fourier analysis grant
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8/13/2019 Fourier Analysis Grant
http://slidepdf.com/reader/full/fourier-analysis-grant 1/5
Fourier Analysis
Grant Heileman
Fall 2013
8/13/2019 Fourier Analysis Grant
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Table of Contents
Problem Description………………………………………………….3
Waveform Analysis……………………………………………………3 Excel Spreadsheet Analysis…………………………………..........4
Results………………………………………………………………….......5
Discrepancies…………………………………………………………8-9
Conclusion………………………………………………………………...9
8/13/2019 Fourier Analysis Grant
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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
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