[1]尹继武,龙姝明.基于Mathematica程序的阶梯三角波频谱分析新方法[J].南京师范大学学报(工程技术版),2006,06(01):024-27.
　YIN Jiwu,LONG Shuming.A New Way to Analyze The Frequency Spectrum of Ladder Triangular Waves Based on the Mathematica Program[J].Journal of Nanjing Normal University(Engineering and Technology),2006,06(01):024-27.
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基于Mathematica程序的阶梯三角波频谱分析新方法
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
06卷
期数:
2006年01期
页码:
024-27
栏目:
出版日期:
2006-03-30

文章信息/Info

Title:
A New Way to Analyze The Frequency Spectrum of Ladder Triangular Waves Based on the Mathematica Program
作者:
尹继武;龙姝明;
陕西理工学院物理系,陕西汉中723001
Author(s):
YIN Jiwu; LONG Shuming
Department of Physics,Shaanxi University of Technology,Hanzhong 723001,China
关键词:
Mathematica程序;  频谱;  阶梯三角波;  谐波
Keywords:
Mathematica p rogram;  frequency spectrum;  ladder triangularwaves;  harmonic waves
分类号:
TN911
摘要:
提出了一种利用Mathematica程序对包含多个有限间断点的分段连续周期信号进行频谱分析的普遍性新方法,理论出发点是频谱分析的傅里叶级数展开法,其主要特点是利用Mathematica软件强大的函数运算功能,具体解决了对阶梯波作频谱分析这个理论方法上可行,但实际计算手段无法给出结论的困难.并用此方法首次对数模转换器合成的阶梯三角波的频谱进行了严密的分析.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,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.
Abstract:
The paper put forward a new generalway to analyze the frequency spectrum of periodic signal based on the Mathematica p rogram. Its theoretical p rincip le is Fourier series method of development. The computing difficulty to analyze the frequency spectrum of the ladder wave is solved by the aid of theMathematica p rogram. The frequency spectrum of the ladder triangularwave is analyzed in thisway. TheMathematica p rogram is recommended to do it. As a result, the frequency spectrum structure of the ladder triangularwave is decided by the number 2k of the ladder in a cycle of triangularwave.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 陕西理工学院教改资助项目(YJG0421) .
作者简介: 尹继武(19672) ,副教授,主要从事电子技术的教学与研究. E-mail: yjw23456@163. com
更新日期/Last Update: 2013-04-29