scipy.signal.lp2bp_zpk¶
- scipy.signal.lp2bp_zpk(z, p, k, 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, using zeros, poles, and gain (‘zpk’) representation.
- Parameters
- zarray_like
Zeros of the analog filter transfer function.
- parray_like
Poles of the analog filter transfer function.
- kfloat
System gain of the analog filter transfer function.
- wofloat
Desired passband center, as angular frequency (e.g., rad/s). Defaults to no change.
- bwfloat
Desired passband width, as angular frequency (e.g., rad/s). Defaults to 1.
- Returns
- zndarray
Zeros of the transformed band-pass filter transfer function.
- pndarray
Poles of the transformed band-pass filter transfer function.
- kfloat
System gain of the transformed band-pass filter.
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.
New in version 1.1.0.