矢量水听器阵列超复数模型及在高分辨率波达角估计中的应用

将超复数代数引入矢量水听器信号处理领域,用超复数来整体表示了矢量水听器输出的4个信号分量,并建立了矢量水听器阵列的超复数模型.在此基础上应用基于超复数奇异值分解的超复数MUSIC算法进行波达角估计并进行计算机仿真.仿真时与长矢量方法进行了比较,理论分析表明,运用超复数模型,算法所需的存储量和除法运算量都减少了75%;仿真结果显示,在取得上述优点的同时,超复数MUSIC算法在性能上没有损失.

Hypercomplex Model of Acoustic Vector Sensor Array and Its Application on the High Resolution 2D DOA Estimation

A hypercomplex model of acoustic vector sensor array is introduced.The hypercomplex number is used to model holistically the four output signal components of an acoustic vector sensor.Then the MUSIC-like algorithm based on the hypercomplex eigenvalue decomposition is used to estimate the direction of arrival(DOA) of signals.In simulations the model is compared with the long vector methods.Both theoretical analysis and simulation results show that,compared with long vector methods,by using the present method either memory requirements or division operations can be reduced by 75%,while the estimation accuracy is kept unchanged.