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lp2bp_zpk(z, p, k, wo=1.0, bw=1.0)

Return an analog band-pass filter with center frequency :None:None:`wo` and bandwidth :None:None:`bw` from an analog low-pass filter prototype with unity cutoff frequency, using zeros, poles, and gain ('zpk') representation.

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 :None:None:`wo`.

versionadded

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.

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

z : ndarray

Zeros of the transformed band-pass filter transfer function.

p : ndarray

Poles of the transformed band-pass filter transfer function.

k : float

System gain of the transformed band-pass filter.

Transform a lowpass filter prototype to a bandpass filter.

See Also

bilinear
lp2bp
lp2bs_zpk
lp2hp_zpk
lp2lp_zpk

Examples

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.signal._filter_design.lp2hp_zpk scipy.signal._filter_design.lp2bs_zpk scipy.signal._filter_design.lp2bp scipy.signal._filter_design.bilinear_zpk scipy.signal._filter_design.lp2lp_zpk

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GitHub : /scipy/signal/_filter_design.py#2776
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