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Fourier Analysis

Grant Heileman

Fall 2013

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Table of Contents

Problem Description………………………………………………….3 

Waveform Analysis……………………………………………………3 Excel Spreadsheet Analysis…………………………………..........4

Results………………………………………………………………….......5

Discrepancies…………………………………………………………8-9

Conclusion………………………………………………………………...9 

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Problem Description

We were asked to determine the behavior and model the

partial sum of the Fourier series of a given waveform. The

waveform we were give had a time length of 72 but had no

symmetry.

Waveform Analysis

It is easy to see that the waveform is neither even or odd and

has a “jump” discontinuity at 37. I averaged the low and high

point at this discontinuity. The waveform starts as concavedown and continues this trend through the discontinuity. At

about 45 it flips to concave up and changes back to concave

down around 53 or 55.

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Resultsa_n