Abstract
For tacking and localizing sources in the mobile wireless sensor network, underdetermined direction of arrival (DOA) estimation with high-accuracy is a crucial issue. In this paper, a novel sparse array configuration is developed for accurate DOA estimation from the perspective of sum-difference coarray (SDCA). As compared with most of the existing sparse array configurations, the proposed array can effectively reduce the overlap between difference coarray (DCA) and sum coarray (SCA) and can achieve more consecutive degrees of freedom (DOF), more sources can be resolved accordingly. Additionally, the proposed array has hole-free DCA and SDCA. Then, the concept of coarray redundancy ratio (CRR) is introduced for evaluating the coarray overlap quantitatively and the closed-form CRR expressions of the proposed array are derived in detail. Based on the good properties of the proposed array, vectorized conjugate augmented MUSIC (VCAM) is adopted for underdetermined DOA estimation. The theoretical propositions and numerical simulations demonstrate the superior performance of the proposed array in terms of CRR, consecutive DOF, and DOA estimation accuracy.
Highlights
In the large-scale mobile wireless communication network [1, 2], underdetermined direction of arrival (DOA) estimation [3,4,5,6] with high-accuracy is a key issue to solve for tacking and localizing sources. e optimized array configuration design is a prerequisite for accurate DOA estimation
Toward this end, transformed nested array (NA) (TNA) is designed in [21], which can reduce the overlap between difference coarray (DCA) and sum coarray (SCA) to some extent, but the degree of overlap under different number of array elements is only evaluated via simulations, lacking quantificational analysis
We briefly summarize the contributions of this work as follows: (1) A novel array configuration is proposed to reduce the overlap between DCA and SCA
Summary
In the large-scale mobile wireless communication network [1, 2], underdetermined direction of arrival (DOA) estimation [3,4,5,6] with high-accuracy is a key issue to solve for tacking and localizing sources. e optimized array configuration design is a prerequisite for accurate DOA estimation. Toward this end, transformed NA (TNA) is designed in [21], which can reduce the overlap between DCA and SCA to some extent, but the degree of overlap under different number of array elements is only evaluated via simulations, lacking quantificational analysis To tackle these problems, a novel sparse array configuration with low coarray overlap is proposed in this paper. (1) A novel array configuration is proposed to reduce the overlap between DCA and SCA (2) e proposed array has hole-free DCA and SDCA, which has been proved via theoretical propositions (3) More sources than twice of the number of sensors can be resolved e mathematical notations used throughout this paper are denoted as follows. Conclusions are drawn in Section 5. e proofs of Propositions 1 and 2 are derived in Appendix A and Appendix B
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