用FOT概率模型提取循环平稳信号的周期成分

Extraction of the periodic components from cyclostationary signals by using FOT probability model

运用概率和度量空间等距同构的理论,对FOT概率模型进行了推导,然后将二阶FOT概率模型运用于循环平稳信号的周期成分提取中,并进行了改进.利用FOT概率的循环谱,实现周期成分提取,并将这种改进的周期成分提取操作运用于通信信号的载波频率和符号速率的提取中,实验结果表明,该方法能准确获取循环平稳信号的周期频率.

FOT probability model was derived in terms of the knowledge of the probability and the knowledge of the isometric isomorphism of metric space. The periodic-component extraction method was improved by cyclic spectrum estimating of second order FOT probability instead of the Fourier transformation of the FOT probability. And this improved method is then adopted to derive the carrier frequency and the symbol rate of communication signal. In the results of simulations, the cycle frequency of cyclostationary signal is exactly presented in the cyclic spectrum of the FOT probability of the signal.