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Mathematical Problems in Engineering
Volume 2015, Article ID 969042, 11 pages
http://dx.doi.org/10.1155/2015/969042
Research Article

CC-MUSIC: An Optimization Estimator for Mutual Coupling Correction of L-Shaped Nonuniform Array with Single Snapshot

1School of Electronics and Information Engineering, Harbin Institute of Technology, 92 West Dazhi Street, Nangang, Harbin 150001, China
2Institute of Engineering Mechanics, China Earthquake Administration, No. 29 Xuefu Road, Nangang, Harbin 150080, China

Received 2 September 2014; Revised 6 February 2015; Accepted 6 February 2015

Academic Editor: Massimo Scalia

Copyright © 2015 Yuguan Hou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

For the case of the single snapshot, the integrated SNR gain could not be obtained without the multiple snapshots, which degrades the mutual coupling correction performance under the lower SNR case. In this paper, a Convex Chain MUSIC (CC-MUSIC) algorithm is proposed for the mutual coupling correction of the L-shaped nonuniform array with single snapshot. It is an online self-calibration algorithm and does not require the prior knowledge of the correction matrix initialization and the calibration source with the known position. An optimization for the approximation between the no mutual coupling covariance matrix without the interpolated transformation and the covariance matrix with the mutual coupling and the interpolated transformation is derived. A global optimization problem is formed for the mutual coupling correction and the spatial spectrum estimation. Furthermore, the nonconvex optimization problem of this global optimization is transformed as a chain of the convex optimization, which is basically an alternating optimization routine. The simulation results demonstrate the effectiveness of the proposed method, which improve the resolution ability and the estimation accuracy of the multisources with the single snapshot.