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Sensors 2017, 17(4), 702; doi:10.3390/s17040702

Underdetermined DOA Estimation of Quasi-Stationary Signals Using a Partly-Calibrated Array

1
College of Automation, Harbin Engineering University, No. 145 Nantong Street, Harbin 150001, China
2
Depaprtment of Electrical and Computer Engineering, Temple University, Philadelphia, PA 19122, USA
*
Author to whom correspondence should be addressed.
Received: 14 February 2017 / Revised: 23 March 2017 / Accepted: 26 March 2017 / Published: 28 March 2017
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Abstract

Quasi-stationary signals have been widely found in practical applications, which have time-varying second-order statistics while staying static within local time frames. In this paper, we develop a robust direction-of-arrival (DOA) estimation algorithm for quasi-stationary signals based on the Khatri–Rao (KR) subspace approach. A partly-calibrated array is considered, in which some of the sensors have an inaccurate knowledge of the gain and phase. In detail, we first develop a closed-form solution to estimate the unknown sensor gains and phases. The array is then calibrated using the estimated sensor gains and phases which enables the improved DOA estimation. To reduce the computational complexity, we also proposed a reduced-dimensional method for DOA estimation. The exploitation of the KR subspace approach enables the proposed method to achieve a larger number of degrees-of-freedom, i.e., more sources than sensors can be estimated. The unique identification condition for the proposed method is also derived. Simulation results demonstrate the effectiveness of the proposed underdetermined DOA estimation algorithm for quasi-stationary signals. View Full-Text
Keywords: DOA estimation; Khatri–Rao subspace; partly-calibrated array; quasi-stationary signal; underdetermined problem DOA estimation; Khatri–Rao subspace; partly-calibrated array; quasi-stationary signal; underdetermined problem
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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. (CC BY 4.0).

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Wang, B.; Wang, W.; Gu, Y.; Lei, S. Underdetermined DOA Estimation of Quasi-Stationary Signals Using a Partly-Calibrated Array. Sensors 2017, 17, 702.

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