复正弦波模型在声源方向和功率谱检测中的应用

提出应用复合复数正弦波模型（ＣＣＳＭ）法检测入射声波的方向和功率谱，线阵排列传感器的输出信号经离散傅里叶变换分离成各不相同的频率成分，由它们可构成空间序列，如果仅存在一个平面波时，序列构成一个空间复数正弦波，当有多个平面波存在时，序列为由这些平面波形成的空间复数正弦波之和，从相应正弦波求得的振幅和相位变化率可以检测平面波的入射方向和功率谱，当线阵的长度接近于入射波波时ＣＣＳＭ法所得到的指向性图没有

An Application of Composite Complex Sinusoidal Modeling to the Estimation of Directions and Power Spectra of Incident Plane Waves

The Composite Complex Sinusoidal Modeling(CCSM) for the estimation of direction and power spectrum of an incident sound using a linear array of sensors is proposed.Output signals from the sensors in the array are stored in a computer and separated with Discrete Fourier Transform (DFT) into different frequency components,for all of which spatial sequences are generated.If only one plane wave is present,a spatial complex sinusoidal wave is formed by the sequence.Whereas in the case of a plural number of plane waves,the sequence is provided by the sum of the same number of spatial complex sinusoidal waves as the number of the plane waves.Derection and power spectrum of an incident plane wave are estimated by evaluating amplitude and rate of phase change of the corresponding sinusoidal wave.The directivity pattern obtained with CCSM has no side lobe and gives only a single line which indicates the direction and power of the incident plane wave even if the length of the array is the same order as the wave length of the incident plane wave.The effectivness of CCSM is confimed by compute rsimulation.