Abstract

A fast direction of arrival (DOA) estimation method using a real-valued cross-correlation matrix (CCM) of coprime subarrays is proposed. Firstly, real-valued CCM with extended aperture is constructed to obtain the signal subspaces corresponding to the two subarrays. By analysing the relationship between the two subspaces, DOA estimations from the two subarrays are simultaneously obtained with automatic pairing. Finally, unique DOA is determined based on the common results from the two subarrays. Compared to partial spectral search (PSS) method and estimation of signal parameter via rotational invariance (ESPRIT) based method for coprime arrays, the proposed algorithm has lower complexity but achieves better DOA estimation performance and handles more sources. Simulation results verify the effectiveness of the approach.

Highlights

  • Direction of arrival (DOA) estimation via a sensor array is an important issue for radar, sonar, and wireless communication systems [1,2,3,4], and many well-known DOA estimation algorithms have been established [5,6,7,8,9,10,11,12]

  • Thereafter, in order to reduce the complexity involved in the peak search of whole angular space, a partial spectral search (PSS) Multiple signal classification (MUSIC) method was proposed in [19] to reduce the search range, and an ESPRIT-based method was proposed in [20] to estimate the DOA without peak search

  • Before the usage of the signal subspaces, we briefly review the properties of the direction matrices

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Summary

Introduction

Direction of arrival (DOA) estimation via a sensor array is an important issue for radar, sonar, and wireless communication systems [1,2,3,4], and many well-known DOA estimation algorithms have been established [5,6,7,8,9,10,11,12]. The support vector classifier-based method proposed in [12] can obtain DOA estimation with a low complexity by exploiting a multi-scaling procedure These methods all can provide accurate DOA estimations by using arrays whose inter-element distances are no larger than a half-wavelength to avoid the ambiguity problem of angle estimation. Thereafter, in order to reduce the complexity involved in the peak search of whole angular space, a partial spectral search (PSS) MUSIC method was proposed in [19] to reduce the search range, and an ESPRIT-based method was proposed in [20] to estimate the DOA without peak search These methods all process the subarrays separately, and the obtained results from the two subarrays are mis-pairing, which result in angular interference between.

Data Model
Construction of Real-Valued CCM with Extended Aperture
Mπ sin θk
Ambiguous DOA Estimation
Unique DOA Estimation
Summaries and Remarks
Simulation Results
Conclusions

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