pyFDN.dss_to_ss#

pyFDN.dss_to_ss(delays, A, b=None, c=None, d=None)[source]#

Convert a delay state-space (DSS) system to standard state-space.

Gives every delay-line sample its own state, so the N x N DSS system becomes a sum(delays) x sum(delays) standard state-space system. No build_to_ss counterpart exists: the result does not depend on fs or an FDNBuild’s filter hooks, so pass build.delays and build.A/B/C/D directly.

Parameters:

delays (ArrayLike) – Delay lengths in samples (min 3 samples).
A (ArrayLike) – Feedback matrix (NxN).
b (ArrayLike | None) – Input gains (Nx1). Defaults to ones(N,1).
c (ArrayLike | None) – Output gains (1xN). Defaults to ones(1,N).
d (ArrayLike | None) – Direct gains (1x1). Defaults to np.ones((1,1)).

Return type:

tuple[ndarray, ndarray, ndarray, ndarray]

Returns:

AA (ndarray) – State-space transition matrix.
bb (ndarray) – State-space input gains.
cc (ndarray) – State-space output gains.
dd (ndarray) – State-space direct gains.