Abstract:One of the primary applications of higher order statistics has been for the time delay estimation of non-Gaussian signal in Gaussian spatially correlated noise. This paper studies the time delay estimation of Gaussian signal in the presence of unknown non-Gaussian spatially correlated noise. A hbrid approach for solving this problem is proposed. First, the third-order statistics of the measurements, thus those of the non-Gaussian noises are estimated; then the second-order statistics of the noises are computed by statistics projection; finally, cross-correlation based approaches are used to estimate time delay parameter. Simulation examples are also presented to demonstrate the effectiveness of the new approach.