Module « scipy.signal »

Fonction lp2bp_zpk - module scipy.signal

Signature de la fonction lp2bp_zpk

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

Description

lp2bp_zpk.__doc__

    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
    ----------
    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.

    See Also
    --------
    lp2lp_zpk, lp2hp_zpk, lp2bs_zpk, bilinear
    lp2bp

    Notes
    -----
    This is derived from the s-plane substitution

    .. math:: 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`.

    .. versionadded:: 1.1.0