Reconstruction of acoustic fields based on the least squares for short vertical linear array

Abstract

In order to sample the underwater acoustic fields sufficiently the receiver hydrophones array used must cover the entire water column. For short arrays the samples are usually insufficient, so an approach called reconstruction of acoustic fields based on the least squares algorithm for short vertical linear array is proposed. This method decomposes the received fields of short array into depth function matrixes and amplitudes by the normal mode propagation model in the shallow water, then the mode amplitudes are estimated using the least squares in the sense of minimum norm, after that the received fields of shallow water are reconstructed which contain more environmental information. In the end, some computer simulations which use different short vertical linear arrays are processed in the classical Pekeris waveguide. Especially, the mode amplitudes of short arrays estimated by the least squares are compared with the ideal ones, which are the basis of fields reconstruction. The results show that the reconstruced ones with short arrays are much like the fields received with the long array, and the sample deficient problem of short vertical linear array is addressed properly.