Fourier Series coefficients, orthogonal?

  • #1

Homework Statement



Hello. I need help with orthogonality of the fourier series coefficients. I know you can use the dirac delta function, (or the kronecker function) in the orthogonality relationship. I want to try and see the derivation using complex form rather than sines and cosines.

Homework Equations



proof of
[itex]\frac{1}{T}\int^T_0 e^{inw_0t}e^{-imw_0t} dt = \delta_{m}{n}[/itex]

The Attempt at a Solution



Basically I havent got very far, do not know where to start in this proof. any help would be appreciated?

thanks
 

Answers and Replies

  • #2
Obviously, m and n must be integers, which makes things really easy. Just assume m=n, do the integration and write down what you get. Then assume [itex] m \neq n [/itex], do the integration and write down what you get.
 
  • #3
Okay I have got it. Thanks!
 
Last edited:

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