Joint 2D-DOD and 2D-DOA Estimation in Bistatic MIMO Radar via Tensor Ring Decomposition

Abstract

In this letter, tensor ring decomposition (TRD) was proposed to estimate the two-dimensional direction-of-departure (2D-DOD) and two-dimensional direction-of-arrival (2D-DOA) in bistatic multiple-input multiple-output (MIMO) radar with uniform planar array structure. The advantages of TRD lie in its ability to flexibly establish a connection between adjacent two factors in a higher order tensor. To effectively utilize TRD, it is necessary to have a high-order tensor with real-value factors. Initially, an eight-dimensional (8D) tensor was derived through the delay cross-covariance tensor. Then, by employing tensor permutation and the generalized tensorization of the 8D tensor, a four-dimensional (4D) tensor with factor matrices containing the difference coarray of transmit and receive arrays was obtained. Subsequently, four unitary matrices were applied to perform real valued processing on the constructed 4D tensor factor matrix. The TRSVD algorithm was then used to estimate the three-dimensional (3D) TR core tensors of the 4D real-valued tensor. Finally, the 2D-DOD and 2D-DOA were successfully estimated by utilizing the obtained 3D sub-tensors. Simulation results demonstrate the effectiveness of the proposed algorithm

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