def main(): Ns = 44100*400 #44100*60*3 #3000000 print("Loading data") # load data #fname = 'sandbox/test_cpea_20120602_part3.wav' # delay = 45.2 ms = 1993 samples (from Friture cross-correlation measurements) fname = 'sandbox/gary_moore_separate_chambre.wav' #fname = 'sandbox/gary_moore_loner_chambre.wav' #fname = 'sandbox/test_cpea_20120602.wav' #data, fs, enc = wavread(fname) SAMPLING_RATE, data = wavfile.read(fname) print(data.shape, data.dtype) data = data.astype(np.float64) # convert from integer to floats for computations ht = None #data = data[:Ns,:] data /= 2**16 #data = data[::-1,:] # original signal x = data[:Ns,0] # measured signal m = data[:Ns,1] print("Data loaded") # We will decimate several times # no decimation => 1/fs = 23 µs resolution # 1 ms resolution => fs = 1000 Hz is enough => can divide the sampling rate by 44 ! # if I decimate 2 times (2**2 = 4 => 0.092 ms (3 cm) resolution)! # if I decimate 3 times (2**3 = 8 => 0.184 ms (6 cm) resolution)! # if I decimate 4 times (2**4 = 16 => 0.368 ms (12 cm) resolution)! # if I decimate 5 times (2**5 = 32 => 0.7 ms (24 cm) resolution)! # (actually, I could fit a gaussian on the cross-correlation peak to get # higher resolution even at low sample rates) Ndec = 2 subsampled_sampling_rate = SAMPLING_RATE/2**(Ndec) [bdec, adec] = generated_filters.params['dec'] zfs0 = subsampler_filtic(Ndec, bdec, adec) zfs1 = subsampler_filtic(Ndec, bdec, adec) delayrange_s = DEFAULT_DELAYRANGE # confidence range # separate the channels x0 = x x1 = m #subsample them print("subsampling x0") x0_dec, zfs0 = subsampler(Ndec, bdec, adec, x0, zfs0) print("subsampling x1") x1_dec, zfs1 = subsampler(Ndec, bdec, adec, x1, zfs1) time = 2*delayrange_s length = time*subsampled_sampling_rate Ns_dec = Ns/2**(Ndec) overlap = 0.5 Nb = int((1./overlap)*(Ns_dec/length - 1)) old_Xcorr = np.zeros((length), np.complex128) print("time =", time) print("length =", length) print("Ns_dec = ", Ns_dec) print("Nb =", Nb) # Hann window to mitigate non-periodicity effects window = numpy.hanning(length) #l2 = length/2 + 1 # Hann window to mitigate non-periodicity effects #window2 = numpy.hanning(l2) #f1 = plt.figure() #plt1 = f1.add_subplot(1,1,1) #f2 = plt.figure() #plt2 = f2.add_subplot(1,1,1) for i in range(Nb): print(i) # retrieve last one-second of data d0 = x0_dec[i*length*overlap:i*length*overlap + length] d1 = x1_dec[i*length*overlap:i*length*overlap + length] std0 = numpy.std(d0) std1 = numpy.std(d1) if std0>0. and std1>0.: Xcorr = generalized_cross_correlation(d0, d1) #plt1.plot(Xcorr) #plt.figure() #plt.plot(Xcorr) #plt.draw() if old_Xcorr != None and old_Xcorr.shape == Xcorr.shape: # smoothing alpha = 0.3 smoothed_Xcorr = alpha*Xcorr + (1. - alpha)*old_Xcorr else: smoothed_Xcorr = Xcorr #plt2.plot(Xcorr) #plt.draw() absXcorr = numpy.abs(smoothed_Xcorr) ind = argmax(absXcorr) #h2_ = fft(absXcorr**2) #N = len(h2_) #h2_[N/50:-N/50] = 0. #h2 = ifft(h2_) #ind = argmax(h2) #plt.figure() #plt.plot(Xcorr) #plt.plot(absXcorr) #plt.draw() # normalize #Xcorr_max_norm = Xcorr_unweighted[ind]/(d0.size*std0*std1) Xcorr_extremum = smoothed_Xcorr[ind] Xcorr_max_norm = abs(smoothed_Xcorr[ind])/(3*numpy.std(smoothed_Xcorr)) delay_ms = 1e3*float(ind)/subsampled_sampling_rate # delays larger than the half of the window most likely are actually negative if delay_ms > 1e3*time/2.: delay_ms -= 1e3*time # store for smoothing old_Xcorr = smoothed_Xcorr else: delay_ms = 0. Xcorr_max_norm = 0. Xcorr_extremum = 0. # debug wrong phase detection #if Xcorr_extremum < 0.: # numpy.save("Xcorr.npy", Xcorr) # numpy.save("smoothed_Xcorr.npy", smoothed_Xcorr) c = 340. # speed of sound, in meters per second (approximate) distance_m = delay_ms*1e-3*c # home-made measure of the significance slope = 0.12 p = 3 x = (Xcorr_max_norm>1.)*(Xcorr_max_norm-1.) x = (slope*x)**p correlation = int((x/(1. + x))*100) delay_message = "%.1f ms = %.2f m" %(delay_ms, distance_m) correlation_message = "%d%%" %(correlation) if Xcorr_extremum >= 0: polarity_message = "In-phase" else: polarity_message = "Reversed phase" print(ind, delay_message, correlation_message, polarity_message) plt.show()
y = np.cos(2.*np.pi*f*t) Ndec = 2 subsampled_sampling_rate = SAMPLING_RATE/2**(Ndec) [bdec, adec] = generated_filters.PARAMS['dec'] zfs0 = subsampler_filtic(Ndec, bdec, adec) Nb = 10 l = int(Ns/Nb) Nb0 = Nb/2 print("Nb0 =", Nb0, "Nb1 =", Nb - Nb0) print("subsample first parts") for i in range(Nb0): ydec, zfs0 = subsampler(Ndec, bdec, adec, y[i*l:(i+1)*l], zfs0) if i == 0: y_dec = ydec else: y_dec = np.append(y_dec, ydec) print("push an empty array to the subsampler", y[i*l:i*l].shape, y[i*l:i*l].size) ydec, zfs0 = subsampler(Ndec, bdec, adec, y[i*l:i*l], zfs0) y_dec = np.append(y_dec, ydec) print("subsample last parts") for i in range(Nb0, Nb): ydec, zfs0 = subsampler(Ndec, bdec, adec, y[i*l:(i+1)*l], zfs0) y_dec = np.append(y_dec, ydec) print("plot")
def main(): Ns = 44100 * 400 #44100*60*3 #3000000 print("Loading data") # load data #fname = 'sandbox/test_cpea_20120602_part3.wav' # delay = 45.2 ms = 1993 samples (from Friture cross-correlation measurements) fname = 'sandbox/gary_moore_separate_chambre.wav' #fname = 'sandbox/gary_moore_loner_chambre.wav' #fname = 'sandbox/test_cpea_20120602.wav' #data, fs, enc = wavread(fname) SAMPLING_RATE, data = wavfile.read(fname) print(data.shape, data.dtype) data = data.astype( np.float64) # convert from integer to floats for computations ht = None #data = data[:Ns,:] data /= 2**16 #data = data[::-1,:] # original signal x = data[:Ns, 0] # measured signal m = data[:Ns, 1] print("Data loaded") # We will decimate several times # no decimation => 1/fs = 23 µs resolution # 1 ms resolution => fs = 1000 Hz is enough => can divide the sampling rate by 44 ! # if I decimate 2 times (2**2 = 4 => 0.092 ms (3 cm) resolution)! # if I decimate 3 times (2**3 = 8 => 0.184 ms (6 cm) resolution)! # if I decimate 4 times (2**4 = 16 => 0.368 ms (12 cm) resolution)! # if I decimate 5 times (2**5 = 32 => 0.7 ms (24 cm) resolution)! # (actually, I could fit a gaussian on the cross-correlation peak to get # higher resolution even at low sample rates) Ndec = 2 subsampled_sampling_rate = SAMPLING_RATE / 2**(Ndec) [bdec, adec] = generated_filters.params['dec'] zfs0 = subsampler_filtic(Ndec, bdec, adec) zfs1 = subsampler_filtic(Ndec, bdec, adec) delayrange_s = DEFAULT_DELAYRANGE # confidence range # separate the channels x0 = x x1 = m #subsample them print("subsampling x0") x0_dec, zfs0 = subsampler(Ndec, bdec, adec, x0, zfs0) print("subsampling x1") x1_dec, zfs1 = subsampler(Ndec, bdec, adec, x1, zfs1) time = 2 * delayrange_s length = time * subsampled_sampling_rate Ns_dec = Ns / 2**(Ndec) overlap = 0.5 Nb = int((1. / overlap) * (Ns_dec / length - 1)) old_Xcorr = np.zeros((length), np.complex128) print("time =", time) print("length =", length) print("Ns_dec = ", Ns_dec) print("Nb =", Nb) # Hann window to mitigate non-periodicity effects window = numpy.hanning(length) #l2 = length/2 + 1 # Hann window to mitigate non-periodicity effects #window2 = numpy.hanning(l2) #f1 = plt.figure() #plt1 = f1.add_subplot(1,1,1) #f2 = plt.figure() #plt2 = f2.add_subplot(1,1,1) for i in range(Nb): print(i) # retrieve last one-second of data d0 = x0_dec[i * length * overlap:i * length * overlap + length] d1 = x1_dec[i * length * overlap:i * length * overlap + length] std0 = numpy.std(d0) std1 = numpy.std(d1) if std0 > 0. and std1 > 0.: Xcorr = generalized_cross_correlation(d0, d1) #plt1.plot(Xcorr) #plt.figure() #plt.plot(Xcorr) #plt.draw() if old_Xcorr != None and old_Xcorr.shape == Xcorr.shape: # smoothing alpha = 0.3 smoothed_Xcorr = alpha * Xcorr + (1. - alpha) * old_Xcorr else: smoothed_Xcorr = Xcorr #plt2.plot(Xcorr) #plt.draw() absXcorr = numpy.abs(smoothed_Xcorr) ind = argmax(absXcorr) #h2_ = fft(absXcorr**2) #N = len(h2_) #h2_[N/50:-N/50] = 0. #h2 = ifft(h2_) #ind = argmax(h2) #plt.figure() #plt.plot(Xcorr) #plt.plot(absXcorr) #plt.draw() # normalize #Xcorr_max_norm = Xcorr_unweighted[ind]/(d0.size*std0*std1) Xcorr_extremum = smoothed_Xcorr[ind] Xcorr_max_norm = abs( smoothed_Xcorr[ind]) / (3 * numpy.std(smoothed_Xcorr)) delay_ms = 1e3 * float(ind) / subsampled_sampling_rate # delays larger than the half of the window most likely are actually negative if delay_ms > 1e3 * time / 2.: delay_ms -= 1e3 * time # store for smoothing old_Xcorr = smoothed_Xcorr else: delay_ms = 0. Xcorr_max_norm = 0. Xcorr_extremum = 0. # debug wrong phase detection #if Xcorr_extremum < 0.: # numpy.save("Xcorr.npy", Xcorr) # numpy.save("smoothed_Xcorr.npy", smoothed_Xcorr) c = 340. # speed of sound, in meters per second (approximate) distance_m = delay_ms * 1e-3 * c # home-made measure of the significance slope = 0.12 p = 3 x = (Xcorr_max_norm > 1.) * (Xcorr_max_norm - 1.) x = (slope * x)**p correlation = int((x / (1. + x)) * 100) delay_message = "%.1f ms = %.2f m" % (delay_ms, distance_m) correlation_message = "%d%%" % (correlation) if Xcorr_extremum >= 0: polarity_message = "In-phase" else: polarity_message = "Reversed phase" print(ind, delay_message, correlation_message, polarity_message) plt.show()