信号的直接采样理论

经典的采样定理建立了带限信号与其均匀采样值之间的联系。本文对采样定律作了三点补充 :1)给出在定理条件不满足时 ,由均匀采样值恢复的信号与原信号的误差表达式 ;2 )用简洁的方法分析了带通信号的均匀采样问题 ,得到了采样率应满足的条件 ;3)研究了一种特殊的非均匀采样情况 ,给出了采样率的可取范围以及由非均匀采样重构原信号的公式。这些都是对经典采样定理的丰富和深化。

Direct Sampling Theory of Signal

Classical sampling theorem establishes the relationship between the band_limited signal and its uniform samples This paper reinforces it in three aspects First, the error formula of the reconstructed signal and the original signal is presented when the theorem conditions are not satisfied Second, this paper analyzes the uniform sampling of the band_pass signal using concise method, and then gets the conditions which the sampling frequency should satisfy Last, the nonuniform sampling of the band_pass signal is studied The consent range for sampling frequency and the reconstructed formula from its nonuniform samples are presented All this enriches and deepens the classical sampling theorem