A Fast Gridless Sparse Method for Robust DOA Estimation in the Presence of Gain-phase Errors

Authors

  • Wencan Peng School of Electronics and Information, Northwestern Polytechnical University, Xi’an, 710129, China
  • Chenjiang Guo School of Electronics and Information, Northwestern Polytechnical University, Xi’an, 710129, China
  • Min Wang National Lab of Radar Signal Processing, Xidian University, Xi’an, 710071, China
  • Yuteng Gao School of Electronics and Information, Northwestern Polytechnical University, Xi’an, 710129, China
  • Xia Zhao School of Electronics and Information, Northwestern Polytechnical University, Xi’an, 710129, China

Keywords:

Direction of arrival, gain and phase errors, gridless sparse method, semidefinite programming

Abstract

A new gridless sparse method (GLSM) is proposed to estimate the direction of arrival (DOA) and gain-phase errors simultaneously for a uniform linear array (ULA). We convert angular space to frequency space and establish a data model in the frequency domain. First, the cost function based on the covariance fitting criterion is transformed into a semidefinite programming (SDP) problem to estimate DOA and noise variance without previous calibration information. Second, gain errors are calculated by the estimated noise variance and the covariance matrix. Third, phase errors are obtained by decomposition of the covariance matrix, which has been pre-processed by a space smoothing technique. Finally, DOA estimation is improved further after the array errors are fully calibrated. Compared with traditional methods, the proposed method is robust to correlations of signal sources, and parameters are estimated without joint iteration. Moreover, there is no need for discrete grid points in the angular space, which results in grid mismatches and computation loads, so the proposed method is more accurate and faster. Simulation results verify the effectiveness of the proposed method.

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Published

2019-12-01

How to Cite

[1]
Wencan Peng, Chenjiang Guo, Min Wang, Yuteng Gao, and Xia Zhao, “A Fast Gridless Sparse Method for Robust DOA Estimation in the Presence of Gain-phase Errors”, ACES Journal, vol. 34, no. 12, pp. 1788–1796, Dec. 2019.

Issue

2019: Vol 34 Iss 12

Section

Articles