cupyx.scipy.signal.bilinear_zpk#

cupyx.scipy.signal.bilinear_zpk(z, p, k, fs)[source]#

Return a digital IIR filter from an analog one using a bilinear transform.

Transform a set of poles and zeros from the analog s-plane to the digital z-plane using Tustin’s method, which substitutes 2*fs*(z-1) / (z+1) for s, maintaining the shape of the frequency response.

Parameters:

  • z (array_like) – Zeros of the analog filter transfer function.

  • p (array_like) – Poles of the analog filter transfer function.

  • k (float) – System gain of the analog filter transfer function.

  • fs (float) – Sample rate, as ordinary frequency (e.g., hertz). No prewarping is done in this function.

Returns:

  • z (ndarray) – Zeros of the transformed digital filter transfer function.

  • p (ndarray) – Poles of the transformed digital filter transfer function.

  • k (float) – System gain of the transformed digital filter.

See also

lp2lp_zpk, lp2hp_zpk, lp2bp_zpk, lp2bs_zpk, bilinear, scipy.signal.bilinear_zpk