cupyx.scipy.signal.cheb1ord#

cupyx.scipy.signal.cheb1ord(wp, ws, gpass, gstop, analog=False, fs=None)[source]#

Chebyshev type I filter order selection.

Return the order of the lowest order digital or analog Chebyshev Type I filter that loses no more than gpass dB in the passband and has at least gstop dB attenuation in the stopband.

Parameters
  • wp (float) –

    Passband and stopband edge frequencies.

    For digital filters, these are in the same units as fs. By default, fs is 2 half-cycles/sample, so these are normalized from 0 to 1, where 1 is the Nyquist frequency. (wp and ws are thus in half-cycles / sample.) For example:

    • Lowpass: wp = 0.2, ws = 0.3

    • Highpass: wp = 0.3, ws = 0.2

    • Bandpass: wp = [0.2, 0.5], ws = [0.1, 0.6]

    • Bandstop: wp = [0.1, 0.6], ws = [0.2, 0.5]

    For analog filters, wp and ws are angular frequencies (e.g., rad/s).

  • ws (float) –

    Passband and stopband edge frequencies.

    For digital filters, these are in the same units as fs. By default, fs is 2 half-cycles/sample, so these are normalized from 0 to 1, where 1 is the Nyquist frequency. (wp and ws are thus in half-cycles / sample.) For example:

    • Lowpass: wp = 0.2, ws = 0.3

    • Highpass: wp = 0.3, ws = 0.2

    • Bandpass: wp = [0.2, 0.5], ws = [0.1, 0.6]

    • Bandstop: wp = [0.1, 0.6], ws = [0.2, 0.5]

    For analog filters, wp and ws are angular frequencies (e.g., rad/s).

  • gpass (float) – The maximum loss in the passband (dB).

  • gstop (float) – The minimum attenuation in the stopband (dB).

  • analog (bool, optional) – When True, return an analog filter, otherwise a digital filter is returned.

  • fs (float, optional) – The sampling frequency of the digital system.

Returns

  • ord (int) – The lowest order for a Chebyshev type I filter that meets specs.

  • wn (ndarray or float) – The Chebyshev natural frequency (the “3dB frequency”) for use with cheby1 to give filter results. If fs is specified, this is in the same units, and fs must also be passed to cheby1.

See also

scipy.signal.cheb1ord

cheby1

Filter design using order and critical points

buttord

Find order and critical points from passband and stopband spec

cheb2ord, ellipord

iirfilter

General filter design using order and critical frequencies

iirdesign

General filter design using passband and stopband spec