Covariance differencing-based matrix decomposition for coherent sources localisation in bi-static multiple-input–multiple-output radar

• Published in: IET radar, sonar & navigation Vol. 9; no. 5; pp. 540 - 549
• Main Authors: Hong, Sheng, Wan, Xianrong, Cheng, Feng, Ke, Hengyu
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 01.06.2015
• Subjects: Algorithms; bistatic multiple‐input–multiple‐output radar; Blocking; Coherence; coherent sources localisation; coloured noise problem; combined forward–backward block Toeplitz‐Hankel matrix constructions; computational load; Construction; Covariance; covariance differenced matrix; covariance differencing technique; covariance differencing‐based matrix decomposition algorithm; covariance matrices; Decomposition; directions‐of‐arrival; directions‐of‐departure; direction‐of‐arrival estimation; Hankel matrices; invariance; matrix decomposition; MIMO radar; Noise; Radar; rotational invariance techniques; sensor noise; signal parameters; spatially coloured noise; Toeplitz matrices; unitary estimation; directions-of-arrival; covariance matrices; coherent sources localisation; coloured noise problem; bistatic multiple-input–multiple-output radar; matrix decomposition; Hankel matrices; direction-of-arrival estimation; sensor noise; covariance differencing technique; combined forward–backward block Toeplitz-Hankel matrix constructions; unitary estimation; MIMO radar; spatially coloured noise; computational load; covariance differencing-based matrix decomposition algorithm; covariance differenced matrix; invariance; Toeplitz matrices; signal parameters; directions-of-departure; rotational invariance techniques
• ISSN: 1751-8784; 1751-8792; 1751-8792
• DOI: 10.1049/iet-rsn.2014.0193

In this study, a covariance differencing-based matrix decomposition algorithm is proposed for locating coherent sources under spatially coloured noise in bi-static multiple-input–multiple-output (MIMO) radar. The method contains three steps. First, the covariance differencing technique is employed to eliminate sensor noise, especially the spatially coloured noise. Second, a block Toeplitz or block Hankel matrix is constructed for decorrelation with the covariance differenced matrix. The forward-only, backward-only and combined forward-backward block Toeplitz/Hankel matrix constructions are defined, respectively. Third, unitary estimation of signal parameters by rotational invariance techniques (ESPRIT) algorithm is applied to estimate directions-of-departure (DODs) and directions-of-arrival (DOAs) of sources. The proposed algorithm offers several advantages. First, it is more robust and provides better estimation performance than other methods. Then, the coloured noise problem is overcome in a simple and effective way. Further, the computational load is comparatively low. Simulation results demonstrate the validity of the proposed algorithm.