四元传声器阵列定向算法及其结构优化

A directional algorithm of four-element acoustic array and optimization

推导任意四元传声器阵列的定位算法和近似的定向算法,并得出性能最优的四元传声器阵列结构。建立任意四元阵列后,通过矩阵分析推出定位公式,在声源位于远场时,通过近似得到既能保证精度又十分简洁的定向算法;通过数学分析,推导出最佳的四元传声器阵列结构。数值计算结果表明,提出的近似定向算法是可靠的;计算机蒙特卡罗仿真结果表明,导出的最佳四元阵列性能优于普通的四元阵和正四面体阵。

The location algorithm and approximate directional algorithm of the arbitrary four-element acoustic array are presented, and the best structure of the array is designed. After the arbitrary four-element acoustic array is designed, the location algorithm is derived from matrix analysis. The concise approximate directional algorithm with high precision is presented when the acoustic target locates in far field. The best structure of the array is derived according to mathematical analysis. The result of numeric computation demonstrates that the approximate directional algorithm is robust, the result of Monte Carlo simulation shows that the performance of the optimum four-element array structure is better than the common one or the regular tetrahedron one.