pyFDN.dss_to_tf

pyFDN.dss_to_tf(delays, A, B, C, D)

From a delay state-space (DSS) system to a transfer function matrix.

No build_to_tf 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) – Delays in samples, shape (N,).

• A (ArrayLike) – Feedback matrix, shape (N, N) or (N, N, order) for polynomial matrix.

• B (ArrayLike) – Input gains, shape (N, num_input).

• C (ArrayLike) – Output gains, shape (num_output, N).

• D (ArrayLike) – Direct gains, shape (num_output, num_input).

Return type:

tuple[ndarray, ndarray]

Returns:

• tfB (ndarray) – Numerator of transfer function matrix, shape (num_output, num_input, order).

• tfA (ndarray) – Denominator polynomial (common), shape (order,) in z^{-1} convention.