抽样定理的若干基本问题的讨论
Discussion of Some Basic Problems on Sampling Theorem

作者: 樊同亮 , 王玥薇 , 张玉元 :公安海警学院电子技术系,浙江 宁波 ;

关键词: 抽样定理信号重建通信原理Sampling Theory Signal Reconstruction Communication Principle

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.

文章引用: 樊同亮 , 王玥薇 , 张玉元 (2015) 抽样定理的若干基本问题的讨论。 无线通信, 5, 83-89. doi: 10.12677/HJWC.2015.54012

参考文献

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[2] 奥本海姆, 著, 刘树棠, 译 (1998) 信号与系统(第二版). 西安交通大学出版社, 西安.

[3] 郑君里, 应启珩, 杨为理 (2000) 信号与系统. 高等教育出版社, 北京.

[4] 胡广书 (1997) 正弦信号抽样中若干基本问题的讨论. 清华大学学报(自然科学版), 1, 74-77.

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