Abstract: A fire-new theory for periodic or quasi-periodic signal sampling is proposed, which is especially for sampling high-frequency wideband periodic or quasi-periodic signal by low sampling rate system. We can get sample of signal using Nyquist sampling theorem, but Nyquist sampling theorem is only a sufficient theorem. After adding the periodic condition, we can obtain less limited requirements. In this paper, a mathematical model of sampling process is presented, based on stochastic processes theorem, then using this model, we establish a fire-new equivalent sampling theory.

Key words: Nyquist sampling, equivalent sampling, renewal process, frequency spectrum analysis

摘要： 涉及一种周期或准周期信号的采样技术，特别适用于低频采样系统采集高频宽带周期或准周期信号。信号的采样可以使用Nyquist采样定理，但Nyquist采样定理只是一个充分性定理，增加周期条件后，可以得到更弱的采样要求。在随机过程理论基础上建立了采样过程的数学模型，并利用该模型建立了一种全新的等效采样理论。

关键词: Nyquist采样, 等效采样, 更新过程, 频谱分析