s ------ ValueError If `w0` is less than or equal to 0 or greater than or equal to ``fs/2``, if `fs` is not divisible by `w0`, if `ftype` is not 'notch' or 'peak' See Also -------- iirnotch iirpeak Notes ----- For implementation details, see [1]_. The TF implementation of the comb filter is numerically stable even at higher orders due to the use of a single repeated pole, which won't suffer from precision loss. References ---------- .. [1] Sophocles J. Orfanidis, "Introduction To Signal Processing", Prentice-Hall, 1996, ch. 11, "Digital Filter Design" Examples -------- Design and plot notching comb filter at 20 Hz for a signal sampled at 200 Hz, using quality factor Q = 30 >>> from scipy import signal >>> import matplotlib.pyplot as plt >>> import numpy as np >>> fs = 200.0 # Sample frequency (Hz) >>> f0 = 20.0 # Frequency to be removed from signal (Hz) >>> Q = 30.0 # Quality factor >>> # Design notching comb filter >>> b, a = signal.iircomb(f0, Q, ftype='notch', fs=fs) >>> # Frequency response >>> freq, h = signal.freqz(b, a, fs=fs) >>> response = abs(h) >>> # To avoid divide by zero when graphing >>> response[response == 0] = 1e-20 >>> # Plot >>> fig, ax = plt.subplots(2, 1, figsize=(8, 6), sharex=True) >>> ax[0].plot(freq, 20*np.log10(abs(response)), color='blue') >>> ax[0].set_title("Frequency Response") >>> ax[0].set_ylabel("Amplitude [dB]", color='blue') >>> ax[0].set_xlim([0, 100]) >>> ax[0].set_ylim([-30, 10]) >>> ax[0].grid(True) >>> ax[1].plot(freq, (np.angle(h)*180/np.pi+180)%360 - 180, color='green') >>> ax[1].set_ylabel("Phase [deg]", color='green') >>> ax[1].set_xlabel("Frequency [Hz]") >>> ax[1].set_xlim([0, 100]) >>> ax[1].set_yticks([-90, -60, -30, 0, 30, 60, 90]) >>> ax[1].set_ylim([-90, 90]) >>> ax[1].grid(True) >>> plt.show() Design and plot peaking comb filter at 250 Hz for a signal sampled at 1000 Hz, using quality factor Q = 30 >>> fs = 1000.0 # Sample frequency (Hz) >>> f0 = 250.0 # Frequency to be retained (Hz) >>> Q = 30.0 # Quality factor >>> # Design peaking filter >>> b, a = signal.iircomb(f0, Q, ftype='peak', fs=fs, pass_zero=True) >>> # Frequency response >>> freq, h = signal.freqz(b, a, fs=fs) >>> response = abs(h) >>> # To avoid divide by zero when graphing >>> response[response == 0] = 1e-20 >>> # Plot >>> fig, ax = plt.subplots(2, 1, figsize=(8, 6), sharex=True) >>> ax[0].plot(freq, 20*np.log10(np.maximum(abs(h), 1e-5)), color='blue') >>> ax[0].set_title("Frequency Response") >>> ax[0].set_ylabel("Amplitude [dB]", color='blue') >>> ax[0].set_xlim([0, 500]) >>> ax[0].set_ylim([-80, 10]) >>> ax[0].grid(True) >>> ax[1].plot(freq, (np.angle(h)*180/np.pi+180)%360 - 180, color='green') >>> ax[1].set_ylabel("Phase [deg]", color='green') >>> ax[1].set_xlabel("Frequency [Hz]") >>> ax[1].set_xlim([0, 500]) >>> ax[1].set_yticks([-90, -60, -30, 0, 30, 60, 90]) >>> ax[1].set_ylim([-90, 90]) >>> ax[1].grid(True) >>> plt.show() Fr–