Unique Decomposition and a New Model for the Ground Moving Target Indication Problem

Qingna Li (), Li He (), Lijuan Qi () and Robert Wang ()
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Qingna Li: Beijing Institute of Technology
Li He: Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Lijuan Qi: Institute of Software, Chinese Academy of Sciences
Robert Wang: Institute of Electronics, Chinese Academy of Sciences

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 1, No 14, 297-312

Abstract: Abstract In wide-area surveillance radar systems, ground moving target indication is the main task. The underlying mathematical problem is to decompose a complex matrix into a low rank matrix and a structured sparse matrix. In this paper, we show that such decomposition has a unique solution under reasonable assumptions. We propose a phase-based model to fully describe the special sparse structure. An alternating direction method of multipliers is implemented to solve the resulting nonconvex complex matrix problem. Simulation results verify the superior efficiency and the improvement of the new model.

Keywords: Ground moving target indication; Alternating direction method; Surveillance radar system; Robust principal component analysis; 90C30; 90C26; 90C90 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-016-1052-5

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