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Cramér-Rao Bound for Near-field Source Localization |
BAO Tao① ZHOU Deyun① LI Lixin① HU Chufeng② |
①(School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710129, China)
②(National Key Laboratory of Science and Technology on UAV, Northwestern Polytechnical University, Xi’an 710065, China) |
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Abstract In view of the existing CRB (Cramér-Rao Bound) for near-field single source is based on the uniform linear array, and analyzes less fully the CRB's characteristics and the influence factors of specific. In this paper, non-matrix, closed-form expression of the deterministic CRB for the near-field narrow band model is deduced based on Fisher information matrix, Schur complement and Jacobi transform with non-uniform linear array. The behavior of the performance with respect to some features of interest are discussed, namely, the array geometry, the array aperture, the thinned factor, the target signal frequency and the signal to noise ratio. Through the reasonable array design scheme, the direction and range of the target are both estimated. The Monte-Carlo simulation results validate the effectiveness of the theoretical analysis and the conclusion.
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Received: 15 May 2015
Published: 14 January 2016
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Fund: The National Natural Science Foundation of China (61201320), The Fundamental Research Funds for the Central Universities (3102014JCQ01052), China Postdoctoral Science Foundation (2014M552489), Shanghai Aerospace Science and Technology Innovation Fund (SAST201455) |
Corresponding Authors:
Bao Tao
E-mail: baotao@nwpu.edu.cn
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