Calibration Smoothing¶

by Josh Dillon, last updated October 21, 2025

This notebook runs calibration smoothing to the gains coming out of file_calibration notebook. It removes any flags founds on by that notebook and replaces them with flags generated from full_day_rfi and full_day_antenna_flagging. It flags antennas with high relative difference between the original gains and smoothed gains. It also plots the results for a couple of antennas.

Here's a set of links to skip to particular figures and tables:

• Figure 1: Identifying and Blacklisting abscal Failures¶

• Figure 2: Antenna Phases with Identified Phase Flips¶

• Figure 3: Full-Day Gain Amplitudes Before and After smooth_cal¶

• Figure 4: Full-Day Gain Phases Before and After smooth_cal¶

• Figure 5: Full-Day $\chi^2$ / DoF Waterfall from Redundant-Baseline Calibration¶

• Figure 6: Average $\chi^2$ per Antenna¶

• Figure 7: Relative Difference Before and After Smoothing¶

In [1]:
import time
tstart = time.time()
In [2]:
import os
os.environ['HDF5_USE_FILE_LOCKING'] = 'FALSE'
import h5py
import hdf5plugin  # REQUIRED to have the compression plugins available
import numpy as np
import glob
import copy
import warnings
import matplotlib
import matplotlib.pyplot as plt
from hera_cal import io, utils, smooth_cal
from hera_qm.time_series_metrics import true_stretches
%matplotlib inline
from IPython.display import display, HTML

Parse inputs¶

In [3]:
# get files
SUM_FILE = os.environ.get("SUM_FILE", None)
# SUM_FILE = "/lustre/aoc/projects/hera/h6c-analysis/IDR3/2459893/zen.2459893.25258.sum.uvh5"
SUM_SUFFIX = os.environ.get("SUM_SUFFIX", 'sum.uvh5')
CAL_SUFFIX = os.environ.get("CAL_SUFFIX", 'sum.omni.calfits')
SMOOTH_CAL_SUFFIX = os.environ.get("SMOOTH_CAL_SUFFIX", 'sum.smooth.calfits')
ANT_FLAG_SUFFIX = os.environ.get("ANT_FLAG_SUFFIX", 'sum.antenna_flags.h5')
RFI_FLAG_SUFFIX = os.environ.get("RFI_FLAG_SUFFIX", 'sum.flag_waterfall.h5')
FREQ_SMOOTHING_SCALE = float(os.environ.get("FREQ_SMOOTHING_SCALE", 30.0)) # MHz
TIME_SMOOTHING_SCALE = float(os.environ.get("TIME_SMOOTHING_SCALE", 1e4)) # seconds
EIGENVAL_CUTOFF = float(os.environ.get("EIGENVAL_CUTOFF", 1e-12))
PER_POL_REFANT = os.environ.get("PER_POL_REFANT", "False").upper() == "TRUE"
BLACKLIST_TIMESCALE_FACTOR = float(os.environ.get("BLACKLIST_TIMESCALE_FACTOR", 4.0))
BLACKLIST_RELATIVE_ERROR_THRESH = float(os.environ.get("BLACKLIST_RELATIVE_ERROR_THRESH", 1))
BLACKLIST_RELATIVE_WEIGHT = float(os.environ.get("BLACKLIST_RELATIVE_WEIGHT", 0.1))
FM_LOW_FREQ = float(os.environ.get("FM_LOW_FREQ", 87.5)) # in MHz
FM_HIGH_FREQ = float(os.environ.get("FM_HIGH_FREQ", 108.0)) # in MHz
SC_RELATIVE_DIFF_CUTOFF = float(os.environ.get("SC_RELATIVE_DIFF_CUTOFF", 0.2))

for setting in ['SUM_FILE', 'SUM_SUFFIX', 'CAL_SUFFIX', 'SMOOTH_CAL_SUFFIX', 'ANT_FLAG_SUFFIX',
                'RFI_FLAG_SUFFIX', 'FREQ_SMOOTHING_SCALE', 'TIME_SMOOTHING_SCALE', 'EIGENVAL_CUTOFF', 
                'PER_POL_REFANT', 'BLACKLIST_TIMESCALE_FACTOR', 'BLACKLIST_RELATIVE_ERROR_THRESH', 
                'BLACKLIST_RELATIVE_WEIGHT', 'FM_LOW_FREQ', 'FM_HIGH_FREQ', 'SC_RELATIVE_DIFF_CUTOFF']:
    if issubclass(type(eval(setting)), str):
        print(f'{setting} = "{eval(setting)}"')
    else:
        print(f'{setting} = {eval(setting)}')

SUM_FILE = "/mnt/sn1/data2/2461028/zen.2461028.25253.sum.uvh5"
SUM_SUFFIX = "sum.uvh5"
CAL_SUFFIX = "sum.omni.calfits"
SMOOTH_CAL_SUFFIX = "sum.smooth.calfits"
ANT_FLAG_SUFFIX = "sum.antenna_flags.h5"
RFI_FLAG_SUFFIX = "sum.flag_waterfall.h5"
FREQ_SMOOTHING_SCALE = 10.0
TIME_SMOOTHING_SCALE = 600000.0
EIGENVAL_CUTOFF = 1e-12
PER_POL_REFANT = False
BLACKLIST_TIMESCALE_FACTOR = 4.0
BLACKLIST_RELATIVE_ERROR_THRESH = 1.0
BLACKLIST_RELATIVE_WEIGHT = 0.1
FM_LOW_FREQ = 87.5
FM_HIGH_FREQ = 108.0
SC_RELATIVE_DIFF_CUTOFF = 0.2

Load files and select reference antenna(s)¶

In [4]:
sum_glob = '.'.join(SUM_FILE.split('.')[:-3]) + '.*.' + SUM_SUFFIX
cal_files_glob = sum_glob.replace(SUM_SUFFIX, CAL_SUFFIX)
cal_files = sorted(glob.glob(cal_files_glob))
print(f'Found {len(cal_files)} *.{CAL_SUFFIX} files starting with {cal_files[0]}.')

Found 1757 *.sum.omni.calfits files starting with /mnt/sn1/data2/2461028/zen.2461028.25253.sum.omni.calfits.
In [5]:
rfi_flag_files_glob = sum_glob.replace(SUM_SUFFIX, RFI_FLAG_SUFFIX)
rfi_flag_files = sorted(glob.glob(rfi_flag_files_glob))
print(f'Found {len(rfi_flag_files)} *.{RFI_FLAG_SUFFIX} files starting with {rfi_flag_files[0]}.')

Found 1757 *.sum.flag_waterfall.h5 files starting with /mnt/sn1/data2/2461028/zen.2461028.25253.sum.flag_waterfall.h5.
In [6]:
ant_flag_files_glob = sum_glob.replace(SUM_SUFFIX, ANT_FLAG_SUFFIX)
ant_flag_files = sorted(glob.glob(ant_flag_files_glob))
print(f'Found {len(ant_flag_files)} *.{ANT_FLAG_SUFFIX} files starting with {ant_flag_files[0]}.')

Found 1757 *.sum.antenna_flags.h5 files starting with /mnt/sn1/data2/2461028/zen.2461028.25253.sum.antenna_flags.h5.
In [7]:
cs = smooth_cal.CalibrationSmoother(cal_files, flag_file_list=(ant_flag_files + rfi_flag_files),
                                    ignore_calflags=True, pick_refant=False, load_chisq=True, load_cspa=True)

invalid value encountered in multiply
In [8]:
# Pick reference antenna(s) but don't let ants known to flip phases get picked as reference antennas
banned_refants = [(144, 'Jnn'), (121, 'Jee'), (71, 'Jnn')]
cs.refant = smooth_cal.pick_reference_antenna({ant: cs.gain_grids[ant] for ant in cs.gain_grids if ant not in banned_refants},
                                              {ant: cs.flag_grids[ant] for ant in cs.gain_grids if ant not in banned_refants},
                                              cs.freqs, per_pol=True)
for pol in cs.refant:
    print(f'Reference antenna {cs.refant[pol][0]} selected for smoothing {pol} gains.')

if not PER_POL_REFANT:
    # in this case, rephase both pols separately before smoothing, but also smooth the relative polarization calibration phasor
    overall_refant = smooth_cal.pick_reference_antenna({ant: cs.gain_grids[ant] for ant in cs.refant.values()}, 
                                                       {ant: cs.flag_grids[ant] for ant in cs.refant.values()}, 
                                                       cs.freqs, per_pol=False)
    print(f'Overall reference antenna {overall_refant} selected.')
    other_refant = [ant for ant in cs.refant.values() if ant != overall_refant][0]

    relative_pol_phasor = cs.gain_grids[overall_refant] * cs.gain_grids[other_refant].conj() # TODO: is this conjugation right?
    relative_pol_phasor /= np.abs(relative_pol_phasor)

abscal_refants = {cs.refant[pol]: cs.gain_grids[cs.refant[pol]] for pol in ['Jee', 'Jnn']}

Reference antenna 203 selected for smoothing Jee gains.
Reference antenna 190 selected for smoothing Jnn gains.

Overall reference antenna (np.int64(203), 'Jee') selected.
In [9]:
cs.rephase_to_refant(propagate_refant_flags=True)
In [10]:
lst_grid = utils.JD2LST(cs.time_grid) * 12 / np.pi
lst_grid[lst_grid > lst_grid[-1]] -= 24

Find consistent outliers in relative error after a coarse smoothing¶

These are typically a sign of failures of abscal.

In [11]:
relative_error_samples = {pol: np.zeros_like(cs.gain_grids[cs.refant[pol]], dtype=float) for pol in ['Jee', 'Jnn']}
sum_relative_error = {pol: np.zeros_like(cs.gain_grids[cs.refant[pol]], dtype=float) for pol in ['Jee', 'Jnn']}
per_ant_avg_relative_error = {} 

# perform a 2D DPSS filter with a BLACKLIST_TIMESCALE_FACTOR longer timescale, averaging the results per-pol
for ant in cs.gain_grids:
    if np.all(cs.flag_grids[ant]):
        continue
    filtered, _ = smooth_cal.time_freq_2D_filter(gains=cs.gain_grids[ant], 
                                                 wgts=(~cs.flag_grids[ant]).astype(float),
                                                 freqs=cs.freqs,
                                                 times=cs.time_grid,
                                                 freq_scale=FREQ_SMOOTHING_SCALE,
                                                 time_scale=TIME_SMOOTHING_SCALE * BLACKLIST_TIMESCALE_FACTOR,
                                                 eigenval_cutoff=EIGENVAL_CUTOFF,
                                                 method='DPSS', 
                                                 fit_method='lu_solve', 
                                                 fix_phase_flips=True, 
                                                 phase_flip_time_scale = TIME_SMOOTHING_SCALE / 2,
                                                 flag_phase_flip_ints=True,
                                                 skip_flagged_edges=True, 
                                                 freq_cuts=[(FM_LOW_FREQ + FM_HIGH_FREQ) * .5e6],
                                                ) 
    relative_error = np.where(cs.flag_grids[ant], 0, np.abs(cs.gain_grids[ant] - filtered) / np.abs(filtered))
    per_ant_avg_relative_error[ant] = np.nanmean(np.where(cs.flag_grids[ant], np.nan, relative_error))
    relative_error_samples[ant[1]] += (~cs.flag_grids[ant]).astype(float)
    sum_relative_error[ant[1]] += relative_error

# figure out per-antpol cuts for where to set weights to 0 for the main smooth_cal (but not necessarily flags)
cs.blacklist_wgt = BLACKLIST_RELATIVE_WEIGHT
for pol in ['Jee', 'Jnn']:
    avg_rel_error = sum_relative_error[pol] / relative_error_samples[pol]
    to_blacklist = np.where(relative_error_samples[pol] > 0, avg_rel_error > BLACKLIST_RELATIVE_ERROR_THRESH, False)
    for ant in cs.ants:
        if ant[1] == pol:
            cs.waterfall_blacklist[ant] = to_blacklist

invalid value encountered in divide
In [12]:
def plot_relative_error():
    with warnings.catch_warnings():
        warnings.simplefilter("ignore")

        fig, axes = plt.subplots(1, 3, figsize=(14, 7))
        extent = [cs.freqs[0] / 1e6, cs.freqs[-1] / 1e6, lst_grid[-1], lst_grid[0]]
        cmap = plt.get_cmap('Greys', 256)
        cmap.set_over('red')
        for ax, pol in zip(axes[0:2], ['Jee', 'Jnn']):
            to_plot = sum_relative_error[pol] / relative_error_samples[pol]
            im = ax.imshow(np.where(np.isfinite(to_plot), to_plot, np.nan), aspect='auto', interpolation='none', 
                           vmin=0, vmax=BLACKLIST_RELATIVE_ERROR_THRESH, extent=extent, cmap=cmap)
            ax.set_title(pol)
            ax.set_yticklabels(ax.get_yticks() % 24)
            ax.set_ylabel('LST (hours)')
            ax.set_xlabel('Frequency (MHz)')
        plt.colorbar(im, ax=axes[0:2], location='top', extend='max', label='Average Relative Error on Initial Smoothing')
        
        for pol in ['Jee', 'Jnn']:
            axes[2].hist((sum_relative_error[pol] / relative_error_samples[pol]).ravel(), bins=np.arange(0,2,.01), alpha=.5, label=pol)
        axes[2].set_yscale('log')
        axes[2].set_ylabel('Number of Waterfall Pixels')
        axes[2].set_xlabel('Relative Error')
        axes[2].axvline(BLACKLIST_RELATIVE_ERROR_THRESH, ls='--', c='r', label='Blacklist Threshold')
        axes[2].legend()

Figure 1: Identifying and Blacklisting abscal Failures¶

This plot highlights regions of the waterfall that are per-polarization blacklisted (i.e. given 0 weight in the main smooth_cal fit, but not necessarily flagged). This is usually a sign of problems with abscal and often occurs because

In [13]:
plot_relative_error()
No description has been provided for this image
In [14]:
# duplicate a small number of abscal gains for plotting
antnums = set([ant[0] for ant in cs.ants])
flags_per_antnum = [np.sum(cs.flag_grids[ant, 'Jnn']) + np.sum(cs.flag_grids[ant, 'Jee']) for ant in antnums]
larger_relative_error = np.array([np.max([per_ant_avg_relative_error.get((ant, pol), np.inf) for pol in ['Jee', 'Jnn']]) for ant in antnums])
refant_nums = [ant[0] for ant in cs.refant.values()]

# pick candidates that don't exhibit too many flags or non-smooth structure on first pass
candidate_ants = []
rel_error_factor = 1
while len(candidate_ants) < 6:  # Select more candidates to ensure we have enough after potential flagging
    candidate_ants = [ant for ant, nflags, rel_err in zip(antnums, flags_per_antnum, larger_relative_error) 
                      if (ant not in refant_nums) and (nflags <= np.percentile(flags_per_antnum, 25))
                      and (rel_err <= SC_RELATIVE_DIFF_CUTOFF * rel_error_factor)
                      and not np.all(cs.flag_grids[ant, 'Jee']) and not np.all(cs.flag_grids[ant, 'Jnn'])]
    rel_error_factor += .1

# choose antennas to plot: select up to 6 candidates, prioritizing diversity across antenna numbers
candidate_ants_sorted = sorted(candidate_ants)
step = max(1, len(candidate_ants_sorted) // 6)  # spread them out
_candidates = sorted(candidate_ants_sorted[::step][:6])
ants_to_plot_candidates = [_candidates[i//2] if i % 2 == 0 else _candidates[-(i//2)-1] for i in range(len(_candidates))]

# Store abscal gains for all candidates
abscal_gains = {}
for pol in ['Jee', 'Jnn']:
    for antnum in ants_to_plot_candidates:
        if PER_POL_REFANT:
            abscal_gains[antnum, pol] = cs.gain_grids[(antnum, pol)] * np.abs(abscal_refants[cs.refant[pol]]) / abscal_refants[cs.refant[pol]]
        else:
            abscal_gains[antnum, pol] = cs.gain_grids[(antnum, pol)] / np.abs(abscal_refants[cs.refant[pol]]) * abscal_refants[cs.refant[pol]]
            abscal_gains[antnum, pol] *= np.abs(abscal_refants[overall_refant]) / abscal_refants[overall_refant]

Perform smoothing¶

In [15]:
if not PER_POL_REFANT:
    # treat the relative_pol_phasor as if it were antenna -1
    cs.gain_grids[(-1, other_refant[1])] = relative_pol_phasor
    cs.flag_grids[(-1, other_refant[1])] = cs.flag_grids[overall_refant] | cs.flag_grids[other_refant]
    cs.waterfall_blacklist[(-1, other_refant[1])] = cs.waterfall_blacklist[cs.ants[0][0], 'Jee'] | cs.waterfall_blacklist[cs.ants[0][0], 'Jnn']
In [16]:
meta = cs.time_freq_2D_filter(freq_scale=FREQ_SMOOTHING_SCALE,
                              time_scale=TIME_SMOOTHING_SCALE,
                              eigenval_cutoff=EIGENVAL_CUTOFF,
                              method='DPSS', 
                              fit_method='lu_solve',
                              fix_phase_flips=True,
                              phase_flip_time_scale = TIME_SMOOTHING_SCALE / 2,
                              flag_phase_flip_ints=True,
                              skip_flagged_edges=True,
                              freq_cuts=[(FM_LOW_FREQ + FM_HIGH_FREQ) * .5e6],)

4 phase flips detected on antenna (np.int64(219), 'Jnn'). A total of 119 integrations were phase-flipped relative to the 0th integration between 2461028.528457211 and 2461028.542885618.

18 phase flips detected on antenna (np.int64(152), 'Jee'). A total of 254 integrations were phase-flipped relative to the 0th integration between 2461028.520068602 and 2461028.549596505.

8 phase flips detected on antenna (np.int64(153), 'Jee'). A total of 336 integrations were phase-flipped relative to the 0th integration between 2461028.5142525 and 2461028.5522808596.

6 phase flips detected on antenna (np.int64(217), 'Jnn'). A total of 292 integrations were phase-flipped relative to the 0th integration between 2461028.519956754 and 2461028.5529519483.

6 phase flips detected on antenna (np.int64(131), 'Jee'). A total of 3 integrations were phase-flipped relative to the 0th integration between 2461028.5331548317 and 2461028.5377406045.

4 phase flips detected on antenna (np.int64(192), 'Jee'). A total of 134 integrations were phase-flipped relative to the 0th integration between 2461028.528457211 and 2461028.5446751877.

4 phase flips detected on antenna (np.int64(55), 'Jnn'). A total of 49 integrations were phase-flipped relative to the 0th integration between 2461028.535279946 and 2461028.5409842.

20 phase flips detected on antenna (np.int64(173), 'Jee'). A total of 259 integrations were phase-flipped relative to the 0th integration between 2461028.520068602 and 2461028.550603138.

2 phase flips detected on antenna (np.int64(119), 'Jnn'). A total of 339 integrations were phase-flipped relative to the 0th integration between 2461028.517048703 and 2461028.554853366.

2 phase flips detected on antenna (np.int64(201), 'Jnn'). A total of 93 integrations were phase-flipped relative to the 0th integration between 2461028.53147711 and 2461028.5417671367.

6 phase flips detected on antenna (np.int64(174), 'Jee'). A total of 390 integrations were phase-flipped relative to the 0th integration between 2461028.510449664 and 2461028.5542941256.

6 phase flips detected on antenna (np.int64(179), 'Jnn'). A total of 288 integrations were phase-flipped relative to the 0th integration between 2461028.5211870833 and 2461028.553846733.

6 phase flips detected on antenna (np.int64(141), 'Jnn'). A total of 202 integrations were phase-flipped relative to the 0th integration between 2461028.5280098184 and 2461028.550826834.

4 phase flips detected on antenna (np.int64(234), 'Jnn'). A total of 301 integrations were phase-flipped relative to the 0th integration between 2461028.519956754 and 2461028.553846733.

4 phase flips detected on antenna (np.int64(200), 'Jnn'). A total of 227 integrations were phase-flipped relative to the 0th integration between 2461028.5262202485 and 2461028.551609771.

12 phase flips detected on antenna (np.int64(193), 'Jee'). A total of 298 integrations were phase-flipped relative to the 0th integration between 2461028.5167131587 and 2461028.550826834.

8 phase flips detected on antenna (np.int64(211), 'Jee'). A total of 8 integrations were phase-flipped relative to the 0th integration between 2461028.5366221233 and 2461028.5416552885.

2 phase flips detected on antenna (np.int64(83), 'Jnn'). A total of 337 integrations were phase-flipped relative to the 0th integration between 2461028.5173842474 and 2461028.5549652143.

6 phase flips detected on antenna (np.int64(113), 'Jee'). A total of 135 integrations were phase-flipped relative to the 0th integration between 2461028.5283453627 and 2461028.5437804027.

4 phase flips detected on antenna (np.int64(69), 'Jnn'). A total of 208 integrations were phase-flipped relative to the 0th integration between 2461028.528457211 and 2461028.551833467.

4 phase flips detected on antenna (np.int64(50), 'Jnn'). A total of 371 integrations were phase-flipped relative to the 0th integration between 2461028.5146998926 and 2461028.5561955436.

4 phase flips detected on antenna (np.int64(269), 'Jnn'). A total of 75 integrations were phase-flipped relative to the 0th integration between 2461028.531700806 and 2461028.540201263.

4 phase flips detected on antenna (np.int64(103), 'Jnn'). A total of 198 integrations were phase-flipped relative to the 0th integration between 2461028.528457211 and 2461028.5510505303.

4 phase flips detected on antenna (np.int64(52), 'Jnn'). A total of 268 integrations were phase-flipped relative to the 0th integration between 2461028.5243188306 and 2461028.5542941256.

2 phase flips detected on antenna (np.int64(16), 'Jnn'). A total of 2 integrations were phase-flipped relative to the 0th integration between 2461028.537069516 and 2461028.537181364.

4 phase flips detected on antenna (np.int64(68), 'Jnn'). A total of 262 integrations were phase-flipped relative to the 0th integration between 2461028.524542527 and 2461028.5539585813.

2 phase flips detected on antenna (np.int64(117), 'Jnn'). A total of 382 integrations were phase-flipped relative to the 0th integration between 2461028.5135814114 and 2461028.5561955436.

2 phase flips detected on antenna (np.int64(132), 'Jee'). A total of 151 integrations were phase-flipped relative to the 0th integration between 2461028.5280098184 and 2461028.544787036.

8 phase flips detected on antenna (np.int64(198), 'Jnn'). A total of 356 integrations were phase-flipped relative to the 0th integration between 2461028.515035437 and 2461028.5550770625.

2 phase flips detected on antenna (np.int64(138), 'Jnn'). A total of 336 integrations were phase-flipped relative to the 0th integration between 2461028.5173842474 and 2461028.554853366.

6 phase flips detected on antenna (np.int64(196), 'Jee'). A total of 3 integrations were phase-flipped relative to the 0th integration between 2461028.5375169083 and 2461028.5398657187.

4 phase flips detected on antenna (np.int64(196), 'Jnn'). A total of 378 integrations were phase-flipped relative to the 0th integration between 2461028.5135814114 and 2461028.5558599993.

6 phase flips detected on antenna (np.int64(178), 'Jnn'). A total of 340 integrations were phase-flipped relative to the 0th integration between 2461028.5158183738 and 2461028.55462967.

2 phase flips detected on antenna (np.int64(177), 'Jnn'). A total of 365 integrations were phase-flipped relative to the 0th integration between 2461028.5146998926 and 2461028.555412607.

2 phase flips detected on antenna (np.int64(118), 'Jnn'). A total of 368 integrations were phase-flipped relative to the 0th integration between 2461028.5145880445 and 2461028.555636303.

8 phase flips detected on antenna (np.int64(282), 'Jnn'). A total of 247 integrations were phase-flipped relative to the 0th integration between 2461028.523647742 and 2461028.551945315.

4 phase flips detected on antenna (np.int64(176), 'Jnn'). A total of 381 integrations were phase-flipped relative to the 0th integration between 2461028.513357715 and 2461028.5559718474.

2 phase flips detected on antenna (np.int64(157), 'Jnn'). A total of 366 integrations were phase-flipped relative to the 0th integration between 2461028.5146998926 and 2461028.555524455.

8 phase flips detected on antenna (np.int64(139), 'Jnn'). A total of 321 integrations were phase-flipped relative to the 0th integration between 2461028.517943488 and 2461028.554517822.

6 phase flips detected on antenna (np.int64(159), 'Jnn'). A total of 280 integrations were phase-flipped relative to the 0th integration between 2461028.5220818683 and 2461028.553511189.

2 phase flips detected on antenna (np.int64(50), 'Jee'). A total of 1 integrations were phase-flipped relative to the 0th integration between 2461028.5389709338 and 2461028.5389709338.

10 phase flips detected on antenna (np.int64(101), 'Jnn'). A total of 314 integrations were phase-flipped relative to the 0th integration between 2461028.5182790323 and 2461028.55462967.

10 phase flips detected on antenna (np.int64(87), 'Jnn'). A total of 33 integrations were phase-flipped relative to the 0th integration between 2461028.535279946 and 2461028.5396420225.

6 phase flips detected on antenna (np.int64(197), 'Jnn'). A total of 358 integrations were phase-flipped relative to the 0th integration between 2461028.515259133 and 2461028.555412607.

8 phase flips detected on antenna (np.int64(15), 'Jnn'). A total of 83 integrations were phase-flipped relative to the 0th integration between 2461028.5331548317 and 2461028.542885618.

6 phase flips detected on antenna (np.int64(281), 'Jnn'). A total of 290 integrations were phase-flipped relative to the 0th integration between 2461028.519956754 and 2461028.552728252.

4 phase flips detected on antenna (np.int64(182), 'Jnn'). A total of 74 integrations were phase-flipped relative to the 0th integration between 2461028.5327074393 and 2461028.5409842.

6 phase flips detected on antenna (np.int64(137), 'Jnn'). A total of 391 integrations were phase-flipped relative to the 0th integration between 2461028.5125747784 and 2461028.55641924.

10 phase flips detected on antenna (np.int64(41), 'Jnn'). A total of 40 integrations were phase-flipped relative to the 0th integration between 2461028.5357273384 and 2461028.5405368074.

2 phase flips detected on antenna (np.int64(67), 'Jnn'). A total of 339 integrations were phase-flipped relative to the 0th integration between 2461028.5173842474 and 2461028.5551889106.

4 phase flips detected on antenna (np.int64(160), 'Jnn'). A total of 215 integrations were phase-flipped relative to the 0th integration between 2461028.526779489 and 2461028.5511623784.

4 phase flips detected on antenna (np.int64(140), 'Jnn'). A total of 245 integrations were phase-flipped relative to the 0th integration between 2461028.5254373117 and 2461028.5528401.

8 phase flips detected on antenna (np.int64(214), 'Jee'). A total of 386 integrations were phase-flipped relative to the 0th integration between 2461028.510449664 and 2461028.5542941256.

4 phase flips detected on antenna (np.int64(122), 'Jnn'). A total of 117 integrations were phase-flipped relative to the 0th integration between 2461028.5308060213 and 2461028.543892251.

6 phase flips detected on antenna (np.int64(283), 'Jnn'). A total of 74 integrations were phase-flipped relative to the 0th integration between 2461028.531588958 and 2461028.5408723517.

6 phase flips detected on antenna (np.int64(181), 'Jnn'). A total of 195 integrations were phase-flipped relative to the 0th integration between 2461028.5281216665 and 2461028.5501557454.

2 phase flips detected on antenna (np.int64(292), 'Jee'). A total of 1 integrations were phase-flipped relative to the 0th integration between 2461028.5416552885 and 2461028.5416552885.

4 phase flips detected on antenna (np.int64(232), 'Jee'). A total of 331 integrations were phase-flipped relative to the 0th integration between 2461028.5158183738 and 2461028.5528401.

6 phase flips detected on antenna (np.int64(162), 'Jnn'). A total of 15 integrations were phase-flipped relative to the 0th integration between 2461028.5357273384 and 2461028.5378524526.

10 phase flips detected on antenna (np.int64(79), 'Jee'). A total of 105 integrations were phase-flipped relative to the 0th integration between 2461028.528457211 and 2461028.541990833.

4 phase flips detected on antenna (np.int64(237), 'Jnn'). A total of 89 integrations were phase-flipped relative to the 0th integration between 2461028.531588958 and 2461028.5416552885.

6 phase flips detected on antenna (np.int64(195), 'Jee'). A total of 412 integrations were phase-flipped relative to the 0th integration between 2461028.50832455 and 2461028.554517822.

2 phase flips detected on antenna (np.int64(84), 'Jnn'). A total of 253 integrations were phase-flipped relative to the 0th integration between 2461028.5254373117 and 2461028.553623037.

10 phase flips detected on antenna (np.int64(123), 'Jnn'). A total of 35 integrations were phase-flipped relative to the 0th integration between 2461028.534385161 and 2461028.5396420225.

4 phase flips detected on antenna (np.int64(53), 'Jnn'). A total of 229 integrations were phase-flipped relative to the 0th integration between 2461028.526779489 and 2461028.5529519483.

2 phase flips detected on antenna (np.int64(38), 'Jnn'). A total of 254 integrations were phase-flipped relative to the 0th integration between 2461028.525661008 and 2461028.5539585813.

2 phase flips detected on antenna (np.int64(250), 'Jnn'). A total of 364 integrations were phase-flipped relative to the 0th integration between 2461028.5145880445 and 2461028.5551889106.

6 phase flips detected on antenna (np.int64(96), 'Jee'). A total of 172 integrations were phase-flipped relative to the 0th integration between 2461028.5254373117 and 2461028.544898884.

2 phase flips detected on antenna (np.int64(319), 'Jee'). A total of 1 integrations were phase-flipped relative to the 0th integration between 2461028.5416552885 and 2461028.5416552885.

6 phase flips detected on antenna (np.int64(66), 'Jnn'). A total of 350 integrations were phase-flipped relative to the 0th integration between 2461028.5158183738 and 2461028.5553007587.

6 phase flips detected on antenna (np.int64(156), 'Jnn'). A total of 396 integrations were phase-flipped relative to the 0th integration between 2461028.5119036897 and 2461028.55641924.

6 phase flips detected on antenna (np.int64(121), 'Jnn'). A total of 222 integrations were phase-flipped relative to the 0th integration between 2461028.526779489 and 2461028.551833467.

4 phase flips detected on antenna (np.int64(134), 'Jee'). A total of 361 integrations were phase-flipped relative to the 0th integration between 2461028.5124629303 and 2461028.5528401.

6 phase flips detected on antenna (np.int64(115), 'Jee'). A total of 359 integrations were phase-flipped relative to the 0th integration between 2461028.512015538 and 2461028.552504556.

8 phase flips detected on antenna (np.int64(97), 'Jee'). A total of 332 integrations were phase-flipped relative to the 0th integration between 2461028.5138051077 and 2461028.5511623784.

10 phase flips detected on antenna (np.int64(80), 'Jee'). A total of 268 integrations were phase-flipped relative to the 0th integration between 2461028.5183908804 and 2461028.549037264.

2 phase flips detected on antenna (np.int64(216), 'Jnn'). A total of 333 integrations were phase-flipped relative to the 0th integration between 2461028.5173842474 and 2461028.554517822.

20 phase flips detected on antenna (np.int64(65), 'Jee'). A total of 14 integrations were phase-flipped relative to the 0th integration between 2461028.537181364 and 2461028.5409842.

4 phase flips detected on antenna (np.int64(65), 'Jnn'). A total of 380 integrations were phase-flipped relative to the 0th integration between 2461028.5138051077 and 2461028.5563073917.

4 phase flips detected on antenna (np.int64(252), 'Jnn'). A total of 220 integrations were phase-flipped relative to the 0th integration between 2461028.5263320967 and 2461028.550938682.

6 phase flips detected on antenna (np.int64(268), 'Jnn'). A total of 113 integrations were phase-flipped relative to the 0th integration between 2461028.528457211 and 2461028.5423263772.

2 phase flips detected on antenna (np.int64(215), 'Jee'). A total of 1 integrations were phase-flipped relative to the 0th integration between 2461028.5389709338 and 2461028.5389709338.

4 phase flips detected on antenna (np.int64(175), 'Jee'). A total of 361 integrations were phase-flipped relative to the 0th integration between 2461028.5138051077 and 2461028.5541822775.

2 phase flips detected on antenna (np.int64(70), 'Jnn'). A total of 89 integrations were phase-flipped relative to the 0th integration between 2461028.5321481987 and 2461028.541990833.

6 phase flips detected on antenna (np.int64(54), 'Jnn'). A total of 102 integrations were phase-flipped relative to the 0th integration between 2461028.5318126543 and 2461028.5436685546.

10 phase flips detected on antenna (np.int64(267), 'Jnn'). A total of 249 integrations were phase-flipped relative to the 0th integration between 2461028.523647742 and 2461028.5520571633.

4 phase flips detected on antenna (np.int64(116), 'Jnn'). A total of 438 integrations were phase-flipped relative to the 0th integration between 2461028.508212702 and 2461028.5572021767.

8 phase flips detected on antenna (np.int64(133), 'Jee'). A total of 207 integrations were phase-flipped relative to the 0th integration between 2461028.5240951343 and 2461028.5481424793.

6 phase flips detected on antenna (np.int64(36), 'Jnn'). A total of 288 integrations were phase-flipped relative to the 0th integration between 2461028.5220818683 and 2461028.554517822.

6 phase flips detected on antenna (np.int64(135), 'Jnn'). A total of 346 integrations were phase-flipped relative to the 0th integration between 2461028.5158183738 and 2461028.5550770625.

2 phase flips detected on antenna (np.int64(155), 'Jnn'). A total of 375 integrations were phase-flipped relative to the 0th integration between 2461028.5142525 and 2461028.5560836955.
In [17]:
# calculate average chi^2 per antenna before additional flagging
avg_cspa_vs_time = {ant: np.nanmean(np.where(cs.flag_grids[ant], np.nan, cs.cspa_grids[ant]), axis=1) for ant in cs.ants}
avg_cspa_vs_freq = {ant: np.nanmean(np.where(cs.flag_grids[ant], np.nan, cs.cspa_grids[ant]), axis=0) for ant in cs.ants}
avg_cspa = {ant: np.nanmean(np.where(cs.flag_grids[ant], np.nan, cs.cspa_grids[ant])) for ant in cs.ants}

Mean of empty slice

Mean of empty slice

Mean of empty slice
In [18]:
# Pick out antennas with too high relative differences before and after smoothing and flag them.
avg_relative_diffs = {ant: np.nanmean(rel_diff) for ant, rel_diff in meta['freq_avg_rel_diff'].items()}
to_cut = sorted([ant for ant, diff in avg_relative_diffs.items() if ant[0] >= 0 and diff > SC_RELATIVE_DIFF_CUTOFF])
if len(to_cut) > 0:
    for ant in to_cut:
        print(f'Flagging antenna {ant[0]}{ant[1][-1]} with a relative difference before and after smoothing of {avg_relative_diffs[ant]:.2%} '
              f'(compared to the {SC_RELATIVE_DIFF_CUTOFF:.2%} cutoff).')
        cs.flag_grids[ant] |= True
else:
    print(f'No antennas have a relative difference above the {SC_RELATIVE_DIFF_CUTOFF:.2%} cutoff.')

Flagging antenna 4e with a relative difference before and after smoothing of 22.89% (compared to the 20.00% cutoff).
Flagging antenna 5e with a relative difference before and after smoothing of 23.76% (compared to the 20.00% cutoff).
Flagging antenna 5n with a relative difference before and after smoothing of 23.78% (compared to the 20.00% cutoff).
Flagging antenna 7e with a relative difference before and after smoothing of 27.28% (compared to the 20.00% cutoff).
Flagging antenna 7n with a relative difference before and after smoothing of 20.45% (compared to the 20.00% cutoff).
Flagging antenna 8e with a relative difference before and after smoothing of 30.61% (compared to the 20.00% cutoff).
Flagging antenna 9e with a relative difference before and after smoothing of 33.67% (compared to the 20.00% cutoff).
Flagging antenna 15e with a relative difference before and after smoothing of 22.41% (compared to the 20.00% cutoff).
Flagging antenna 15n with a relative difference before and after smoothing of 29.58% (compared to the 20.00% cutoff).
Flagging antenna 16n with a relative difference before and after smoothing of 24.62% (compared to the 20.00% cutoff).
Flagging antenna 17e with a relative difference before and after smoothing of 22.61% (compared to the 20.00% cutoff).
Flagging antenna 17n with a relative difference before and after smoothing of 21.65% (compared to the 20.00% cutoff).
Flagging antenna 19e with a relative difference before and after smoothing of 28.57% (compared to the 20.00% cutoff).
Flagging antenna 20e with a relative difference before and after smoothing of 32.18% (compared to the 20.00% cutoff).
Flagging antenna 29e with a relative difference before and after smoothing of 20.40% (compared to the 20.00% cutoff).
Flagging antenna 30e with a relative difference before and after smoothing of 22.98% (compared to the 20.00% cutoff).
Flagging antenna 31e with a relative difference before and after smoothing of 25.65% (compared to the 20.00% cutoff).
Flagging antenna 32e with a relative difference before and after smoothing of 33.86% (compared to the 20.00% cutoff).
Flagging antenna 36e with a relative difference before and after smoothing of 28.10% (compared to the 20.00% cutoff).
Flagging antenna 36n with a relative difference before and after smoothing of 52.48% (compared to the 20.00% cutoff).
Flagging antenna 37e with a relative difference before and after smoothing of 22.51% (compared to the 20.00% cutoff).
Flagging antenna 38e with a relative difference before and after smoothing of 21.59% (compared to the 20.00% cutoff).
Flagging antenna 38n with a relative difference before and after smoothing of 39.99% (compared to the 20.00% cutoff).
Flagging antenna 41n with a relative difference before and after smoothing of 27.03% (compared to the 20.00% cutoff).
Flagging antenna 43e with a relative difference before and after smoothing of 20.06% (compared to the 20.00% cutoff).
Flagging antenna 43n with a relative difference before and after smoothing of 20.34% (compared to the 20.00% cutoff).
Flagging antenna 45e with a relative difference before and after smoothing of 26.51% (compared to the 20.00% cutoff).
Flagging antenna 50e with a relative difference before and after smoothing of 26.21% (compared to the 20.00% cutoff).
Flagging antenna 50n with a relative difference before and after smoothing of 47.44% (compared to the 20.00% cutoff).
Flagging antenna 52e with a relative difference before and after smoothing of 20.04% (compared to the 20.00% cutoff).
Flagging antenna 52n with a relative difference before and after smoothing of 40.03% (compared to the 20.00% cutoff).
Flagging antenna 53n with a relative difference before and after smoothing of 37.24% (compared to the 20.00% cutoff).
Flagging antenna 54n with a relative difference before and after smoothing of 33.56% (compared to the 20.00% cutoff).
Flagging antenna 55n with a relative difference before and after smoothing of 29.09% (compared to the 20.00% cutoff).
Flagging antenna 56n with a relative difference before and after smoothing of 24.63% (compared to the 20.00% cutoff).
Flagging antenna 57n with a relative difference before and after smoothing of 20.97% (compared to the 20.00% cutoff).
Flagging antenna 59e with a relative difference before and after smoothing of 22.14% (compared to the 20.00% cutoff).
Flagging antenna 60e with a relative difference before and after smoothing of 26.28% (compared to the 20.00% cutoff).
Flagging antenna 65e with a relative difference before and after smoothing of 26.95% (compared to the 20.00% cutoff).
Flagging antenna 65n with a relative difference before and after smoothing of 48.17% (compared to the 20.00% cutoff).
Flagging antenna 66e with a relative difference before and after smoothing of 23.27% (compared to the 20.00% cutoff).
Flagging antenna 66n with a relative difference before and after smoothing of 45.67% (compared to the 20.00% cutoff).
Flagging antenna 67e with a relative difference before and after smoothing of 21.02% (compared to the 20.00% cutoff).
Flagging antenna 67n with a relative difference before and after smoothing of 45.23% (compared to the 20.00% cutoff).
Flagging antenna 68n with a relative difference before and after smoothing of 39.82% (compared to the 20.00% cutoff).
Flagging antenna 69n with a relative difference before and after smoothing of 36.49% (compared to the 20.00% cutoff).
Flagging antenna 70n with a relative difference before and after smoothing of 30.71% (compared to the 20.00% cutoff).
Flagging antenna 72n with a relative difference before and after smoothing of 23.56% (compared to the 20.00% cutoff).
Flagging antenna 75e with a relative difference before and after smoothing of 23.17% (compared to the 20.00% cutoff).
Flagging antenna 79e with a relative difference before and after smoothing of 41.66% (compared to the 20.00% cutoff).
Flagging antenna 80e with a relative difference before and after smoothing of 48.29% (compared to the 20.00% cutoff).
Flagging antenna 82e with a relative difference before and after smoothing of 25.61% (compared to the 20.00% cutoff).
Flagging antenna 83e with a relative difference before and after smoothing of 22.35% (compared to the 20.00% cutoff).
Flagging antenna 83n with a relative difference before and after smoothing of 44.77% (compared to the 20.00% cutoff).
Flagging antenna 84n with a relative difference before and after smoothing of 39.48% (compared to the 20.00% cutoff).
Flagging antenna 87n with a relative difference before and after smoothing of 27.05% (compared to the 20.00% cutoff).
Flagging antenna 89n with a relative difference before and after smoothing of 20.46% (compared to the 20.00% cutoff).

Flagging antenna 91e with a relative difference before and after smoothing of 20.78% (compared to the 20.00% cutoff).
Flagging antenna 93e with a relative difference before and after smoothing of 30.94% (compared to the 20.00% cutoff).
Flagging antenna 94e with a relative difference before and after smoothing of 34.93% (compared to the 20.00% cutoff).
Flagging antenna 96e with a relative difference before and after smoothing of 43.93% (compared to the 20.00% cutoff).
Flagging antenna 97e with a relative difference before and after smoothing of 49.79% (compared to the 20.00% cutoff).
Flagging antenna 100e with a relative difference before and after smoothing of 22.30% (compared to the 20.00% cutoff).
Flagging antenna 101n with a relative difference before and after smoothing of 43.11% (compared to the 20.00% cutoff).
Flagging antenna 103n with a relative difference before and after smoothing of 35.74% (compared to the 20.00% cutoff).
Flagging antenna 105n with a relative difference before and after smoothing of 25.15% (compared to the 20.00% cutoff).
Flagging antenna 106n with a relative difference before and after smoothing of 23.19% (compared to the 20.00% cutoff).
Flagging antenna 110e with a relative difference before and after smoothing of 27.69% (compared to the 20.00% cutoff).
Flagging antenna 111e with a relative difference before and after smoothing of 31.73% (compared to the 20.00% cutoff).
Flagging antenna 112e with a relative difference before and after smoothing of 35.85% (compared to the 20.00% cutoff).
Flagging antenna 113e with a relative difference before and after smoothing of 41.19% (compared to the 20.00% cutoff).
Flagging antenna 115e with a relative difference before and after smoothing of 51.03% (compared to the 20.00% cutoff).
Flagging antenna 116n with a relative difference before and after smoothing of 52.22% (compared to the 20.00% cutoff).
Flagging antenna 117n with a relative difference before and after smoothing of 48.41% (compared to the 20.00% cutoff).
Flagging antenna 118e with a relative difference before and after smoothing of 23.93% (compared to the 20.00% cutoff).
Flagging antenna 118n with a relative difference before and after smoothing of 46.38% (compared to the 20.00% cutoff).
Flagging antenna 119e with a relative difference before and after smoothing of 20.94% (compared to the 20.00% cutoff).
Flagging antenna 119n with a relative difference before and after smoothing of 44.50% (compared to the 20.00% cutoff).
Flagging antenna 121n with a relative difference before and after smoothing of 37.43% (compared to the 20.00% cutoff).
Flagging antenna 122n with a relative difference before and after smoothing of 31.91% (compared to the 20.00% cutoff).
Flagging antenna 123n with a relative difference before and after smoothing of 27.47% (compared to the 20.00% cutoff).
Flagging antenna 124n with a relative difference before and after smoothing of 23.73% (compared to the 20.00% cutoff).
Flagging antenna 127e with a relative difference before and after smoothing of 20.45% (compared to the 20.00% cutoff).
Flagging antenna 128e with a relative difference before and after smoothing of 24.20% (compared to the 20.00% cutoff).
Flagging antenna 129e with a relative difference before and after smoothing of 29.14% (compared to the 20.00% cutoff).
Flagging antenna 130e with a relative difference before and after smoothing of 32.96% (compared to the 20.00% cutoff).
Flagging antenna 131e with a relative difference before and after smoothing of 37.99% (compared to the 20.00% cutoff).
Flagging antenna 132e with a relative difference before and after smoothing of 43.18% (compared to the 20.00% cutoff).
Flagging antenna 133e with a relative difference before and after smoothing of 53.58% (compared to the 20.00% cutoff).
Flagging antenna 134e with a relative difference before and after smoothing of 50.66% (compared to the 20.00% cutoff).
Flagging antenna 134n with a relative difference before and after smoothing of 20.01% (compared to the 20.00% cutoff).
Flagging antenna 135n with a relative difference before and after smoothing of 55.42% (compared to the 20.00% cutoff).
Flagging antenna 136e with a relative difference before and after smoothing of 36.24% (compared to the 20.00% cutoff).
Flagging antenna 137e with a relative difference before and after smoothing of 27.20% (compared to the 20.00% cutoff).
Flagging antenna 137n with a relative difference before and after smoothing of 49.76% (compared to the 20.00% cutoff).
Flagging antenna 138e with a relative difference before and after smoothing of 21.58% (compared to the 20.00% cutoff).
Flagging antenna 138n with a relative difference before and after smoothing of 45.25% (compared to the 20.00% cutoff).
Flagging antenna 139n with a relative difference before and after smoothing of 43.62% (compared to the 20.00% cutoff).
Flagging antenna 140n with a relative difference before and after smoothing of 39.91% (compared to the 20.00% cutoff).
Flagging antenna 141n with a relative difference before and after smoothing of 36.98% (compared to the 20.00% cutoff).
Flagging antenna 143n with a relative difference before and after smoothing of 25.82% (compared to the 20.00% cutoff).
Flagging antenna 144n with a relative difference before and after smoothing of 21.62% (compared to the 20.00% cutoff).
Flagging antenna 147e with a relative difference before and after smoothing of 20.65% (compared to the 20.00% cutoff).
Flagging antenna 149e with a relative difference before and after smoothing of 30.45% (compared to the 20.00% cutoff).
Flagging antenna 150e with a relative difference before and after smoothing of 34.37% (compared to the 20.00% cutoff).
Flagging antenna 152e with a relative difference before and after smoothing of 44.99% (compared to the 20.00% cutoff).
Flagging antenna 153e with a relative difference before and after smoothing of 48.93% (compared to the 20.00% cutoff).
Flagging antenna 154n with a relative difference before and after smoothing of 21.59% (compared to the 20.00% cutoff).
Flagging antenna 155n with a relative difference before and after smoothing of 70.10% (compared to the 20.00% cutoff).
Flagging antenna 156e with a relative difference before and after smoothing of 33.02% (compared to the 20.00% cutoff).
Flagging antenna 156n with a relative difference before and after smoothing of 50.06% (compared to the 20.00% cutoff).
Flagging antenna 157e with a relative difference before and after smoothing of 25.89% (compared to the 20.00% cutoff).
Flagging antenna 157n with a relative difference before and after smoothing of 47.40% (compared to the 20.00% cutoff).
Flagging antenna 158e with a relative difference before and after smoothing of 20.99% (compared to the 20.00% cutoff).

Flagging antenna 159n with a relative difference before and after smoothing of 42.23% (compared to the 20.00% cutoff).
Flagging antenna 160n with a relative difference before and after smoothing of 38.07% (compared to the 20.00% cutoff).
Flagging antenna 162n with a relative difference before and after smoothing of 29.45% (compared to the 20.00% cutoff).
Flagging antenna 163n with a relative difference before and after smoothing of 25.25% (compared to the 20.00% cutoff).
Flagging antenna 164n with a relative difference before and after smoothing of 21.34% (compared to the 20.00% cutoff).
Flagging antenna 168e with a relative difference before and after smoothing of 22.17% (compared to the 20.00% cutoff).
Flagging antenna 173e with a relative difference before and after smoothing of 45.46% (compared to the 20.00% cutoff).
Flagging antenna 174e with a relative difference before and after smoothing of 50.80% (compared to the 20.00% cutoff).
Flagging antenna 175e with a relative difference before and after smoothing of 51.94% (compared to the 20.00% cutoff).
Flagging antenna 175n with a relative difference before and after smoothing of 24.45% (compared to the 20.00% cutoff).
Flagging antenna 176n with a relative difference before and after smoothing of 49.50% (compared to the 20.00% cutoff).
Flagging antenna 177e with a relative difference before and after smoothing of 28.03% (compared to the 20.00% cutoff).
Flagging antenna 177n with a relative difference before and after smoothing of 48.03% (compared to the 20.00% cutoff).
Flagging antenna 178e with a relative difference before and after smoothing of 23.35% (compared to the 20.00% cutoff).
Flagging antenna 178n with a relative difference before and after smoothing of 45.34% (compared to the 20.00% cutoff).
Flagging antenna 179n with a relative difference before and after smoothing of 42.14% (compared to the 20.00% cutoff).
Flagging antenna 181n with a relative difference before and after smoothing of 37.40% (compared to the 20.00% cutoff).
Flagging antenna 182n with a relative difference before and after smoothing of 31.46% (compared to the 20.00% cutoff).
Flagging antenna 184n with a relative difference before and after smoothing of 23.43% (compared to the 20.00% cutoff).
Flagging antenna 189e with a relative difference before and after smoothing of 23.18% (compared to the 20.00% cutoff).
Flagging antenna 190e with a relative difference before and after smoothing of 27.97% (compared to the 20.00% cutoff).
Flagging antenna 191e with a relative difference before and after smoothing of 32.50% (compared to the 20.00% cutoff).
Flagging antenna 192e with a relative difference before and after smoothing of 38.34% (compared to the 20.00% cutoff).
Flagging antenna 193e with a relative difference before and after smoothing of 46.18% (compared to the 20.00% cutoff).
Flagging antenna 195e with a relative difference before and after smoothing of 52.58% (compared to the 20.00% cutoff).
Flagging antenna 195n with a relative difference before and after smoothing of 21.16% (compared to the 20.00% cutoff).
Flagging antenna 196e with a relative difference before and after smoothing of 29.93% (compared to the 20.00% cutoff).
Flagging antenna 196n with a relative difference before and after smoothing of 49.79% (compared to the 20.00% cutoff).
Flagging antenna 197e with a relative difference before and after smoothing of 27.32% (compared to the 20.00% cutoff).
Flagging antenna 197n with a relative difference before and after smoothing of 47.87% (compared to the 20.00% cutoff).
Flagging antenna 198e with a relative difference before and after smoothing of 22.83% (compared to the 20.00% cutoff).
Flagging antenna 198n with a relative difference before and after smoothing of 47.10% (compared to the 20.00% cutoff).
Flagging antenna 200n with a relative difference before and after smoothing of 38.67% (compared to the 20.00% cutoff).
Flagging antenna 201n with a relative difference before and after smoothing of 33.46% (compared to the 20.00% cutoff).
Flagging antenna 203n with a relative difference before and after smoothing of 25.41% (compared to the 20.00% cutoff).
Flagging antenna 208e with a relative difference before and after smoothing of 21.09% (compared to the 20.00% cutoff).
Flagging antenna 209e with a relative difference before and after smoothing of 25.98% (compared to the 20.00% cutoff).
Flagging antenna 210e with a relative difference before and after smoothing of 29.56% (compared to the 20.00% cutoff).
Flagging antenna 211e with a relative difference before and after smoothing of 34.23% (compared to the 20.00% cutoff).
Flagging antenna 214e with a relative difference before and after smoothing of 50.98% (compared to the 20.00% cutoff).
Flagging antenna 215e with a relative difference before and after smoothing of 28.35% (compared to the 20.00% cutoff).
Flagging antenna 216e with a relative difference before and after smoothing of 23.64% (compared to the 20.00% cutoff).
Flagging antenna 216n with a relative difference before and after smoothing of 46.08% (compared to the 20.00% cutoff).
Flagging antenna 217n with a relative difference before and after smoothing of 43.52% (compared to the 20.00% cutoff).
Flagging antenna 219n with a relative difference before and after smoothing of 35.16% (compared to the 20.00% cutoff).
Flagging antenna 221n with a relative difference before and after smoothing of 27.44% (compared to the 20.00% cutoff).
Flagging antenna 222n with a relative difference before and after smoothing of 23.33% (compared to the 20.00% cutoff).
Flagging antenna 223n with a relative difference before and after smoothing of 20.67% (compared to the 20.00% cutoff).
Flagging antenna 228e with a relative difference before and after smoothing of 28.01% (compared to the 20.00% cutoff).
Flagging antenna 229e with a relative difference before and after smoothing of 32.36% (compared to the 20.00% cutoff).
Flagging antenna 232e with a relative difference before and after smoothing of 47.01% (compared to the 20.00% cutoff).
Flagging antenna 233e with a relative difference before and after smoothing of 27.78% (compared to the 20.00% cutoff).
Flagging antenna 234e with a relative difference before and after smoothing of 22.23% (compared to the 20.00% cutoff).
Flagging antenna 234n with a relative difference before and after smoothing of 44.54% (compared to the 20.00% cutoff).
Flagging antenna 237n with a relative difference before and after smoothing of 34.90% (compared to the 20.00% cutoff).
Flagging antenna 238n with a relative difference before and after smoothing of 30.12% (compared to the 20.00% cutoff).
Flagging antenna 239n with a relative difference before and after smoothing of 26.20% (compared to the 20.00% cutoff).
Flagging antenna 244e with a relative difference before and after smoothing of 20.94% (compared to the 20.00% cutoff).

Flagging antenna 245e with a relative difference before and after smoothing of 25.27% (compared to the 20.00% cutoff).
Flagging antenna 250n with a relative difference before and after smoothing of 50.10% (compared to the 20.00% cutoff).
Flagging antenna 252n with a relative difference before and after smoothing of 42.01% (compared to the 20.00% cutoff).
Flagging antenna 254n with a relative difference before and after smoothing of 32.57% (compared to the 20.00% cutoff).
Flagging antenna 255n with a relative difference before and after smoothing of 30.01% (compared to the 20.00% cutoff).
Flagging antenna 256n with a relative difference before and after smoothing of 26.28% (compared to the 20.00% cutoff).
Flagging antenna 257n with a relative difference before and after smoothing of 21.53% (compared to the 20.00% cutoff).
Flagging antenna 267n with a relative difference before and after smoothing of 46.17% (compared to the 20.00% cutoff).
Flagging antenna 268n with a relative difference before and after smoothing of 37.99% (compared to the 20.00% cutoff).
Flagging antenna 269n with a relative difference before and after smoothing of 35.82% (compared to the 20.00% cutoff).
Flagging antenna 271n with a relative difference before and after smoothing of 27.37% (compared to the 20.00% cutoff).
Flagging antenna 272n with a relative difference before and after smoothing of 24.94% (compared to the 20.00% cutoff).
Flagging antenna 273n with a relative difference before and after smoothing of 20.67% (compared to the 20.00% cutoff).
Flagging antenna 281e with a relative difference before and after smoothing of 21.90% (compared to the 20.00% cutoff).
Flagging antenna 281n with a relative difference before and after smoothing of 44.87% (compared to the 20.00% cutoff).
Flagging antenna 282n with a relative difference before and after smoothing of 43.55% (compared to the 20.00% cutoff).
Flagging antenna 283n with a relative difference before and after smoothing of 36.51% (compared to the 20.00% cutoff).
Flagging antenna 285n with a relative difference before and after smoothing of 30.49% (compared to the 20.00% cutoff).
Flagging antenna 292e with a relative difference before and after smoothing of 28.02% (compared to the 20.00% cutoff).
Flagging antenna 299n with a relative difference before and after smoothing of 28.20% (compared to the 20.00% cutoff).
Flagging antenna 301n with a relative difference before and after smoothing of 22.36% (compared to the 20.00% cutoff).
Flagging antenna 306e with a relative difference before and after smoothing of 30.34% (compared to the 20.00% cutoff).
Flagging antenna 313n with a relative difference before and after smoothing of 24.55% (compared to the 20.00% cutoff).
Flagging antenna 316e with a relative difference before and after smoothing of 22.72% (compared to the 20.00% cutoff).
Flagging antenna 317e with a relative difference before and after smoothing of 25.58% (compared to the 20.00% cutoff).
Flagging antenna 319e with a relative difference before and after smoothing of 33.07% (compared to the 20.00% cutoff).
In [19]:
if not PER_POL_REFANT:
    # put back in the smoothed phasor, ensuring the amplitude is 1 and that data are flagged anywhere either polarization's refant is flagged
    smoothed_relative_pol_phasor = cs.gain_grids[(-1, other_refant[-1])] / np.abs(cs.gain_grids[(-1, other_refant[-1])])
    for ant in cs.gain_grids:
        if ant[0] >= 0 and ant[1] == other_refant[1]:
            cs.gain_grids[ant] /= smoothed_relative_pol_phasor
        cs.flag_grids[ant] |= (cs.flag_grids[(-1, other_refant[1])])
    cs.refant = overall_refant
In [20]:
def phase_flip_diagnostic_plot():
    '''Shows time-smoothed antenna avg phases after taking out a delay and filtering in time.'''
    if not np.any([np.any(meta['phase_flipped'][ant]) for ant in meta['phase_flipped']]):
        print("No antennas have phase flips identified. Nothing to plot.")
        return
    
    plt.figure(figsize=(14,4))
    for ant in meta['phase_flipped']:
        if np.any(meta['phase_flipped'][ant]):
            to_plot = np.angle(np.exp(1.0j * (meta['phases'][ant] - meta['time_smoothed_phases'][ant])))
            to_plot[to_plot < -np.pi / 2] += 2 * np.pi
            plt.plot(cs.time_grid - int(cs.time_grid[0]), to_plot, label=f'{ant[0]}{ant[1][-1]}')
    plt.legend(title='Antennas with Identified Phase Flips', ncol=4)
    plt.xlabel(f'JD - {int(cs.time_grid[0])}')
    plt.ylabel('Average Phase After Filtering (radians)')
    plt.tight_layout()

Figure 2: Antenna Phases with Identified Phase Flips¶

In [21]:
phase_flip_diagnostic_plot()
No description has been provided for this image

Plot results¶

In [22]:
def amplitude_plot(ant_to_plot):
    with warnings.catch_warnings():
        warnings.simplefilter("ignore")
        # Pick vmax to not saturate 90% of the abscal gains
        vmax = np.max([np.percentile(np.abs(cs.gain_grids[ant_to_plot, pol][~cs.flag_grids[ant_to_plot, pol]]), 99) for pol in ['Jee', 'Jnn']])

        display(HTML(f'<h2>Antenna {ant_to_plot} Amplitude Waterfalls</h2>'))    

        # Plot abscal gain amplitude waterfalls for a single antenna
        fig, axes = plt.subplots(4, 2, figsize=(14,14), gridspec_kw={'height_ratios': [1, 1, .4, .4]})
        for ax, pol in zip(axes[0], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)
            extent=[cs.freqs[0]/1e6, cs.freqs[-1]/1e6, lst_grid[-1], lst_grid[0]]
            im = ax.imshow(np.where(cs.flag_grids[ant], np.nan, np.abs(cs.gain_grids[ant])), aspect='auto', cmap='inferno', 
                           interpolation='nearest', vmin=0, vmax=vmax, extent=extent)
            ax.set_title(f'Smoothcal Gain Amplitude of Antenna {ant[0]}: {pol[-1]}-polarized' )
            ax.set_xlabel('Frequency (MHz)')
            ax.set_ylabel('LST (Hours)')
            ax.set_xlim([cs.freqs[0]/1e6, cs.freqs[-1]/1e6])
            ax.set_yticklabels(ax.get_yticks() % 24)
            plt.colorbar(im, ax=ax,  orientation='horizontal', pad=.15)

        # Now flagged plot abscal waterfall    
        for ax, pol in zip(axes[1], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)
            extent=[cs.freqs[0]/1e6, cs.freqs[-1]/1e6, lst_grid[-1], lst_grid[0]]
            im = ax.imshow(np.where(cs.flag_grids[ant], np.nan, np.abs(abscal_gains[ant])), aspect='auto', cmap='inferno', 
                           interpolation='nearest', vmin=0, vmax=vmax, extent=extent)
            ax.set_title(f'Abscal Gain Amplitude of Antenna {ant[0]}: {pol[-1]}-polarized' )
            ax.set_xlabel('Frequency (MHz)')
            ax.set_ylabel('LST (Hours)')
            ax.set_xlim([cs.freqs[0]/1e6, cs.freqs[-1]/1e6])
            ax.set_yticklabels(ax.get_yticks() % 24)
            plt.colorbar(im, ax=ax,  orientation='horizontal', pad=.15)
            
        # Now plot mean gain spectra 
        for ax, pol in zip(axes[2], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)   
            nflags_spectrum = np.sum(cs.flag_grids[ant], axis=0)
            to_plot = nflags_spectrum <= np.percentile(nflags_spectrum, 75)
            ax.plot(cs.freqs[to_plot] / 1e6, np.nanmean(np.where(cs.flag_grids[ant], np.nan, np.abs(abscal_gains[ant])), axis=0)[to_plot], 'r.', label='Abscal')        
            ax.plot(cs.freqs[to_plot] / 1e6, np.nanmean(np.where(cs.flag_grids[ant], np.nan, np.abs(cs.gain_grids[ant])), axis=0)[to_plot], 'k.', ms=2, label='Smoothed')        
            ax.set_ylim([0, vmax])
            ax.set_xlim([cs.freqs[0]/1e6, cs.freqs[-1]/1e6])    
            ax.set_xlabel('Frequency (MHz)')
            ax.set_ylabel('|g| (unitless)')
            ax.set_title(f'Mean Infrequently-Flagged Gain Amplitude of Antenna {ant[0]}: {pol[-1]}-polarized')
            ax.legend(loc='upper left')

        # Now plot mean gain time series
        for ax, pol in zip(axes[3], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)
            nflags_series = np.sum(cs.flag_grids[ant], axis=1)
            to_plot = nflags_series <= np.percentile(nflags_series, 75)
            ax.plot(lst_grid[to_plot], np.nanmean(np.where(cs.flag_grids[ant], np.nan, np.abs(abscal_gains[ant])), axis=1)[to_plot], 'r.', label='Abscal')        
            ax.plot(lst_grid[to_plot], np.nanmean(np.where(cs.flag_grids[ant], np.nan, np.abs(cs.gain_grids[ant])), axis=1)[to_plot], 'k.', ms=2, label='Smoothed')        
            ax.set_ylim([0, vmax])
            ax.set_xlabel('LST (hours)')
            ax.set_ylabel('|g| (unitless)')
            ax.set_title(f'Mean Infrequently-Flagged Gain Amplitude of Antenna {ant[0]}: {pol[-1]}-polarized')
            ax.set_xticklabels(ax.get_xticks() % 24)
            ax.legend(loc='upper left')

        plt.tight_layout()
        plt.show()
In [23]:
def phase_plot(ant_to_plot):
    with warnings.catch_warnings():
        warnings.simplefilter("ignore")    
        display(HTML(f'<h2>Antenna {ant_to_plot} Phase Waterfalls</h2>'))
        fig, axes = plt.subplots(4, 2, figsize=(14,14), gridspec_kw={'height_ratios': [1, 1, .4, .4]})
        
        # Plot phase waterfalls for a single antenna    
        for ax, pol in zip(axes[0], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)
            extent=[cs.freqs[0]/1e6, cs.freqs[-1]/1e6, lst_grid[-1], lst_grid[0]]
            im = ax.imshow(np.where(cs.flag_grids[ant], np.nan, np.angle(cs.gain_grids[ant])), aspect='auto', cmap='inferno', 
                           interpolation='nearest', vmin=-np.pi, vmax=np.pi, extent=extent)

            refant = (cs.refant[pol] if isinstance(cs.refant, dict) else cs.refant)
            ax.set_title(f'Smoothcal Gain Phase of Ant {ant[0]}{pol[-1]} / Ant {refant[0]}{refant[1][-1]}')
            ax.set_xlabel('Frequency (MHz)')
            ax.set_ylabel('LST (Hours)')
            ax.set_xlim([cs.freqs[0]/1e6, cs.freqs[-1]/1e6])
            ax.set_yticklabels(ax.get_yticks() % 24)
            plt.colorbar(im, ax=ax,  orientation='horizontal', pad=.15)

        # Now plot abscal phase waterfall    
        for ax, pol in zip(axes[1], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)
            extent=[cs.freqs[0]/1e6, cs.freqs[-1]/1e6, lst_grid[-1], lst_grid[0]]
            im = ax.imshow(np.where(cs.flag_grids[ant], np.nan, np.angle(abscal_gains[ant])), aspect='auto', cmap='inferno', 
                           interpolation='nearest', vmin=-np.pi, vmax=np.pi, extent=extent)
            refant = (cs.refant[pol] if isinstance(cs.refant, dict) else cs.refant)
            ax.set_title(f'Abscal Gain Phase of Ant {ant[0]}{pol[-1]} / Ant {refant[0]}{refant[1][-1]}')
            ax.set_xlabel('Frequency (MHz)')
            ax.set_ylabel('LST (Hours)')
            ax.set_xlim([cs.freqs[0]/1e6, cs.freqs[-1]/1e6])
            ax.set_yticklabels(ax.get_yticks() % 24)
            plt.colorbar(im, ax=ax,  orientation='horizontal', pad=.15)
            
        # Now plot median gain spectra 
        for ax, pol in zip(axes[2], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)   
            nflags_spectrum = np.sum(cs.flag_grids[ant], axis=0)
            to_plot = nflags_spectrum <= np.percentile(nflags_spectrum, 75)
            ax.plot(cs.freqs[to_plot] / 1e6, np.nanmedian(np.where(cs.flag_grids[ant], np.nan, np.angle(abscal_gains[ant])), axis=0)[to_plot], 'r.', label='Abscal')        
            ax.plot(cs.freqs[to_plot] / 1e6, np.nanmedian(np.where(cs.flag_grids[ant], np.nan, np.angle(cs.gain_grids[ant])), axis=0)[to_plot], 'k.', ms=2, label='Smoothed')        
            ax.set_ylim([-np.pi, np.pi])
            ax.set_xlim([cs.freqs[0]/1e6, cs.freqs[-1]/1e6])    
            ax.set_xlabel('Frequency (MHz)')
            refant = (cs.refant[pol] if isinstance(cs.refant, dict) else cs.refant)
            ax.set_ylabel(f'Phase of g$_{{{ant[0]}{pol[-1]}}}$ / g$_{{{refant[0]}{refant[1][-1]}}}$')
            ax.set_title(f'Median Infrequently-Flagged Gain Phase of Ant {ant[0]}{pol[-1]} / Ant {refant[0]}{refant[1][-1]}')
            ax.legend(loc='upper left')

        # # Now plot median gain time series
        for ax, pol in zip(axes[3], ['Jee', 'Jnn']):
            ant = (ant_to_plot, pol)
            nflags_series = np.sum(cs.flag_grids[ant], axis=1)
            to_plot = nflags_series <= np.percentile(nflags_series, 75)
            ax.plot(lst_grid[to_plot], np.nanmean(np.where(cs.flag_grids[ant], np.nan, np.angle(abscal_gains[ant])), axis=1)[to_plot], 'r.', label='Abscal')        
            ax.plot(lst_grid[to_plot], np.nanmean(np.where(cs.flag_grids[ant], np.nan, np.angle(cs.gain_grids[ant])), axis=1)[to_plot], 'k.', ms=2, label='Smoothed')        
            ax.set_ylim([-np.pi, np.pi])    
            ax.set_xlabel('LST (hours)')
            refant = (cs.refant[pol] if isinstance(cs.refant, dict) else cs.refant)
            ax.set_ylabel(f'Phase of g$_{{{ant[0]}{pol[-1]}}}$ / g$_{{{refant[0]}{refant[1][-1]}}}$')
            ax.set_title(f'Mean Infrequently-Flagged Gain Phase of Ant {ant[0]}{pol[-1]} / Ant {refant[0]}{refant[1][-1]}')
            ax.set_xticklabels(ax.get_xticks() % 24)    
            ax.legend(loc='upper left')

        plt.tight_layout()
        plt.show()
In [24]:
# Select first 2 unflagged antennas from candidates for amplitude plotting
ants_to_plot = []
for ant_candidate in ants_to_plot_candidates:
    if not (np.all(cs.flag_grids[ant_candidate, 'Jee']) and np.all(cs.flag_grids[ant_candidate, 'Jnn'])):
        ants_to_plot.append(ant_candidate)
        if len(ants_to_plot) >= 2:
            break

Figure 3: Full-Day Gain Amplitudes Before and After smooth_cal¶

Here we plot abscal and smooth_cal gain amplitudes for both of the sample antennas. We also show means across time/frequency, excluding frequencies/times that are frequently flagged.

In [25]:
if len(ants_to_plot) == 0:
    print("Warning: No unflagged antennas available for plotting.")
else:
    for ant_to_plot in ants_to_plot:
        amplitude_plot(ant_to_plot)

Antenna 108 Amplitude Waterfalls

No description has been provided for this image

Antenna 225 Amplitude Waterfalls

No description has been provided for this image

Figure 4: Full-Day Gain Phases Before and After smooth_cal¶

Here we plot abscal and smooth_cal phases relative to each polarization's reference antenna for both of the sample antennas. We also show medians across time/frequency, excluding frequencies/times that are frequently flagged.

In [26]:
# Use the same selected unflagged antennas for phase plotting
if len(ants_to_plot) == 0:
    print("Warning: No unflagged antennas available for plotting.")
else:
    for ant_to_plot in ants_to_plot:
        phase_plot(ant_to_plot)

Antenna 108 Phase Waterfalls

No description has been provided for this image

Antenna 225 Phase Waterfalls

No description has been provided for this image

Examine $\chi^2$¶

In [27]:
def chisq_plot():
    fig, axes = plt.subplots(1, 2, figsize=(14, 10), sharex=True, sharey=True)
    extent = [cs.freqs[0]/1e6, cs.freqs[-1]/1e6, lst_grid[-1], lst_grid[0]]
    for ax, pol in zip(axes, ['Jee', 'Jnn']):
        refant = (cs.refant[pol] if isinstance(cs.refant, dict) else cs.refant)
        im = ax.imshow(np.where(cs.flag_grids[refant], np.nan, cs.chisq_grids[pol]), vmin=1, vmax=5, 
                       aspect='auto', cmap='turbo', interpolation='none', extent=extent)
        ax.set_yticklabels(ax.get_yticks() % 24)
        ax.set_title(f'{pol[1:]}-Polarized $\\chi^2$ / DoF')
        ax.set_xlabel('Frequency (MHz)')

    axes[0].set_ylabel('LST (hours)')
    plt.tight_layout()
    fig.colorbar(im, ax=axes, pad=.07, label='$\\chi^2$ / DoF', orientation='horizontal', extend='both', aspect=50)

Figure 5: Full-Day $\chi^2$ / DoF Waterfall from Redundant-Baseline Calibration¶

Here we plot $\chi^2$ per degree of freedom from redundant-baseline calibration for both polarizations separately. While this plot is a little out of place, as it was not produced by this notebook, it is a convenient place where all the necessary components are readily available. If the array were perfectly redundant and any non-redundancies in the calibrated visibilities were explicable by thermal noise alone, this waterfall should be all 1.

In [28]:
chisq_plot()

set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
No description has been provided for this image
In [29]:
def cspa_vs_time_plot():
    fig, axes = plt.subplots(2, 1, figsize=(14, 6), sharex=True, sharey=True, gridspec_kw={'hspace': 0})
    for ax, pol in zip(axes, ['Jee', 'Jnn']):
        detail_cutoff = np.percentile([np.nanmean(m) for ant, m in avg_cspa_vs_time.items() 
                                       if ant[1] == pol and np.isfinite(np.nanmean(m))], 95)
        for ant in avg_cspa_vs_time:
            if ant[1] == pol and not np.all(cs.flag_grids[ant]):
                if np.nanmean(avg_cspa_vs_time[ant]) > detail_cutoff:
                    ax.plot(lst_grid, avg_cspa_vs_time[ant], label=str((int(ant[0]), ant[1])), zorder=100)
                else:
                    ax.plot(lst_grid, avg_cspa_vs_time[ant], c='grey', alpha=.2, lw=.5)
        ax.legend(title=f'{pol[1:]}-Polarized', ncol=2)
        ax.set_ylabel('Mean Unflagged $\\chi^2$ per Antenna')
        ax.set_xlabel('LST (hours)')
        ax.set_xticklabels(ax.get_xticks() % 24)

    plt.ylim([1, 5.4])
    plt.tight_layout()
In [30]:
def cspa_vs_freq_plot():
    fig, axes = plt.subplots(2, 1, figsize=(14, 6), sharex=True, sharey=True, gridspec_kw={'hspace': 0})
    for ax, pol in zip(axes, ['Jee', 'Jnn']):
        detail_cutoff = np.percentile([np.nanmean(m) for ant, m in avg_cspa_vs_freq.items() 
                                       if ant[1] == pol and np.isfinite(np.nanmean(m))], 95)
        for ant in avg_cspa_vs_freq:
            if ant[1] == pol and not np.all(cs.flag_grids[ant]):
                if np.nanmean(avg_cspa_vs_freq[ant]) > detail_cutoff:
                    ax.plot(cs.freqs / 1e6, avg_cspa_vs_freq[ant], label=str((int(ant[0]), ant[1])), zorder=100)
                else:
                    ax.plot(cs.freqs / 1e6, avg_cspa_vs_freq[ant], c='grey', alpha=.2, lw=.5)
        ax.legend(title=f'{pol[1:]}-Polarized', ncol=2)
        ax.set_ylabel('Mean Unflagged $\\chi^2$ per Antenna')
        ax.set_xlabel('Frequency (MHz)')

    plt.ylim([1, 5.4])
    plt.tight_layout()
In [31]:
def avg_cspa_array_plot():
    hd = io.HERAData(SUM_FILE)
    
    fig, axes = plt.subplots(1, 2, figsize=(14, 8), sharex=True, sharey=True, gridspec_kw={'wspace': 0})
    for pol, ax in zip(['Jee', 'Jnn'], axes):

        ants_here = [ant for ant in avg_cspa if np.isfinite(avg_cspa[ant]) and ant[1] == pol if ant[0] in hd.antpos]
        avg_chisqs = [avg_cspa[ant] for ant in ants_here]
        xs = [hd.antpos[ant[0]][0] for ant in ants_here]
        ys = [hd.antpos[ant[0]][1] for ant in ants_here]
        names = [ant[0] for ant in ants_here]
        
        im = ax.scatter(x=xs, y=ys, c=avg_chisqs, s=200, vmin=1, vmax=3, cmap='turbo')
        ax.set_aspect('equal')
        for x,y,n in zip(xs, ys, names):
            ax.text(x, y, str(n), va='center', ha='center', fontsize=8)
        ax.set_title(pol)
        ax.set_xlabel('East-West Antenna Position (m)')
    
    axes[0].set_ylabel('North-South Antenna Position (m)')

    plt.tight_layout()
    plt.colorbar(im, ax=axes, location='top', aspect=60, pad=.04, label='Mean Unflagged $\\chi^2$ per Antenna', extend='both')

Figure 6: Average $\chi^2$ per Antenna¶

Here we plot $\chi^2$ per antenna from redundant-baseline calibration, separating polarizations and averaging the unflagged pixels in the waterfalls over frequency or time. The worst 5% of antennas are shown in color and highlighted in the legends, the rest are shown in grey. We also show time- and frequency-averaged $\chi^2$ for each antennas as a scatter plot with array position.

In [32]:
cspa_vs_freq_plot()
cspa_vs_time_plot()
avg_cspa_array_plot()

Mean of empty slice

set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
Mean of empty slice
set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
No description has been provided for this image
No description has been provided for this image
No description has been provided for this image

Examine relative differences before and after smoothing¶

In [33]:
def time_avg_diff_plot():
    fig, axes = plt.subplots(2, 1, figsize=(14, 6), sharex=True, sharey=True, gridspec_kw={'hspace': 0})
    for ax, pol in zip(axes, ['Jee', 'Jnn']):
        detail_cutoff = np.percentile([np.nanmean(diff) for ant, diff in meta['time_avg_rel_diff'].items() 
                                       if ant[1] == pol and np.isfinite(np.nanmean(diff))], 95)    
        for ant, rel_diff in meta['time_avg_rel_diff'].items():
            if ant[0] >= 0 and ant[1] == pol and np.any(np.isfinite(rel_diff)):
                if np.nanmean(rel_diff) > detail_cutoff:
                    if np.all(cs.flag_grids[ant]):
                        ax.plot(cs.freqs / 1e6, rel_diff, label=str((int(ant[0]), ant[1])), zorder=99, ls='--', c='r', lw=.5)    
                    else:
                        ax.plot(cs.freqs / 1e6, rel_diff, label=str((int(ant[0]), ant[1])), zorder=100)
                else:
                    ax.plot(cs.freqs / 1e6, rel_diff, c='grey', alpha=.2, lw=.5)
        med_rel_diff = np.nanmedian([diff for ant, diff in meta['time_avg_rel_diff'].items() if ant[1] == pol], axis=0)
        ax.plot(cs.freqs / 1e6, med_rel_diff, 'k--', label='Median')
        ax.set_ylim([0, 1.05])
        ax.legend(title=f'{pol[1:]}-Polarized', ncol=2)
        ax.set_ylabel('Time-Averaged Relative Difference\nBefore and After Smoothing')
        ax.set_xlabel('Frequency (MHz)')
    plt.tight_layout()
In [34]:
def freq_avg_diff_plot():
    fig, axes = plt.subplots(2, 1, figsize=(14, 6), sharex=True, sharey=True, gridspec_kw={'hspace': 0})
    for ax, pol in zip(axes, ['Jee', 'Jnn']):
        detail_cutoff = np.percentile([np.nanmean(m) for ant, m in meta['freq_avg_rel_diff'].items() 
                                       if ant[1] == pol and np.isfinite(np.nanmean(m))], 95)    
        for ant, rel_diff in meta['freq_avg_rel_diff'].items():
            if ant[0] >= 0 and ant[1] == pol and np.any(np.isfinite(rel_diff)):
                if np.nanmean(rel_diff) > detail_cutoff:
                    if np.all(cs.flag_grids[ant]):
                        ax.plot(lst_grid, rel_diff, label=str((int(ant[0]), ant[1])), zorder=99, ls='--', c='r', lw=.5)    
                    else:
                        ax.plot(lst_grid, rel_diff, label=str((int(ant[0]), ant[1])), zorder=100)
                else:
                    ax.plot(lst_grid, rel_diff, c='grey', alpha=.2, lw=.5)
        
        med_rel_diff = np.nanmedian([diff for ant, diff in meta['freq_avg_rel_diff'].items() if ant[1] == pol], axis=0)
        ax.plot(lst_grid, med_rel_diff, 'k--', label='Median', zorder=101)
        ax.set_ylim([0, 1.05])
        ax.legend(title=f'{pol[1:]}-Polarized', ncol=2)
        ax.set_ylabel('Frequency-Averaged Relative Difference\nBefore and After Smoothing')
        ax.set_xlabel('LST (hours)')
        ax.set_xticklabels(ax.get_xticks() % 24)
    plt.tight_layout()
In [35]:
def avg_difference_array_plot():
    hd = io.HERAData(SUM_FILE)
    
    fig, axes = plt.subplots(1, 2, figsize=(14, 8), sharex=True, sharey=True, gridspec_kw={'wspace': 0})
    for pol, ax in zip(['Jee', 'Jnn'], axes):
    
        avg_diffs = [np.nanmean(meta['time_avg_rel_diff'][ant]) for ant in meta['time_avg_rel_diff'] if ant[1] == pol if ant[0] in hd.antpos]
        xs = [hd.antpos[ant[0]][0] for ant in meta['time_avg_rel_diff'] if ant[1] == pol if ant[0] in hd.antpos]
        ys = [hd.antpos[ant[0]][1] for ant in meta['time_avg_rel_diff'] if ant[1] == pol if ant[0] in hd.antpos]
        names = [ant[0] for ant in meta['time_avg_rel_diff'] if ant[1] == pol if ant[0] in hd.antpos]
        
        im = ax.scatter(x=xs, y=ys, c=avg_diffs, s=200, vmin=0, vmax=.25, cmap='turbo')
        ax.set_aspect('equal')
        for x,y,n in zip(xs, ys, names):
            color = ('w' if np.all(cs.flag_grids[n, pol]) else 'k')
            ax.text(x, y, str(n), va='center', ha='center', fontsize=8, c=color)
        ax.set_title(pol)
        ax.set_xlabel('East-West Antenna Position (m)')
    
    axes[0].set_ylabel('North-South Antenna Position (m)')

    plt.tight_layout()
    plt.colorbar(im, ax=axes, location='top', aspect=60, pad=.04, label='Average Relative Difference Before and After Smoothing', extend='max')

Figure 7: Relative Difference Before and After Smoothing¶

Similar to the above plots, here we show the relative difference before and after smoothing, compared to the magnitude of the smoothed calibration solution. Totally flagged antennas (because they are above the SC_RELATIVE_DIFF_CUTOFF) are red in the first two plots, and their numbers are white in the last plot.

In [36]:
time_avg_diff_plot()
freq_avg_diff_plot()
avg_difference_array_plot()

All-NaN slice encountered

All-NaN slice encountered
set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
All-NaN slice encountered
set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
No description has been provided for this image
No description has been provided for this image
No description has been provided for this image

Save Results¶

In [37]:
add_to_history = 'Produced by calibration_smoothing notebook with the following environment:\n' + '=' * 65 + '\n' + os.popen('conda env export').read() + '=' * 65
In [38]:
cs.write_smoothed_cal(output_replace=(CAL_SUFFIX, SMOOTH_CAL_SUFFIX), add_to_history=add_to_history, clobber=True)

Mean of empty slice

invalid value encountered in multiply
invalid value encountered in divide

Metadata¶

In [39]:
for repo in ['hera_cal', 'hera_qm', 'hera_filters', 'hera_notebook_templates', 'pyuvdata']:
    exec(f'from {repo} import __version__')
    print(f'{repo}: {__version__}')

hera_cal: 3.7.7.dev68+g3286222d3
hera_qm: 2.2.1.dev4+gf6d02113b
hera_filters: 0.1.7

hera_notebook_templates: 0.1.dev989+gee0995d
pyuvdata: 3.2.5.dev1+g5a985ae31
In [40]:
print(f'Finished execution in {(time.time() - tstart) / 60:.2f} minutes.')

Finished execution in 84.81 minutes.