Three-dimensional Higher-order Compressive Sensing for Raypath Separation in an Acoustic Waveguide

In an acoustic waveguide, the separation of multiple raypaths, especially close raypaths, is a challenging task in the presence of colored noise due to interference in the acoustic field. In this paper, a three-dimensional higher-order compressive sensing method for raypath separation is proposed. The method is applied on an array-to-array experimental configuration where both emitter and reception arrays are used. With the array-to-array configuration, the ray paths are characterized by three parameters including arrival direction, departure direction, and arrival time. Furthermore, the performance of the proposed algorithm is illustrated by simulations and experiments. The numerical results based on simulation illustrate that the proposed method reduces the computational complexity compared to the three-dimensional higher-order raypath separation algorithm, while it achieves the advantage of noise suppression. Moreover, the experimental results validate the detection ability of the proposed algorithm for separating close raypaths.