pyFDN.pole_boundaries#
- pyFDN.pole_boundaries(delays, absorption, feedback_matrix, fs, nfft=4096)[source]#
Upper and lower bounds of the pole magnitudes of an FDN loop.
Combines the singular values of the feedback matrix with the magnitude and group delay of the per-line absorption filters.
- Parameters:
delays (
ArrayLike) – Delays in samples, shape(N,).absorption (
ArrayLike) – Per-line absorption as an SOS bank of shape(sections, 6, N), the format of anFDNBuild’spost_delay.feedback_matrix (
ArrayLike) –(N, N)or FIR(N, N, L)in the z^{-1} convention.fs (
float) – Sampling frequency in Hz.nfft (
int) – Number of frequency bins between 0 and Nyquist.
- Returns:
Lower bound of the pole magnitude, shape
(nfft,). max_curve: Upper bound of the pole magnitude, shape(nfft,). f: Frequency points in Hz, shape(nfft,).- Return type: