Abstract

The increase in element spacing can increase the aperture of the array and improve its resolution performance. However, phase ambiguity will occur when the array element interval is larger than the minimum half wavelength of the incident signal. The three acoustic velocity components of the acoustic vector are ingeniously constructed into a new kind of quaternions because of the special structure of the acoustic vector sensor array, and the rough estimation of the direction of arrival (DOA) is obtained using the rotation relationship between the subarray steering vectors corresponding to quaternion data. The rough estimate is used to resolve the phase ambiguity of the spatial phase difference between the array elements, and the high-precision DOA estimation of the signal can be obtained. Simulation results show that the method is effective.

Highlights

  • The use of electromagnetic wave for communication or target location has become mainstream

  • Sound waves can travel around obstacles, such as mountains, rivers, and forests, and the sound source detection system can effectively detect the information of the target

  • The acoustic vector sensor consists of an acoustic pressure component sensor and a speed sensor in three-speed directions

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Summary

Introduction

The use of electromagnetic wave for communication or target location has become mainstream. The accurate and unambiguous estimations of the direction of arrival (DOA) are obtained by using the rough estimation of the nonsparse array to solve the phase ambiguity of the sparse array. In [18], a quaternion ESPRIT algorithm based on the translationinvariant cross dipole array was proposed These studies show that the parameter estimation algorithm based on the multivariate number has improved model error tolerance by using the constraint relationship between the different imaginary parts of the multivariate number and the strong constraint condition between the orthogonal vectors of multivariate number. A quaternion–ESPRIT algorithm for solving the direction-finding ambiguity based on the acoustic vector is proposed. This algorithm is different from the previous ambiguity-solving method. This method has a small amount of computation and can enable high-precision DOA estimation without ambiguity

Acoustic Vector Array Model
Quaternion Method
Long Vector Method
C Rs C H σ2I: ð33Þ
Performance Analysis of the Algorithm
Simulation Experiment and Analysis
Conclusion
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