Nonparametric regularized time delay estimation

A novel nonparametric estimator, which we call the regularized time delay estimator (RTDE), is introduced for the time delay estimation problem in MISO (multiple input-single output) linear systems. This estimator decouples the input-output signals in the frequency domain using a regularized Wiener-Hopf filter. An RLS (regularized least squares) problem is formulated based on the coherence spectrum in order to find the optimal filter that can decouple the signals. Then, the corresponding delayed impulse responses of the system are computed. As a result, the time delay between the several input-output signals can be estimated.