m-thesis-introduction/airshower_beacon_simulation/bd_antenna_phase_deltas.py

303 lines
11 KiB
Python
Executable File

#!/usr/bin/env python3
# vim: fdm=indent ts=4
import h5py
from itertools import combinations, zip_longest
import matplotlib.pyplot as plt
from matplotlib.colors import Normalize
import matplotlib as mpl
import numpy as np
import json
import aa_generate_beacon as beacon
import lib
from lib import figlib
if __name__ == "__main__":
from os import path
import sys
import os
import matplotlib
if os.name == 'posix' and "DISPLAY" not in os.environ:
matplotlib.use('Agg')
from scriptlib import MyArgumentParser
parser = MyArgumentParser()
args = parser.parse_args()
figsize = (12,8)
show_plots = args.show_plots
ref_ant_id = None # leave None for all baselines
####
fname_dir = args.data_dir
antennas_fname = path.join(fname_dir, beacon.antennas_fname)
time_diffs_fname = 'time_diffs.hdf5' if False else antennas_fname
fig_dir = args.fig_dir # set None to disable saving
beacon_snr_fname = path.join(fname_dir, beacon.beacon_snr_fname)
basenames, time_diffs, f_beacons, clock_phase_diffs, k_periods = beacon.read_baseline_time_diffs_hdf5(time_diffs_fname)
f_beacon, tx, antennas = beacon.read_beacon_hdf5(antennas_fname)
# TODO: allow multiple frequencies
if (f_beacon != f_beacons).any():
raise NotImplementedError
N_base = len(basenames)
N_ant = len(antennas)
# reshape time_diffs into N_ant x N_ant matrix
clock_phase_matrix = np.full( (N_ant, N_ant), np.nan, dtype=float)
## set i=i terms to 0
for i in range(N_ant):
clock_phase_matrix[i,i] = 0
## fill matrix
name2idx = lambda name: int(name)-1
for i, b in enumerate(basenames):
idx = (name2idx(b[0]), name2idx(b[1]))
#if idx[1] < idx[0]:
# idx = (idx[1], idx[0])
clock_phase_matrix[(idx[0], idx[1])] = lib.phase_mod(clock_phase_diffs[i])
clock_phase_matrix[(idx[1], idx[0])] = lib.phase_mod(-1*clock_phase_diffs[i])
mat_kwargs = dict(
norm = Normalize(vmin=-np.pi, vmax=+np.pi),
cmap = mpl.cm.get_cmap('Spectral_r')
)
# Show Matrix as figure
if True:
fig, ax = plt.subplots(figsize=figsize)
ax.set_title("Measured clock phase differences Baseline i,j")
ax.set_ylabel("Antenna no. i")
ax.set_xlabel("Antenna no. j")
im = ax.imshow(clock_phase_matrix, interpolation='none', **mat_kwargs)
fig.colorbar(im, ax=ax)
if fig_dir:
fig.savefig(path.join(fig_dir, path.basename(__file__) + f".matrix.original.pdf"))
plt.close(fig)
# Modify the matrix to let each column represent multiple
# measurements of the same baseline (j,0) phase difference
if True:
# for each row j subtract the 0,j element from the whole row
# and apply phase_mod
first_row = -1*(clock_phase_matrix[0,:] * np.ones_like(clock_phase_matrix)).T
# Show subtraction Matrix as figure
if True:
fig, ax = plt.subplots(figsize=figsize)
ax.set_title("Clock Phase Subtraction matrix i,j")
ax.set_ylabel("Antenna no. i")
ax.set_xlabel("Antenna no. j")
im = ax.imshow(first_row, interpolation='none', **mat_kwargs)
fig.colorbar(im, ax=ax)
if fig_dir:
fig.savefig(path.join(fig_dir, path.basename(__file__) + f".matrix.first_row.pdf"))
plt.close(fig)
clock_phase_matrix = clock_phase_matrix - first_row
clock_phase_matrix = lib.phase_mod(clock_phase_matrix)
# Except for the first row, these are all separate measurements
# Condense into phase offset per antenna
if True: # do not use the first row
my_mask = np.arange(1, len(clock_phase_matrix), dtype=int)
else:
my_mask = np.arange(0, len(clock_phase_matrix), dtype=int)
mean_clock_phase = np.nanmean(clock_phase_matrix[my_mask], axis=0)
std_clock_phase = np.nanstd( clock_phase_matrix[my_mask], axis=0)
# Remove the mean from the matrix
if False:
clock_phase_matrix = clock_phase_matrix - np.mean(mean_clock_phase)
mean_clock_phase = np.nanmean(clock_phase_matrix[my_mask], axis=0)
std_clock_phase = np.nanstd( clock_phase_matrix[my_mask], axis=0)
# Show resulting matrix as figure
if True:
fig, axs = plt.subplots(2,1, sharex=True, figsize=figsize)
axs[0].set_title("Modified clock phase differences Baseline 0,j")
axs[0].set_ylabel("Antenna no. 0")
axs[-1].set_xlabel("Antenna no. j")
im = axs[0].imshow(clock_phase_matrix, interpolation='none', **mat_kwargs)
fig.colorbar(im, ax=axs)
axs[0].set_aspect('auto')
colours = [mat_kwargs['cmap'](mat_kwargs['norm'](x)) for x in mean_clock_phase]
axs[1].set_ylabel("Mean Baseline Phase (0, j)[rad]")
axs[1].errorbar(np.arange(N_ant), mean_clock_phase, yerr=std_clock_phase, ls='none')
axs[1].scatter(np.arange(N_ant), mean_clock_phase, c=colours,s=4)
if fig_dir:
fig.savefig(path.join(fig_dir, path.basename(__file__) + f".matrix.modified.pdf"))
plt.close(fig)
# write into antenna hdf5
with h5py.File(antennas_fname, 'a') as fp:
group = fp['antennas']
freq_name = None
for i, ant in enumerate(antennas):
h5ant = group[ant.name]
h5beacon_info = h5ant['beacon_info']
# find out freq_name
if freq_name is None:
freq_name = [ k for k in h5beacon_info.keys() if np.isclose(h5beacon_info[k].attrs['freq'], f_beacon)][0]
h5attrs = h5beacon_info[freq_name].attrs
idx = name2idx(ant.name)
h5attrs['clock_phase_mean'] = mean_clock_phase[idx]
h5attrs['clock_phase_std'] = std_clock_phase[idx]
##############################
# Compare actual time shifts #
##############################
beacon_snrs = beacon.read_snr_file(beacon_snr_fname)
snr_str = f"$\\langle SNR \\rangle$ = {beacon_snrs['mean']: .1g}"
actual_antenna_time_shifts = { a.name: a.attrs['clock_offset'] for a in sorted(antennas, key=lambda a: int(a.name)) }
if True:
actual_antenna_phase_shifts = [ -1*lib.phase_mod(2*np.pi*f_beacon*v) for k,v in actual_antenna_time_shifts.items() ]
antenna_names = [int(k)-1 for k,v in actual_antenna_time_shifts.items() ]
# Make sure to shift all antennas by a global phase
global_phase_shift = actual_antenna_phase_shifts[0] - mean_clock_phase[0]
actual_antenna_phase_shifts = lib.phase_mod(actual_antenna_phase_shifts - global_phase_shift )
fit_info = {}
for i in range(2):
plot_residuals = i == 1
true_phases = actual_antenna_phase_shifts
measured_phases = mean_clock_phase
hist_kwargs = {}
if plot_residuals:
measured_phases = lib.phase_mod(measured_phases - actual_antenna_phase_shifts)
fig, _fit_info = figlib.phase_comparison_figure(
measured_phases,
true_phases,
plot_residuals=plot_residuals,
f_beacon=f_beacon,
figsize=figsize,
hist_kwargs=hist_kwargs,
fit_gaussian=plot_residuals,
fit_randomphasesum=plot_residuals,
return_fit_info = True,
)
axs = fig.get_axes()
axs[0].legend(title=snr_str)
if plot_residuals:
axs[0].set_title("Difference between Measured and Actual phases (minus global phase)\n for Antenna $i$")
axs[-1].set_xlabel("Antenna Mean Phase Residual $\\Delta_\\varphi$")
else:
axs[0].set_title("Comparison Measured and Actual phases (minus global phase)\n for Antenna $i$")
axs[-1].set_xlabel("Antenna Mean Phase $\\varphi$")
i=1
axs[i].set_ylabel("Antenna no.")
#axs[i].errorbar(mean_clock_phase, np.arange(N_ant), yerr=std_clock_phase, marker='4', alpha=0.7, ls='none', color=colors[0], label='Measured')
fig.tight_layout()
if fig_dir:
extra_name = "measured"
if plot_residuals:
extra_name = "residuals"
fig.savefig(path.join(fig_dir, path.basename(__file__) + f".phase.{extra_name}.pdf"))
# Save fit_info to data file
if fname_dir and plot_residuals:
with open(path.join(fname_dir, 'phase_time_residuals.json'), 'w') as fp:
json.dump(
{
'mean': np.mean(measured_phases),
'std': np.std(measured_phases),
'values': measured_phases.tolist(),
},
fp)
##########################
##########################
##########################
actual_baseline_time_shifts = []
for i,b in enumerate(basenames):
actual_baseline_time_shift = actual_antenna_time_shifts[b[0]] - actual_antenna_time_shifts[b[1]]
actual_baseline_time_shifts.append(actual_baseline_time_shift)
# unpack mean_clock_phase back into a list of time diffs
measured_baseline_time_diffs = []
for i,b in enumerate(basenames):
phase0, phase1 = mean_clock_phase[name2idx(b[0])], mean_clock_phase[name2idx(b[1])]
measured_baseline_time_diffs.append(lib.phase_mod(phase1 - phase0)/(2*np.pi*f_beacon))
# Make a plot
if True:
for i in range(2):
fig, ax = plt.subplots(figsize=figsize)
ax.set_title("Baseline Time difference reconstruction" + ( '' if i == 0 else ' (wrapped time)'))
ax.set_xlabel("Baseline no.")
ax.set_ylabel("Time $\\Delta t$ [ns]")
if True:
forward = lambda x: x/(2*np.pi*f_beacon)
inverse = lambda x: 2*np.pi*x*f_beacon
secax = ax.secondary_yaxis('right', functions=(inverse, forward))
secax.set_ylabel('Phase $\\Delta \\varphi$ [rad]')
if True: # indicate single beacon period span
ax.plot((-1, -1), (-1/(2*f_beacon), 1/(2*f_beacon)), marker='3', ms=10, label='1/f_beacon')
if i == 0:
ax.plot(np.arange(N_base), actual_baseline_time_shifts, ls='none', marker='h', alpha=0.8, label='actual time shifts')
else:
ax.plot(np.arange(N_base), (actual_baseline_time_shifts+1/(2*f_beacon))%(1/f_beacon) - 1/(2*f_beacon), ls='none', marker='h', label='actual time shifts', alpha=0.8)
ax.plot(np.arange(N_base), measured_baseline_time_diffs, ls='none', alpha=0.8, marker='x', label='calculated')
ax.legend(title=snr_str)
if fig_dir:
extra_name = ''
if i == 1:
extra_name = '.wrapped'
old_lims = (ax.get_xlim(), ax.get_ylim())
for j in range(2):
if j == 1:
ax.set_xlim(-5, 50)
extra_name += '.n50'
fig.savefig(path.join(fig_dir, path.basename(__file__) + f".time_comparison{extra_name}.pdf"))
ax.set_xlim(*old_lims[0])
ax.set_ylim(*old_lims[1])
if show_plots:
plt.show()