通信教学研究中带通采样的统一推导与验证  

Unified Derivation and Verification of Bandpass Sampling in Communication Teaching and Research

作　　者：王兵锐 张新刚[1] 马晓普 WANG Bingrui;ZHANG Xingang;MA Xiaopu(Software College,Nanyang Normal University,Nanyang 473061,China)

机构地区：[1]南阳师范学院软件学院

出　　处：《现代信息科技》2019年第24期55-57,共3页Modern Information Technology

基　　金：河南省科技攻关项目(项目编号:182102210114);河南省高等学校重点项目:基于FPGA的肿瘤诊疗大数据优化处理研究(项目编号:18A520044);南阳师范学院项目(项目编号:501-17323)

摘　　要：在模拟信号转数字信号的通信过程中,带通采样起着非常重要的作用。然而带通采样涉及连续傅里叶变换和离散傅里叶变换等知识,复杂难懂。一些文献偏重数学公式的推导,涉及较多数学知识,难以理解。尤其不同的文献采用的带通采样公式不同,导致带通采样公式有多种表达式。本文采用浅显易懂的语言描述带通采样,并详细推导不同公式之间的关联性,揭示这些公式的统一性。仿真实验表明测试得到的带通采样结果与理论一致。In the process of converting analog signal to digital signal,bandpass sampling plays a very important role.However,bandpass sampling involves of continuous Fourier transform and discrete Fourier transform,which is complex and difficult to understand.Some references lay particular stress on the deduction of mathematical formulas,which is not easy to understand.Especially,different bandpass sampling formulas are used between different references,which leads to many expressions of bandpass sampling formulas.In this study,the bandpass sampling is described in plain language,and the correlation between different formulas is deduced in detail to reveal the uniformity of these formulas.The simulation results show that test results are in agreement with the theory.

关 键 词：带通采样 傅里叶变换 频域 带宽 

分 类 号：TN929[电子电信—通信与信息系统]