lp2bp(b, a, wo=1.0, bw=1.0)
Return an analog band-pass filter with center frequency wo and bandwidth bw from an analog low-pass filter prototype with unity cutoff frequency, in transfer function ('ba') representation.
This is derived from the s-plane substitution
This is the "wideband" transformation, producing a passband with geometric (log frequency) symmetry about wo.
Numerator polynomial coefficients.
Denominator polynomial coefficients.
Desired passband center, as angular frequency (e.g., rad/s). Defaults to no change.
Desired passband width, as angular frequency (e.g., rad/s). Defaults to 1.
Numerator polynomial coefficients of the transformed band-pass filter.
Denominator polynomial coefficients of the transformed band-pass filter.
Transform a lowpass filter prototype to a bandpass filter.
from scipy import signal
import matplotlib.pyplot as plt
lp = signal.lti([1.0], [1.0, 1.0])
bp = signal.lti(*signal.lp2bp(lp.num, lp.den))
w, mag_lp, p_lp = lp.bode()
w, mag_bp, p_bp = bp.bode(w)
plt.plot(w, mag_lp, label='Lowpass')
plt.plot(w, mag_bp, label='Bandpass')
plt.semilogx()
plt.grid(True)
plt.xlabel('Frequency [rad/s]')
plt.ylabel('Magnitude [dB]')
plt.legend()
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