抽样定理的若干基本问题的讨论

Discussion of Some Basic Problems on Sampling Theorem

摘要: 抽样定理是《通信原理》课程中的重点和难点，抽样定理在连续时间信号与离散时间信号之间架起了一座桥梁。本文首先给出抽样定理及信号恢复理论的证明，得到了信号重建的条件，并对抽样定理的适应性进行详尽的阐述讨论。利用实验箱建立信号的采样与重建的实验系统，通过设置不同的采样频率，得到在不同频率的情况下信号的恢复波形，从而直观地验证了抽样定理。

Abstract: Sampling theorem is the important and difficult knowledge point in the course of communication principle. Sampling theorem sets up a bridge between continuous-time signal and discrete-time signal. Sampling theory and theory of signal reconstruction are proved theoretically. The adapta-bility of sampling theory is thoroughly discussed. The experiment system on sampling and recon-struction on signal using experimental box is established. By setting different sampling frequency, the recovery of signal is obtained at different frequency. The sampling theorem is intuitively veri-fied.