频域采样性质的推导与理解新思路

A New Idea about Deducing and Understanding the Frequency Domain Sampling Property

采样定理对模拟信号的数字化领域很重要,时域采样定理在教科书中讲解较为详细,频域采样定理比时域采样定理更难理解。频域采样相关知识也是信号的计算机数字化处理以及频分复用技术理论基础。该文在介绍有限连续时间信号和有限离散时间信号对应的频域采样方法及采样后时域信号性质基础上,提出了一种理解有限离散时间信号的频域采样性质的新思路,并有助于对频域采样性质的理解。

Sampling theorem is very important in the digitized field of analog signal, the time domain sampling theorem is more detailed in the textbook, and the frequency domain sampling theorem is more difficult to understand and the time domain sampling theorem. The frequency domain sampling and knowledge relating to it are also a the oretical basis for the digital processing of signals and frequency division multiplexing technology. Basing on the frequency domain sampling method and the time domain sampling signal that the finite continuous time signal and the finite discrete time signal correspond to, this paper puts forward a new idea to understand the property of finite discrete time signal in the frequency domain sampling, and it contributed to the understanding of the frequency domain sampling.