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2D DOA Estimation Algorithm by Nested Acoustic Vector-Sensor Array

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Abstract

In this paper, a two-dimensional direction-of-arrival (DOA) estimation algorithm based on nested acoustic vector-sensor (AVS) array is introduced. The minimum unit interval of the used nested AVS array is integral multiple of half-wavelength of signal. Firstly, four selection matrices are used to recombine four received vectors, by which four special cross-covariance matrices are obtained to form an extended block covariance matrix. Then, a set of parameters on elevation angles are estimated by traditional estimation of signal parameter via rotational invariance technique (ESPRIT) algorithm. Using these parameters, unambiguous elevation angles can be obtained without spectral peak search and added eigenvalue decomposition. At last, using the estimated elevation angles, the azimuth angles can be estimated by array manifold matching algorithm. The proposed algorithm can distinguish more signals than some existing ESPRIT algorithms. Many simulation results can prove the performance of the proposed algorithm in improving the accuracy of DOA estimation. Simulation results also show that the unit interval of optimal nested AVS array should be larger than half-wavelength of received signal.

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The codes used to perform simulation experiment are available from the authors.

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Funding

This work was supported by the Foundation of Top-notch Talents by Education Department of Guizhou Province of China (KY [2018]075), the PhD Research Start up Foundation of Tongren University (trxyDH1710), the Science and Technology Foundatiaon of Guizhou Province of China ([2018]1162) and the National Natural Science Foundation of China (51877015, U831117).

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Correspondence to Jing Zhao.

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Liu, S., Zhao, J., Zhang, Y. et al. 2D DOA Estimation Algorithm by Nested Acoustic Vector-Sensor Array. Circuits Syst Signal Process 41, 1115–1130 (2022). https://doi.org/10.1007/s00034-021-01831-5

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