基于柯西—施瓦兹不等式的三维空间声源识别方法  

Three dimensional acoustic source identification method based on Cauchy-Schwartz inequality

作　　者：赵晓丹[1] 冒凯炫 

机构地区：[1]江苏大学汽车与交通工程学院,江苏镇江212013

出　　处：《中国农机化学报》2016年第2期210-213,共4页Journal of Chinese Agricultural Mechanization

基　　金：江苏大学高级专业人才科研基金(11JDG096);江苏高校优势学科建设工程项目(苏政办发(2011)6号)

摘　　要：提出利用柯西―施瓦兹不等式识别三维空间声源的新方法。该方法假设在三维空间中存在一个虚拟声源,计算虚拟源在传声器阵列上的声压,并构造关于虚拟源的声压向量,然后将其归一化,再与传声器实际测得的声压信号作内积运算,通过优化算法搜索内积模的极值。当内积模达到最大值时,根据柯西―施瓦兹不等式定理确定声源位置;同时声源强度和初相位可以通过对应的内积值直接求得,达到声源识别的目的。仿真结果表明:该方法能准确地识别三维空间声源。A new three dimensional acoustic source identification method is presented in this paper, which is based on Cauchy-Schwartz inequality. This method supposes a virtual source in three dimensional spaces. It calculates sound pressures of this virtual source on microphone array. A sound pressure vector can be constructed by connecting these pressure values in a series. Normalizing this vector and using it to do inner product operation with the practical measured signals. Optimization algorithm is used to search the inner prod- uct modulus maximum. When the inner product modulus reaches the maximum, the source location is determined due to Cauchy- Schwartz inequality. Meanwhile, acoustic strength and initial phase are calculated directly by the corresponding inner product, to achieve the purpose of acoustic source identification. Simulation examples show that this method can accurately identify the acoustic source in three dimensional spaces.

关 键 词：三维空间 声源识别 柯西-施瓦兹不等式 内积 优化 

分 类 号：TB532[理学—物理]