College Physics ›› 2018, Vol. 37 ›› Issue (1): 59-63.doi: 10.16854 /j.cnki.1000-0712.170094

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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   

  1. School of Physics and Optoelectronic Engineering,Foshan University,Foshan,Guangdong 528000,China
  • Received:2017-03-03 Revised:2017-05-12 Online:2018-01-20 Published:2018-01-20

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.

Key words: non-sinusoidal wave, Fourier series, effective bandwidth, truncation error