平面阵声源方位角估计扰动敏感性分析  

Perturbation sensitivity analysis of azimuth estimation of the acoustic source for the planar microphone array

作　　者：许志勇[1] 赵兆[1] 

机构地区：[1]南京理工大学电子工程与光电技术学院,江苏南京210094

出　　处：《西安电子科技大学学报》2017年第4期95-99,150,共6页Journal of Xidian University

基　　金：国家自然科学基金资助项目(61171167;61401203);江苏省自然科学基金资助项目(BK20130776)

摘　　要：针对实际小型声测节点阵列方案和测向性能的定量分析需求,通过推导任意平面阵远场声源方位角估计误差上界,明确了方位角估计扰动敏感因子的4个影响要素及其物理含义,证明了增加阵元对数量和采用阵元各向均匀分布等措施能有效降低声源定向算法对阵元间波达时间差估计的扰动敏感性.比较分析与数值结果表明,该分析方法能够定量评估和比较不同平面阵方案的方位角估计性能.Aiming at the requirements of quantitative analysis of the array scheme and positioning performance of a practical compact acoustic detection node system, the upper bound of the far-field azimuth estimation error for an arbitrary small-size planar array is derived and the four elements of the corresponding perturbation sensitivity factor with explicit physical significance are determined. It is proved that the perturbation sensitivity of the source direction-finding algorithm to the time difference of arrival （TDOA） estimates between microphones can be lowered obviously by means of increasing the number of distinct microphone pairs as well as employing spatially uniform distribution of array elements. Simulation results demonstrate that this study provides a quantitative approach to evaluating and comparing the azimuth estimation performance of different planar arrays.

关 键 词：麦克风阵列 平面阵 方位角估计 波达时间差 误差分析 

分 类 号：TN912.3[电子电信—通信与信息系统]