采样定理的拓展--一种新的非均匀采样规则

由于采样定量用来指导采样时段内信号的均匀采样（或重采样），但在实际中需要进行磋均匀采样，因此提出了一种新的非均匀采样规则，即让短时采样频率大于等于2倍的信号短时最大频率，以指导非均匀采样（或重采样）。经用两个仿真信号验证说明，非均匀采样的数据用样条插值恢复只有很小的数值误差，说明该规则是可行的，并将它与传统的非均匀采样定理做了比较，指出了它面向时变信号采样的特点。

Extension of the Sampling Theorem--A New Non-Uniform Sampling Rule

The traditional sampling theorem is usually used to guide the uniform sampling(or re-sampling) during the total sampling period.However there are many practical situations in which non-uniform sampling is needed or has to be performed.For example,the sampling intervals are controlled by hand,or the signal frequency component changes too much with the time,and so on.This paper extends the traditional sampling theorem into a new non-uniform sampling rule.The short time sampling frequency must be at least twice the short time signal maximum frequency.Two simulated signals validate the feasibility of the rule,and the comparison of the rule with the conventional non-uniform theorem is given.