从采样信号中完全重建原信号的条件为基础,推导了周期非均匀采样的最低采样阶数Ⅳ。与其单通道采样率fs需要满足的关系,给周期非均匀采样的有效应用提供了理论指导。并进一步分析了最小总采样率fM。结论证实了周期非均匀采样能保证任意带通信号以2倍带宽的采样率进行采样。
The relationship between the sampling order NM and the sampling rate for each channel f, for the perfect reconstruction of the original signal is derived. It provides a theoretical guidance for a valid periodically nonuniform sampling, Then, the total sampling rate fM of the periodically nonuniform sampling is analyzed. The conclusion proves that by the periodically nonuniform sampling, any bandpass signals can be validly sampled with the sampling rate of two times bandwidth of the bandpass signal.