3-D temporal-spatial-based near-field source localization considering amplitude attenuation

A three-dimensional (3-D) localization algorithm for multiple near-field (NF) sources considering amplitude attenuation is proposed in this paper. Firstly, we use the symmetry of the array and the delay autocorrelation of NF signals to construct the virtual received data, whose phase factor is linear with the sensor position. By using the symmetry of amplitude attenuation of the virtual received data, a one-dimensional (1-D) peak search estimator is constructed to obtain the first angle parameter. Then, the estimated result is substituted into another spectral peak search function based on the original data to estimate the range parameter. Finally, a single-snapshot virtual received data set is generated, and the remaining angle parameter is solved by a phase retrieval operation. The proposed algorithm can automatically match the 3-D parameters, and has a stable estimation performance considering amplitude attenuation, as demonstrated by simulation results.