物理实验

非正弦信号的有效带宽与能量截断误差分析

  • 陈国杰 ,
  • 陈奎 ,
  • 成建群 ,
  • 谢嘉宁 ,
  • 陈伟成
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  • 佛山科学技术学院物理与光电工程学院,广东佛山528000
陈国杰( 1965—) ,男,湖南祁东人,佛山科学技术学院理学院教授,博士,主要从事物理电子教学与研

收稿日期: 2017-03-03

  修回日期: 2017-05-12

  网络出版日期: 2018-01-20

基金资助

“大学物理实验”广东省教学团队,广东省研究生教育创新计划项目资助.

Energy effective bandwidth of non-sinusoidal wave and its energy truncation error

  • CHEN Guo-jie ,
  • CHEN Kui ,
  • CHENG Jian-qun ,
  • XIE Jia-ning ,
  • CHEN Wei-cheng
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  • School of Physics and Optoelectronic Engineering,Foshan University,Foshan,Guangdong 528000,China

Received date: 2017-03-03

  Revised date: 2017-05-12

  Online published: 2018-01-20

摘要

提出了一种用有效能量评估有效带宽截断误差的方法.采用梯形波作为信号模型,通过matlab 计算,分析了非正弦信号有效带宽0.35 /tr的能量截断误差和物理含义; 阐述了理想矩形信号常用1 /τ 带宽的不足,提出了其修正公式.结果表明,有效带宽0.35 /tr的能量截断误差小于3%; 带宽1 /τ 的能量截断误差高达10%,故修正为3 /τ.信道和示波器的带宽应大于信号的有效带宽.

本文引用格式

陈国杰 , 陈奎 , 成建群 , 谢嘉宁 , 陈伟成 . 非正弦信号的有效带宽与能量截断误差分析[J]. 大学物理, 2018 , 37(1) : 59 -63 . DOI: 10.16854 /j.cnki.1000-0712.170094

Abstract

A method of evaluating the truncation error of the effective bandwidth is proposed. Taking a trapezoidal wave as a signal mode and using MATLAB calculations,the energy truncation error and physical nature of the effective bandwidth formula 0.35 /tr for a non-sinusoidal wave are analyzed,and the disadvantages of the bandwidth formula 1 /τ for an ideal rectangular wave are explained. The analysis results show that the truncation error of the effective bandwidth formula 0.35 /tr is less than 3%,and the truncation error of the formula 1 /τ is less than 10%. Therefore,the effective bandwidth formula for the ideal rectangular wave is modified to be 3 /τ. The bandwidths of a signal channel and an oscilloscope should be chosen greater than the effective bandwidths of the measured signals.
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