关键词: Nyquist采样, 等效采样, 更新过程, 频谱分析

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