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1-Visitor
September 11, 2014
Solved

Fourier Series of this graph

  • September 11, 2014
  • 5 replies
  • 5967 views

I've already set up the equation but i can't get this to work. What am I doing wrong?

Best answer by AlanStevens

Because you want odd harmonics only, you will need to change the n's within the sum to (2n-1):

Fourier.PNG

Alan

5 replies

19-Tanzanite
September 11, 2014

You have the wrong type of summation operator. You need the one that looks like the summation in the first image, with placeholders top and bottom (you can get it with Ctrl Shft 4).

19-Tanzanite
September 12, 2014

Because you want odd harmonics only, you will need to change the n's within the sum to (2n-1):

Fourier.PNG

Alan

Sha1-VisitorAuthor
1-Visitor
September 12, 2014

Hey Alan, thank you for your help, it looks great. One last question so would I have to change the value of N or little n? And is there a way to place the 3rd,5th,7th, etc. harmonic of the waves on the same graph or I can only do that separately?

For example,


y(4,t) = 3rd Harm.

y(6,t) = 5th Harm.

y(8,t) = 7th Harm.

Is that what I should put on the y-axis of plot?

Thank you,

Sha

24-Ruby IV
September 12, 2014
25-Diamond I
September 13, 2014

Here is an alternative approach.

Fourier_squarewave.gif

24-Ruby IV
September 13, 2014