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sample_AuxTDE.py
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sample_AuxTDE.py
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# -*- coding: utf-8 -*-
import numpy as np
import AuxTDE
from functions.tictoc import tictoc
if __name__ == "__main__":
np.random.seed(577)
# signal parameters
l_sig = 2 ** 14
n_ch = 8
true_TD = 5 * np.random.random(n_ch - 1)
true_TD = np.append(0, true_TD)
# experimental parameters
n_iter_t = 10
n_iter_a = 10
n_epoch = 3
# simulation
x = np.zeros([l_sig, n_ch])
x[:, 0] = np.random.randn(l_sig)
x1spec = np.fft.rfft(x[:, 0])
freq = np.arange(0, l_sig // 2 + 1)
w = 2 * np.pi * freq / l_sig
# delayed signals
amp = np.random.random([l_sig // 2 + 1, n_ch]) + 0.5
for ch in range(1, n_ch):
tmp = amp[:, ch] * np.fft.rfft(x[:, 0]) * np.exp(1j * w * true_TD[ch])
x[:, ch] = np.fft.irfft(tmp)
# main
gcc = tictoc("PW-GCC")
gcc.tic()
est_gcc = AuxTDE.init_tau(x, is_naive=True)
gcc.toc()
parafit = tictoc("PW-Parafit")
parafit.tic()
est_parafit = AuxTDE.init_tau(x)
parafit.toc()
pw_aux = tictoc("PW-AuxTDE")
pw_aux.tic()
est_pw_aux = AuxTDE.PW_AuxTDE(x, n_iter=n_iter_t)
pw_aux.toc()
aux_unit = tictoc("AuxTDE_unitAmp")
aux_unit.tic()
est_aux_unit = AuxTDE.AuxTDE(x, n_iter_t=n_iter_t, n_iter_a=1, n_epoch=1)
aux_unit.toc()
aux_freq = tictoc("AuxTDE_freqAmp")
aux_freq.tic()
est_aux_freq = AuxTDE.AuxTDE(
x, n_iter_t=n_iter_t, n_iter_a=n_iter_a, n_epoch=n_epoch, average=False
)
aux_freq.toc()
aux_shrd = tictoc("AuxTDE_shrdAmp")
aux_shrd.tic()
est_aux_shrd = AuxTDE.AuxTDE(
x, n_iter_t=n_iter_t, n_iter_a=n_iter_a, n_epoch=n_epoch, average=True
)
aux_shrd.toc()
# results
print("----------------------------")
print(
(
"true_TD: \n{}\n"
"est_GCC: \n{}\n"
"est_Parafit: \n{}\n"
"est_PW-AuxTDE: \n{}\n"
"est_AuxTDE_unitAmp: \n{}\n"
"est_AuxTDE_freqAmp: \n{}\n"
"est_AuxTDE_shrdAmp: \n{}"
).format(
true_TD,
est_gcc,
est_parafit,
est_pw_aux,
est_aux_unit,
est_aux_freq,
est_aux_shrd,
)
)
print("----------------------------")
err_gcc = np.abs(est_gcc - true_TD)
err_parafit = np.abs(est_parafit - true_TD)
err_pw_aux = np.abs(est_pw_aux - true_TD)
err_aux_unit = np.abs(est_aux_unit - true_TD)
err_aux_freq = np.abs(est_aux_freq - true_TD)
err_aux_shrd = np.abs(est_aux_shrd - true_TD)
print(
(
"err_GCC: \n{}\n"
"err_Parafit: \n{}\n"
"err_PW-AuxTDE: \n{}\n"
"err_AuxTDE_unitAmp: \n{}\n"
"err_AuxTDE_freqAmp: \n{}\n"
"err_AuxTDE_shrdAmp: \n{}"
).format(
err_gcc, err_parafit, err_pw_aux, err_aux_unit, err_aux_freq, err_aux_shrd
)
)
print("----------------------------")
rmse_gcc = np.sqrt(np.mean(err_gcc ** 2))
rmse_parafit = np.sqrt(np.mean(err_parafit ** 2))
rmse_pw_aux = np.sqrt(np.mean(err_pw_aux ** 2))
rmse_aux_unit = np.sqrt(np.mean(err_aux_unit ** 2))
rmse_aux_freq = np.sqrt(np.mean(err_aux_freq ** 2))
rmse_aux_shrd = np.sqrt(np.mean(err_aux_shrd ** 2))
print(
(
"RMSE_GCC: {}\n"
"RMSE_Parafit: {}\n"
"RMSE_PW-AuxTDE: {}\n"
"RMSE_AuxTDE_unitAmp: {}\n"
"RMSE_AuxTDE_freqAmp: {}\n"
"RMSE_AuxTDE_shrdAmp: {}"
).format(
rmse_gcc,
rmse_parafit,
rmse_pw_aux,
rmse_aux_unit,
rmse_aux_freq,
rmse_aux_shrd,
)
)