The direction－of－arrival estimation for wideband coherent sources using the circular acoustic vector sensor array

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Journal of Nanjing University(Natural Sciences) ›› 2017, Vol. 53 ›› Issue (4) : 621.

An Yanyan1，Li Ying1，Shi Shengguo1，2*，Shi Jie1，2

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Abstract

With the development of the acoustic vector sensor，DOA(direction－of－arrival)estimation methods of the wideband signals with high spatial resolution based on the acoustic vector array have been widely concerned.When sources are correlated or coherence，the detection performance of the high resolution DOA estimation methods will degrade.In order to solve the problem of distinguishing from coherent wideband targets，a new DOA estimation algorithm for a UCAVSA(uniform circular acoustic vector sensor array)is proposed in this paper.Firstly，by extending the concept of the sub－band decomposition to the UCAVSA，the wideband received signals of the UCAVSA are decomposed into a number of narrowband signals.The mode space transformation principle further transforms the UCAVSA to a virtual uniform linear array which removes the frequency dependency of the response of the UCAVSA.For every narrowband signals，the cross－covariance matrixes between the acoustic pressure P and the acoustic particle velocity (Vr＋Vφ) of the virtual uniform linear array are constructed，and then they are averaged to obtain the covariance matrix of wideband signals.In addition，a modified singular value decomposition algorithm，which is used to restore the rank of the covariance matrix by reconstructing the cross covariance matrix，is applied to solve distinguishing from coherent sources.Finally，the spatial spectrum formulation for MUSIC based on the modified singular value decomposition has been derived.Theoretical analyses and simulation results show that the spatial resolution of the modified singular value decomposition algorithm is higher than that of the non－modified singular value decomposition algorithm.Meanwhile，the combined processing method of P×(Vr＋Vφ) can improve the DOA estimation performance compared to the same manifold of traditional uniform circular pressure sensor array and other combined processing of the acoustic pressure and the acoustic particle velocity(such as (P＋Vc)×Vc and P×Vc)．It is also discovered that the proposed method combined P×(Vr＋Vφ) with the modified singular value decomposition algorithm can effectively resolve the coherent sources and reduce the SNR(signal－to－noise ratio)threshold.The effectiveness of the proposed method is verified by the pool experimental results.In addition，the proposed method has a widely application in radar system and air acoustics.

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circular acoustic vector sensor array / mode space transformation / modified singular value decomposition / direction－of－arrival estimation

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An Yanyan, Li Ying, Shi Shengguo, Shi Jie, . The direction－of－arrival estimation for wideband coherent sources using the circular acoustic vector sensor array[J]. Journal of Nanjing University(Natural Sciences), 2017, 53(4): 621

References

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