Real-Valued 2D MUSIC Algorithm Based on Modified Forward/Backward Averaging Using an Arbitrary Centrosymmetric Polarization Sensitive Array

Two-dimensional multiple signal classification (MUSIC) algorithm based on polarization sensitive array (PSA) has excellent performance. However, it suffers a high computational complexity due to a multitude of complex operations. In this paper, we propose a real-valued two-dimensional MUSIC algorith...

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Published in:	Sensors (Basel, Switzerland) Vol. 17; no. 10; p. 2241
Main Authors:	Si, Weijian, Wang, Yan, Hou, Changbo, Wang, Hong
Format:	Journal Article
Language:	English
Published:	Switzerland MDPI AG 29-09-2017 MDPI
Subjects:	2D DOA estimation Algorithms Complexity Computation Computer simulation Cramer-Rao bound Cramer-Rao bounds dimension reduction Direction of arrival forward/backward averaging MUSIC Parameter estimation polarization sensitive array real-valued operations Search process Two dimensional models MUSIC real-valued operations forward/backward averaging Cramer-Rao bound 2D DOA estimation polarization sensitive array dimension reduction
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Abstract	Two-dimensional multiple signal classification (MUSIC) algorithm based on polarization sensitive array (PSA) has excellent performance. However, it suffers a high computational complexity due to a multitude of complex operations. In this paper, we propose a real-valued two-dimensional MUSIC algorithm based on conjugate centrosymmetric signal model, which is applicable to arbitrary centrosymmetric polarization sensitive array. The modified forward/backward averaging, which can be applied to the PSA, is presented. Hence, the eigen-decomposition analysis process and spectrum function computation are converted into real domain, prominently reducing the computational complexity. Then, the direction-of-arrival (DOA) estimation is decoupled from the polarization parameter estimation so that the four-dimensional spectral peak search process is avoided. The theoretical computational complexity is discussed and the Cramer-Rao bound (CRB) of DOA estimation is derived in this paper. The simulation results indicate that the proposed algorithm achieves superior accuracy in DOA estimation and has low computational complexity.
AbstractList	Two-dimensional multiple signal classification (MUSIC) algorithm based on polarization sensitive array (PSA) has excellent performance. However, it suffers a high computational complexity due to a multitude of complex operations. In this paper, we propose a real-valued two-dimensional MUSIC algorithm based on conjugate centrosymmetric signal model, which is applicable to arbitrary centrosymmetric polarization sensitive array. The modified forward/backward averaging, which can be applied to the PSA, is presented. Hence, the eigen-decomposition analysis process and spectrum function computation are converted into real domain, prominently reducing the computational complexity. Then, the direction-of-arrival (DOA) estimation is decoupled from the polarization parameter estimation so that the four-dimensional spectral peak search process is avoided. The theoretical computational complexity is discussed and the Cramer-Rao bound (CRB) of DOA estimation is derived in this paper. The simulation results indicate that the proposed algorithm achieves superior accuracy in DOA estimation and has low computational complexity.
Author	Si, Weijian Hou, Changbo Wang, Hong Wang, Yan
AuthorAffiliation	2 Beijing Institute of Computer Technology and Application, Beijing 100854, China; wanghong_icta@163.com 1 College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China; swj0418@263.net (W.S.); wangyan17855@hrbeu.edu.cn (Y.W.)
AuthorAffiliation_xml	– name: 2 Beijing Institute of Computer Technology and Application, Beijing 100854, China; wanghong_icta@163.com – name: 1 College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China; swj0418@263.net (W.S.); wangyan17855@hrbeu.edu.cn (Y.W.)
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SubjectTerms	2D DOA estimation Algorithms Complexity Computation Computer simulation Cramer-Rao bound Cramer-Rao bounds dimension reduction Direction of arrival forward/backward averaging MUSIC Parameter estimation polarization sensitive array real-valued operations Search process Two dimensional models
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Title	Real-Valued 2D MUSIC Algorithm Based on Modified Forward/Backward Averaging Using an Arbitrary Centrosymmetric Polarization Sensitive Array
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