The space-time coupling statistical model of reverberation from moving platforms

The space-time coupling characteristic of reverberation is a key problem in reverberation suppression with space-time processing methods. Traditional methods are not based on the statistical characteristic of reverberation. Facing the problems as actual sea reverberation extension, sea reverberation environment influence and non-ideal arrays, they aren't suitable to analyze the space-time coupling characteristics of reverberation. Based on the statistical model of reverberation from moving platforms, the space-time coupling relationship is deduced, and then the space-time coupling statistical model is presented. It describes the space-time coupling law of reverberation, under the conditions as complex acoustic reverberation environments and an arbitrarily specified array. As for ideal arrays with narrow-beams, the mathematical expressions of space-time coupling relationship are given by using of the space-time coupling statistical model above. The space-time distribution laws of their reverberation are shown clearly by the analytical results and computer simulations, and then the validity of the statistical model is proven. The space-time distribution law of reverberation from a uniform linear array, which is a nonideal array, is also calculated. It is shown that the space-time distribution law of reverberation from any actual array can be acquired with the statistical model. Theoretical supports for the suppression algorithms of space-time reverberations and their systems design are presented.