cupyx.scipy.signal.lp2bp#

cupyx.scipy.signal.lp2bp(b, a, wo=1.0, bw=1.0)[source]#

Transform a lowpass filter prototype to a bandpass filter.

Return an analog band-pass filter with center frequency wo and bandwidth bw from an analog low-pass filter prototype with unity cutoff frequency, in transfer function (‘ba’) representation.

Parameters:

  • b (array_like) – Numerator polynomial coefficients.

  • a (array_like) – Denominator polynomial coefficients.

  • wo (float) – Desired passband center, as angular frequency (e.g., rad/s). Defaults to no change.

  • bw (float) – Desired passband width, as angular frequency (e.g., rad/s). Defaults to 1.

Returns:

  • b (array_like) – Numerator polynomial coefficients of the transformed band-pass filter.

  • a (array_like) – Denominator polynomial coefficients of the transformed band-pass filter.

See also

lp2lp, lp2hp, lp2bs, bilinear, lp2bp_zpk, scipy.signal.lp2bp

Notes

This is derived from the s-plane substitution

\[s \rightarrow \frac{s^2 + {\omega_0}^2}{s \cdot \mathrm{BW}}\]

This is the “wideband” transformation, producing a passband with geometric (log frequency) symmetry about wo.