关于抽样定理最低抽样率的探讨

The investigation about the minimum sample rate of sampling theorem

介于抽样定理在通信理论中的广泛应用和实用价值,把抽样定理在不同教材中的定义进行了分析.以一般信号和正弦信号为例,通过理论分析和频谱图示意,对抽样定理中最低抽样率的取值进行了明确的说明.得出结论:只有抽样信号最低抽样率大于两倍信号带宽时,才能保证信号的无失真恢复.抽样定理中最低抽样率的明确说明为教学和理论研究提供了进一步的理论依据.

The definitions of the sampling theorem in the different teaching materials are analyzed and their extensive application and practical value in the communication theory are discussed. Though examples of common signal and sine signal, by the frequency spectrum graph and theoretical analysis, the minimum sample rate of the sampling theorem is made clear. The conclusion is that only when the minimum sample rate is more than the double of the band of the signal, can the signal been resumed without distortion. The papers explanation of the minimum sample rate in the sampling theorem provides a theoretical basis for teaching and research.