2006•Journal of Nanjing Normal UniversityRequires access

A New Way to Analyze The Frequency Spectrum of Ladder Triangular Waves Based on the Mathematica Program

Long Shu-ming

Abstract

The paper put forward a new general way to analyze the frequency spectrum of periodic signal based on the Mathematica program.Its theoretical principle is Fourier series method of development.The computing difficulty to analyze the frequency spectrum of the ladder wave is solved by the aid of the Mathematica program.The frequency spectrum of the ladder triangular wave is analyzed in this way.The Mathematica program is recommended to do it.As a result,the frequency spectrum structure of the ladder triangular wave is decided by the number 2k of the ladder in a cycle of triangular wave.

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Key concepts: Spectrum (functional analysis), Frequency spectrum, Broad spectrum, Series (stratigraphy), Fourier series, Computer science, Mathematics, Mathematical analysis