A new method for adaptive time delay estimation for non-Gaussian signals

A novel adaptive scheme for time delay estimation is introduced for signal environments where the signal is non-Gaussian and the additive noise sources are spatially correlated Gaussian with unknown power spectrum characteristics. This scheme is based on parametric modeling between two sensor measurements and employs higher-order statistics (third- or fourth-order) of the data. It is demonstrated by means of extensive simulations that this scheme works well for both stationary and nonstationary cases. As expected, it outperforms the cross-correlation-based gradient method for time-delay adaptation in spatially correlated Gaussian noises. The proposed scheme is compared to the overdetermined recursive instrumental variable method and is shown to exhibit substantially less computational complexity