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分段连续阶梯三角波频谱的Mathematica程序分析
引用本文:尹继武,李淼,龙姝明.分段连续阶梯三角波频谱的Mathematica程序分析[J].河南师范大学学报(自然科学版),2006,34(1):63-66.
作者姓名:尹继武  李淼  龙姝明
作者单位:陕西理工学院,物理系,陕西,汉中,723001;平顶山工学院,土木工程系,河南,平顶山,463000
摘    要:基于Mathematica程序,我们提出了一种对分段连续周期性阶梯信号进行频谱分析的方法,该方法对包含多个有限间断点的分段连续信号的频谱分析具有普遍意义.用此方法对数模转换器合成的阶梯三角波的频谱进行了分析,给出了能够完成频谱分析,作出波形图和对应频谱图的Mathematica程序.本研究表明:阶梯三角波的频谱结构由三角波每个周期中的阶梯数2k决定.

关 键 词:Mathematica程序  频谱  阶梯三角波  谐波
文章编号:1000-2367(2006)01-0063-04
收稿时间:2005-05-18
修稿时间:2005年5月18日

Spectrum Analysis of Segment Continuous Ladder Triangular Wave Based on Mathematica Procedure
YIN Ji-wu,LI Miao,LONG Shu-ming.Spectrum Analysis of Segment Continuous Ladder Triangular Wave Based on Mathematica Procedure[J].Journal of Henan Normal University(Natural Science),2006,34(1):63-66.
Authors:YIN Ji-wu  LI Miao  LONG Shu-ming
Institution:1. Department of Physics, Shaanxi University of Technology, Hanzhong 783001, China; 2. Department of Civil Engineering, Pingdingshan Institute of Technology, Pingdingshan 467000,China
Abstract:The paper put forward a new general way to analyse the frequency spectrum of periodic signal based on Mathematica program.The frequency spectrum of ladder triangular wave is analysed in this way.The Mathematica program is recommended to do it.As a result,it's spectra structure decided by the number 2k of ladder in a cycle of triangular wave.
Keywords:Mathematica program  frequency spectrum  ladder triangula wave  harmonic wave
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