Fourier Deconstruction
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.
RMS Values
Derive the necessary formula/method to determine the effective value or RMS of a triangular wave. Use either a similar method to the class example of the RMS determination of the sinusoidal wave or any other appropriate method.