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

Author(s): LIU Jianguo; ZHU Lingxiao; YAN Shenggang;

Affiliation(s): School of Marine Science and Technology, Northwestern Polytechnical University

Abstract: The space-time coupling characteristic of reverberation is one of key problems in the range of reverberation suppression with space-time processing methods. Traditional methods are not based on statistical characteristics of reverberation and not suitable to analyze the space-time coupling characteristics of reverberation in dealing with problems of reverberation extensions in the actual sea environment and non-ideal arrays. The space-time coupling relationship of moving platforms is deduced and then its space-time coupling statistical model is presented. The model describes the space-time coupling law of reverberation under the conditions as complex acoustic reverberation environments and an arbitrarily specified array. The mathematical expressions of space-time coupling relationship are described when the arrays have ideal narrow beams. The space-time distribution laws of reverberation from moving platforms are shown clearly by the analytical results and computer simulations, which validates the statistical model above. The space-time distribution law of reverberation from a uniform linear array (ULA), which is a non-ideal array, is also calculated by numerical methods. It is shown that the space-time distribution law of reverberation from any actual array can be acquired with the statistical model, and to support theoretically for reverberation suppression algorithms and systems design based on space-time processing.