Holographic signal processing for estimation of sound source direction by a vector receiver in shallow water

Abstract

A holographic signal processing method for estimation of sound source direction of broadband moving sound source is proposed in the paper. The holographic estimation of sound source direction is based on signal processing of single vector receiver (VR) channels: x-th and y-th components of the oscillatory velocity. The sound field of a moving sound source creates a stable interference pattern of the intensity distribution (interferogram) in the frequency-time domain on VR channels. The two-dimensional Fourier transformation (2D-FT) is applied to analyze the channels interferograms. The result of the 2D-FT are holograms of the x-th and y-th oscillatory velocity components. The angle distributions of channels holograms are calculated. The offered holographic method is based on the ratio of the absolute values of the holograms angle distributions maxima. The expressions for VR channels holograms are derived. The results of the numerical experiment for source direction reconstruction are presented. A significant advantage of the proposed holographic method that there is no need for information about noise signal source, the additive noise obstacle and waveguide transfer function. [This study was supported by Russian Science Foundation grant no. 22-79-10233. Tkachenko’s numerical experiment was supported by grant no. МК-4846.2022.4.]