New near-field sources localization algorithm based on parallel factor analysis

A novel joint estimation algorithm for ranges, frequencies and DOAs of multiple near-field narrowband sources is proposed in the near field is proposed. The approach extends the parallel factor (PARAFAC) analysis model from the common data-domain and subspace multiple invariance sensor array (MI-SAP) formulations to the Cumulant one, and forms three-way arrays by using the Cumulant matrices got from array outputs, and analyzes the uniqueness of low-rank decomposition of the three-way arrays, then jointly estimates the ranges, frequencies and DOAs from the matrices via low-rank decomposition. This new method only uses three Cumulant matrices, and doesn't require searching spectral peak or pairing parameters, and is easily implemented. Finally, the simulation results are presented to validate the performance of the proposed method.