`scipy.signal._filter_design:lp2hp`

source: build-install/usr/lib/python3.14/site-packages/scipy/signal/_filter_design.py:2071

Signature

def lp2hp(b, a, wo = 1.0)

Summary

Transform a lowpass filter prototype to a highpass filter.

Extended Summary

Return an analog high-pass filter with cutoff frequency wo from an analog low-pass filter prototype with unity cutoff frequency, in transfer function ('ba') representation.

Parameters

b : array_like, shape (M,): Numerator polynomial coefficients. Must be 1-D.
a : array_like, shape (N,): Denominator polynomial coefficients. Must be 1-D.
wo : float: Desired cutoff, as angular frequency (e.g., rad/s). Defaults to no change.

Returns

b : array_like: Numerator polynomial coefficients of the transformed high-pass filter.
a : array_like: Denominator polynomial coefficients of the transformed high-pass filter.

Notes

This is derived from the s-plane substitution

s \to \frac{ω _{0}}{s}

This maintains symmetry of the lowpass and highpass responses on a logarithmic scale.

Examples

from scipy import signal
import matplotlib.pyplot as plt

✓

lp = signal.lti([1.0], [1.0, 1.0])
hp = signal.lti(*signal.lp2hp(lp.num, lp.den))
w, mag_lp, p_lp = lp.bode()
w, mag_hp, p_hp = hp.bode(w)

✓

plt.plot(w, mag_lp, label='Lowpass')
plt.plot(w, mag_hp, label='Highpass')
plt.semilogx()

✗

[]

plt.grid(True)

✓

plt.xlabel('Frequency [rad/s]')
plt.ylabel('Amplitude [dB]')
plt.legend()

✗

<matplotlib.legend.Legend object at 0x7f3f68866e40>

Aliases

scipy.signal.lp2hp