一种全新的等效采样

A Fire\|new Equivalent Sampling Theory

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。

A fire\|new theory for periodic or quasi\|periodic signal sampling is proposed,w hich is especially for sampling high\|frequency wideband periodic or quasi\|peri odic signal by low sampling rate system.We can get sample of signal using Nyquis t sampling theorem,but Nyquist sampling theorem is only a sufficient theorem.Aft er 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 sam pling theory.