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ZH: Determine SNR for Airshower vs Noise
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3 changed files with 113 additions and 14 deletions
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@ -18,7 +18,8 @@ import lib
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# {{{ vim marker
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tx_fname = 'tx.json'
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antennas_fname = 'antennas.hdf5'
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beacon_snr_fname = 'snr.json'
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beacon_snr_fname = 'beacon_snr.json'
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airshower_snr_fname = 'airshower_snr.json'
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c_light = lib.c_light
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def read_antenna_clock_repair_offsets(antennas, mode='all', freq_name=None):
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@ -418,6 +419,12 @@ if __name__ == "__main__":
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# Collect all data to be saved (with the first 3 values the E fields)
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traces = np.array([antenna.Ex, antenna.Ey, antenna.Ez, beacon, noise_realisation])
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append_antenna_hdf5( antennas_fname, antenna, traces, name='original_traces', prepend_time=True)
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E_AxB = [np.dot(ev.uAxB,[ex,ey,ez]) for ex,ey,ez in zip(traces[0], traces[1], traces[2])]
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t_AxB = antenna.t
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append_antenna_hdf5( antennas_fname, antenna, [t_AxB, E_AxB, t_AxB, t_AxB], name='original_E_AxB', prepend_time=False)# Note the 4 element list containing dummys at idx 2 and 3
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# add beacon and noise to relevant polarisations
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for j, amp in enumerate(beacon_amplitudes):
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traces[j] = traces[j] + amp*beacon + noise_realisation
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@ -433,7 +440,6 @@ if __name__ == "__main__":
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# Save filtered E field in E_AxB
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E_AxB = [np.dot(ev.uAxB,[ex,ey,ez]) for ex,ey,ez in zip(traces[0], traces[1], traces[2])]
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t_AxB = antenna.t
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append_antenna_hdf5( antennas_fname, antenna, [t_AxB, E_AxB], name='E_AxB', prepend_time=False)
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@ -43,6 +43,7 @@ if __name__ == "__main__":
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antennas_fname = path.join(fname_dir, beacon.antennas_fname)
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tx_fname = path.join(fname_dir, beacon.tx_fname)
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beacon_snr_fname = path.join(fname_dir, beacon.beacon_snr_fname)
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airshower_snr_fname = path.join(fname_dir, beacon.airshower_snr_fname)
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# create fig_dir
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if fig_dir:
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@ -52,6 +53,17 @@ if __name__ == "__main__":
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f_beacon, tx, antennas = beacon.read_beacon_hdf5(antennas_fname, traces_key='filtered_traces')
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_, __, txdata = beacon.read_tx_file(tx_fname)
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# Read zeropadded traces
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_, __, signal_antennas = beacon.read_beacon_hdf5(antennas_fname, traces_key='original_E_AxB', read_AxB=False )
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# !!HACK!! Repack traces in signal_antennas to antennas
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for i, ant in enumerate(signal_antennas):
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if antennas[i].name != ant.name:
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print("Error!")
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import sys
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sys.exit()
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antennas[i].orig_E_AxB = ant.Ex
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# general properties
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dt = antennas[0].t[1] - antennas[0].t[0] # ns
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beacon_pb = lib.passband(f_beacon, None) # GHz
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@ -76,7 +88,7 @@ if __name__ == "__main__":
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ant = antennas[0]
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fig, ax = plt.subplots(figsize=figsize)
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_debug_snrs = lib.signal_to_noise(myfilter(beacon_amp*ant.beacon), myfilter(ant.noise), samplerate=1/dt, signal_band=beacon_pb, noise_band=noise_pb, debug_ax=ax)
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_debug_snrs = lib.signal_to_noise(myfilter(beacon_amp*ant.beacon), myfilter(ant.noise), samplerate=1/dt, signal_band=beacon_pb, noise_band=noise_pb, debug_ax=ax, mode='sine')
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ax.legend(title="$\\langle SNR \\rangle$ = {: .1e}".format(np.mean(_debug_snrs)))
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@ -87,13 +99,14 @@ if __name__ == "__main__":
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ax.set_xlim(low_x, high_x)
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if fig_dir:
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fig.savefig(path.join(fig_dir, path.basename(__file__) + f".debug_plot.pdf"))
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fig.savefig(path.join(fig_dir, path.basename(__file__) + f".beacon_vs_noise_snr.debug_plot.pdf"))
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##
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## Beacon vs Noise SNR
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##
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if True:
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N_samples = len(antennas[0].beacon)
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beacon_snrs = [ lib.signal_to_noise(myfilter(beacon_amp*ant.beacon), myfilter(ant.noise), samplerate=1/dt, signal_band=beacon_pb, noise_band=noise_pb) for i, ant in enumerate(antennas) ]
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beacon_snrs = [ lib.signal_to_noise(myfilter(beacon_amp*ant.beacon), myfilter(ant.noise), samplerate=1/dt, signal_band=beacon_pb, noise_band=noise_pb, mode='sine') for i, ant in enumerate(antennas) ]
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# write mean and std to file
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beacon.write_snr_file(beacon_snr_fname, beacon_snrs)
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@ -111,7 +124,7 @@ if __name__ == "__main__":
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## Beacon vs Total SNR
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##
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if True:
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beacon_snrs = [ lib.signal_to_noise(myfilter(beacon_amp*ant.beacon), ant.E_AxB, samplerate=1/dt, signal_band=beacon_pb, noise_band=pb) for ant in antennas ]
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beacon_snrs = [ lib.signal_to_noise(myfilter(beacon_amp*ant.beacon), ant.E_AxB, samplerate=1/dt, signal_band=beacon_pb, noise_band=pb, mode='sine') for ant in antennas ]
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fig, ax = plt.subplots(figsize=figsize)
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ax.set_title("Maximum Beacon/Total SNR")
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@ -122,26 +135,89 @@ if __name__ == "__main__":
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if fig_dir:
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fig.savefig(path.join(fig_dir, path.basename(__file__) + f".beacon_vs_total_snr.pdf"))
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##
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## Debug plot of Signal vs Noise SNR
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##
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if True:
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ant = antennas[0]
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fig, ax = plt.subplots(figsize=figsize)
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_debug_snrs = lib.signal_to_noise(myfilter(ant.orig_E_AxB), myfilter(ant.noise), samplerate=1/dt, debug_ax=ax, mode='pulse')
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ax.legend(title="$\\langle SNR \\rangle$ = {: .1e}".format(np.mean(_debug_snrs)))
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ax.set_title("Signal (max amp) and Noise (rms)")
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ax.set_xlabel("Samples")
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ax.set_ylabel("Amplitude")
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if fig_dir:
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fig.savefig(path.join(fig_dir, path.basename(__file__) + f".airshower_vs_noise_snr.debug_plot.pdf"))
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##
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## Signal vs Noise SNR
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##
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if True:
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beacon_snrs = [ lib.signal_to_noise(myfilter(ant.E_AxB - beacon_amp*ant.beacon), myfilter(ant.noise), samplerate=1/dt, signal_band=beacon_pb, noise_band=pb) for ant in antennas ]
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airshower_snrs = [ lib.signal_to_noise(myfilter(ant.orig_E_AxB), myfilter(ant.noise), samplerate=1/dt, mode='pulse') for ant in antennas ]
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# write mean and std to file
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beacon.write_snr_file(airshower_snr_fname, airshower_snrs)
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fig, ax = plt.subplots(figsize=figsize)
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ax.set_title("Maximum Airshower/Noise SNR")
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ax.set_xlabel("Antenna no.")
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ax.set_ylabel("SNR")
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ax.plot([ int(ant.name) for ant in antennas], beacon_snrs, 'o', ls='none')
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ax.plot([ int(ant.name) for ant in antennas], airshower_snrs, 'o', ls='none')
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if fig_dir:
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fig.savefig(path.join(fig_dir, path.basename(__file__) + f".airshower_vs_noise_snr.pdf"))
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##
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## Airshower signal vs Noise SNR
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## Debug plot of Signal vs Beacon SNR
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##
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if True:
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shower_snrs = [ lib.signal_to_noise(ant.E_AxB, myfilter(ant.noise), samplerate=1/dt, signal_band=pb, noise_band=pb) for ant in antennas ]
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ant = antennas[0]
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fig, ax = plt.subplots(figsize=figsize)
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if False: #indirect SNR max_amp(signal) vs max_amp(beacon)
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_debug_snrs_E_AxB = lib.signal_to_noise(myfilter(ant.orig_E_AxB), myfilter(ant.noise), samplerate=1/dt, debug_ax=ax, mode='pulse')
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_debug_snrs_sine = lib.signal_to_noise(myfilter(beacon_amp*ant.beacon), myfilter(ant.noise), samplerate=1/dt, debug_ax=ax, mode='pulse')
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_debug_snrs = _debug_snrs_E_AxB / _debug_snrs_sine
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else: # direct max_amp(signal) vs rms(beacon)
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_debug_snrs = lib.signal_to_noise(myfilter(ant.orig_E_AxB), myfilter(beacon_amp*ant.beacon), samplerate=1/dt, debug_ax=ax, mode='pulse')
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ax.legend(title="$\\langle SNR \\rangle$ = {: .1e}".format(np.mean(_debug_snrs)))
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ax.set_title("Signal (max amp), Beacon (max amp) and Noise (rms)")
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ax.set_xlabel("Samples")
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ax.set_ylabel("Amplitude")
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if fig_dir:
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fig.savefig(path.join(fig_dir, path.basename(__file__) + f".airshower_vs_beacon_snr.debug_plot.pdf"))
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##
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## Signal vs Beacon SNR
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##
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if True:
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shower_beacon_snrs = [ lib.signal_to_noise(myfilter(ant.orig_E_AxB), myfilter(beacon_amp*ant.beacon), samplerate=1/dt, mode='pulse') for ant in antennas ]
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fig, ax = plt.subplots(figsize=figsize)
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ax.set_title("Maximum Airshower/Beacon RMS SNR")
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ax.set_xlabel("Antenna no.")
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ax.set_ylabel("SNR")
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ax.plot([ int(ant.name) for ant in antennas], beacon_snrs, 'o', ls='none')
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if fig_dir:
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fig.savefig(path.join(fig_dir, path.basename(__file__) + f".airshower_vs_beacon_snr.pdf"))
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##
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## Total signal vs Noise SNR
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##
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if True:
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shower_snrs = [ lib.signal_to_noise(ant.E_AxB, myfilter(ant.noise), samplerate=1/dt, mode='pulse') for ant in antennas ]
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fig, ax = plt.subplots(figsize=figsize)
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ax.set_title("Total (Signal+Beacon+Noise)/Noise SNR")
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@ -80,7 +80,7 @@ def bandpower(samples, samplerate=1, band=passband(), normalise_bandsize=True, d
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return power
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def signal_to_noise(samples, noise, samplerate=1, signal_band=passband(), noise_band=None, debug_ax=False):
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def signal_to_noise(samples, noise, samplerate=1, signal_band=passband(), noise_band=None, debug_ax=False, mode='sine'):
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if noise_band is None:
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noise_band = signal_band
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@ -90,8 +90,25 @@ def signal_to_noise(samples, noise, samplerate=1, signal_band=passband(), noise_
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if debug_ax is True:
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debug_ax = plt.gca()
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noise_power = bandpower(noise, samplerate, noise_band, debug_ax=debug_ax)
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if mode == 'sine':
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noise_power = bandpower(noise, samplerate, noise_band, debug_ax=debug_ax)
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noise_amplitude = np.sqrt(noise_power)
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signal_power = bandpower(samples, samplerate, signal_band, debug_ax=debug_ax)
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signal_power = bandpower(samples, samplerate, signal_band, debug_ax=debug_ax)
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signal_amplitude = np.sqrt(signal_power)
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return (signal_power/noise_power)**0.5
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elif mode == 'pulse':
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noise_amplitude = np.sqrt(np.mean(noise**2))
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signal_amplitude = max(np.abs(samples))
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if debug_ax:
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l1 = debug_ax.plot(noise, alpha=0.5)
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debug_ax.axhline(noise_amplitude, alpha=0.9, color=l1[0].get_color())
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l2 = debug_ax.plot(samples, alpha=0.5)
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debug_ax.axhline(signal_amplitude, alpha=0.9, color=l2[0].get_color())
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else:
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raise NotImplementedError("mode not in ['sine', 'pulse']")
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return signal_amplitude/noise_amplitude
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