关于频域相干性及其数值计算研究

On The Coherence in Frequency—Domain and Its Investigation in Numerical Computing

相干分析是数字信号处理中的基本问题之一。从时域量度两信号相干性的基本公式进行过严格的论证及计算研究。而关于从频域量度两信号相干性的问题,也在一些专著中论述过。其对幅值平方频域相干函数定义为: MSCxy2（K）=|Rxy（K）|2/[Rxx（K）Ryy（K）] （1） 并指出（但未证明）:MSCxy2（K）≤1。

Chongqing Univ. of Medical Sciences, Chongqing, China, Post Code 630046 Accroding to the definition of magnitude-squared coherence function in frequencg-domain given by references(2—9) MSC_(xy)(K)=|R_(xy)(K)|~2/[R_(xx)(K)+R_(yy)(K)] we have proved it is equal to one, or to measure any coherence between two signals. MSC_(xy)(K)=1, so that can not be Based on the coherence of identical and different spectrum, that is, based on measuring same phase and shift phase similality of the waveform in time-domain, a series of the correct coherence formulae in frequency-domain computing was was given, and comparing investigation of numerical made at the same time.