Fourier deconstruction, Electrical Engineering

Find the Fourier series as far as the third harmonic, to represent the periodic function y, given by the values in the following table.

x

0o

30 o

60 o

90 o

120 o

150 o

180 o

210 o

240 o

270 o

300 o

330 o

360o

y

-3.5

5.1

8.4

8.2

10.3

12.0

9.0

3.4

-6.2

-10.0

-16.5

-14.5

-3.5

Use a spreadsheet to determine its parameters. Draw the graph of the waveform and explain your working out.

 

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