AR model whitening and signal detection based on GLD algorithm in the non-Gaussian reverberation

The paper analyzes the characteristics of shallow sea reverberation such as divergent variance and heavy tails in probability density distribution and matches it to symmetric alpha stable (SαS) distribution. After analyzing the AR model whitening method based on Gaussian distribution and Levinson–Durbin algorithm, the paper proposes and derives the generalized Levinson–Durbin (GLD) algorithm based on covariation theory of alpha stable distribution. The GLD algorithm can estimate the order and parameters of AR SαS model by iterations which are fast and effective in calculating, and then the performance tests by simulations are given. The AR model whitening method using GLD algorithm has a faster speed and a better detection performance than AR Gaussian whitening method in impulsive reverberation. At last the Monte Carlo simulating tests are used to validate the validity of the new method.