_zpk, bilinear lp2bs Notes ----- This is derived from the s-plane substitution .. math:: s \rightarrow \frac{s \cdot \mathrm{BW}}{s^2 + {\omega_0}^2} This is the "wideband" transformation, producing a stopband with geometric (log frequency) symmetry about `wo`. .. versionadded:: 1.1.0 Examples -------- Transform a low-pass filter represented in 'zpk' (Zero-Pole-Gain) form into a bandstop filter represented in 'zpk' form, with a center frequency wo and bandwidth bw. >>> from scipy.signal import lp2bs_zpk >>> z = [ ] >>> p = [ 0.7 , -1 ] >>> k = 9 >>> wo = 0.5 >>> bw = 10 >>> lp2bs_zpk(z, p, k, wo, bw) ( array([0.+0.5j, 0.+0.5j, 0.-0.5j, 0.-0.5j]), array([14.2681928 +0.j, -0.02506281+0.j, 0.01752149+0.j, -9.97493719+0.j]), -12.857142857142858) rp