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2D-DOA Estimation for Coherent Signals via a Polarized Uniform Rectangular Array

Zhang, Zhe; Wen, Fangqing*; Shi, Junpeng; He, Jin; Truong, Trieu-Kien
Science Citation Index Expanded
上海交通大学

摘要

This letter aims to estimate the 2-D direction-of-arrival (DOA) using a polarized uniform rectangular array (URA) under multipath propagation. To leverage the tensorial nature, a parallel factor (PARAFAC) model is established, in which it comprises two spatial response matrices, the polarization response matrix, and the source matrix. Unfortunately, the source matrix exhibits rank-deficiency, hindering effectively PARAFAC decomposition. Our analysis reveals that the rank-deficiency can be easily resolved by taking the KhatriRao product with a full column rank factor matrix. Consequently, three rearranged PARAFAC tensors are obtained that are free of the source matrix's rank-deficiency. The estimation of 2D-DOA is then performed using the vector cross product-auxiliary rotational invariance technique (VCPARIT). The proposed algorithms are insensitive to inter-sensor distance and are suitable for a one-snapshot scenario. Furthermore, they outperform existing smoothing methods from the perspective of estimation accuracy. Theoretical advantages of the proposed algorithms are corroborated by the simulations.

关键词

Sensor arrays Estimation Matrix decomposition Transmission line matrix methods Sensors Smoothing methods Tensors 2D-DOA polarized sensor array coherent sources parallel factor analysis