非正弦信号的有效带宽与能量截断误差分析  

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

作　　者：陈国杰[1] 陈奎[1] 成建群 谢嘉宁[1] 陈伟成[1] 

机构地区：[1]佛山科学技术学院物理与光电工程学院,广东佛山528000

出　　处：《大学物理》2018年第1期59-63,共5页College Physics

基　　金："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

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.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/trfor 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 truncationerror of the effective bandwidth formula 0.35/tris 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.

关 键 词：非正弦波 傅里叶级数 有效带宽 截断误差 

分 类 号：O45[理学—无线电物理]