Skip to main content
1-Visitor
Sep 11, 2014 8:00 PM UTC
Solved

Fourier Series of this graph

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

19-Tanzanite
Sep 12, 2014 11:10 AM UTC

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

Fourier.PNG

Alan

7 replies

19-Tanzanite
Sep 11, 2014 8:38 PM UTC

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).

Translate
19-Tanzanite
Sep 12, 2014 11:10 AM UTC

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

Fourier.PNG

Alan

Translate
Sha1-VisitorAuthor
1-Visitor
Sep 12, 2014 2:25 PM UTC

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

Translate
24-Ruby IV
Sep 12, 2014 5:41 PM UTC
Werner_E
25-Diamond I
Sep 13, 2014 2:16 AM UTC

Here is an alternative approach.

Fourier_squarewave.gif

Translate
24-Ruby IV
Sep 13, 2014 6:07 AM UTC