Joint DOD and DOA estimation using tensor reconstruction based sparse representation approach for bistatic MIMO radar with unknown noise effect

• Published in: Signal processing 2021-05, Vol.182, p.107912, Article 107912
• Main Authors: Baidoo, Evans, Hu, Jurong, Zeng, Bao, Kwakye, Benjamin Danso
• Format: Article
• Language: English
• Subjects: Bistatic MIMO radar; Circular shift; Compressed sensing; Joint DOD/DOA estimation; Sparse subspace representation; Toeplitz noise
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2020.107912

•Tensor based Hermitian differencing method is robust to colored noise modelling.•TR-SOMP and TR-SBL resolve angle estimation problem without the need for large measurement samples.•The reverse two successive 1D SOMP and SBL methods are computationally efficient than the traditional 2D SOMP and SBL methods. Achieving a fair balance between accuracy and computational complexity of limited measurement signals by algorithms for the bistatic multiple-input multiple-output (MIMO) radar under unknown noise effect has been a seemingly difficult task for most covariance methods. In this paper, the aim is to present an efficient method to achieve an improved estimation of the joint direction of departure (DOD) and direction of arrival (DOA) for the bistatic MIMO radar with an unknown ‘Toeplitz’ colored noise effect. First, by taking advantage of the static property of the noise effect, a tensor reconstruction-based imaginary Hermitian matrix is developed to eliminate the unknown noise effect. Then the 2D angle estimation problem is then reduced to a 1D sparse recovery problem where the target sparsity is exploited. Further, we formulate a reverse 1D pairwise Simultaneous Orthogonal Matching Pursuit and sparse Bayesian learning algorithms to reconstruct the sparse signal and estimate the joint DOD-DOA of the target. In contrast with the existing tensor-based methods, the proposed approach not only is robust to the influence of Toeplitz colored noise, resolves targets with limited measurement data but also ensures superior performance with lower computational complexity. Numerical simulation conducted under varying conditions verifies the effectiveness of the proposed approach. [Display omitted]