sdynpy.signal_processing.sdynpy_frf_inverse.compute_tikhonov_modified_singular_values

compute_tikhonov_modified_singular_values(original_singular_values, regularization_parameter)[source]

Computes the modified singular values that would be seen in Tikhonov regularization. This is only intended for visualization purposes only.

Parameters

original_singular_values (np.ndarray) – The singular values from the oringinal FRF matrix. Should be organized [frequency lines, singular values.]
regularization_parameter (float or np.ndarray) – The regularization parameter that would be used in an inverse via Tikhonov regularization.

Returns

modified_singular_values – The modified singular values from the Tikhonov regularization.

Return type

np.ndarray

Notes

This is not a mathematically rigorous version of the modified singular values and should only be used for subjective evaluation of the effect of the regularization parameter.