Fourier Coefficients

  • Thread starter Nusc
  • Start date
  • #1
753
2

Homework Statement



f(t) = 1 0<=t<T/2
-1 T/2 <=t<=T

ie. step function.


frequency w_0 = 2pi/T

Homework Equations





The Attempt at a Solution



What's the definition for the fourier coefficients a_n and b_n again? Not the one in wikipedia.
 

Answers and Replies

  • #2
2,337
673
Show us the work you have done on this. There are defining integrals for these coefficients, so set them up and try evaluating them.
 
  • #3
753
2
[tex]

a_n = \frac{1}{\pi} \int_0^{T/2} 1*cos(nt) dt +\frac{1}{\pi} \int_{T/2}^{T} (-1)*cos(nt) dt
[/tex]

[tex]

b_n = \frac{1}{\pi} \int_0^{T/2} 1*sin(nt) dt +\frac{1}{\pi} \int_{T/2}^{T} (-1)*sin(nt) dt
[/tex]

I think the normalization factor is incorrect, which is why i asked for the definition, I think it was 2/L where L is the length of the interval - i can't remember.
 
  • #4
2,337
673
If you can't remember, do you have a book?
 
  • #5
753
2
No, that's why I asked.
 

Related Threads on Fourier Coefficients

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
9
Views
643
  • Last Post
Replies
2
Views
968
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
11
Views
701
  • Last Post
Replies
1
Views
979
  • Last Post
Replies
5
Views
577
Top