高阶周期平稳连续随机信号离散化问题的研究

Study the Discretization of Continuous-time Higher-order Cyclostationary Process

本文给出了高阶周期平稳随机过程连续时间信号与离散时间信号循环统计量之间的关系，该关系式较之文献［２］中的表达式更为简单明确；在讨论了连续信号循环频率的支撑区及循环矩支撑区的基础之上，给出了连续信号在时间离散化时不发生混迭的条件；从而由离散信号的循环统计量可以得到连续信号的循环统计量。

The relations between the continuous-time and discrete-time higher-order cyclostationary processes' statistics are obtained, which are much simple and comprehensible. The supports of continuous-time signal's cyclic frequency and cyclic moment spectra are discussed, and the nonaliasing constraints have been established and discussed. The continuous-time signal's cyclic statistics can be obtained from the discrete-time signal's cyclic statistics.