Fourier series for synthesis and analysis of periodic signals

Hao, Yunman (2021) Fourier series for synthesis and analysis of periodic signals. IOP Conference Series: Earth and Environmental Science, 769 (4). 042087. ISSN 1755-1315

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Official URL: https://doi.org/10.1088/1755-1315/769/4/042087

Abstract

Abstract: This report mainly explores three major parts, namely, periodic discrete-time signals, generation of periodic Fourier signals and analysis of quasi-periodic Fourier signals. We use Matlab to analyze the signal and generate Excel spreadsheet. The waveforms of different frequencies are drawn by Matlab, and the waveforms are analyzed. In addition, the formula for synthesizing periodic signals is simplified and demonstrated here.


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