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Math Help - fourier series

  1. #1
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    fourier series

    determine the fourier expansion of the specific function whose definitions in an period is f(t)=t , 0<t<1
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  2. #2
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    Quote Originally Posted by alderon View Post
    determine the fourier expansion of the specific function whose definitions in an period is f(t)=t , 0<t<1
    Look at your notes for the definition of Fourier series. It should include an
    arbitary interval or an interval [0,T] or [-T,T], then renomalise to the interval [0,1].

    See also here.

    Do what it says and you will have a family of integrals to evaluate, which can be
    done using integration by parts.

    If you have any more specific questions then please ask

    RonL
    Last edited by CaptainBlack; August 1st 2007 at 10:46 PM.
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  3. #3
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    Quote Originally Posted by alderon View Post
    determine the fourier expansion of the specific function whose definitions in an period is f(t)=t , 0<t<1
    It depends what you want. Do you want a Fourier Sine or Cosine series?
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  4. #4
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    Quote Originally Posted by ThePerfectHacker View Post
    It depends what you want. Do you want a Fourier Sine or Cosine series?
    Without qualification it means the ordinary Fourier (for period 1) series:

    <br />
f(x)=\frac{a_0}{2}+\sum_{n=1}^{\infty} \left(a_n \cos(2 \pi n x) +b_n\sin(2 \pi n x) \right)<br />

    RonL
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