Fourier transform!

Maths and statistics discussion, revision, exam and homework help.

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  1. mathena's Avatar
    • New Member
    • Location: coventry
    • Posts: 20
    Fourier transform!
    Hi i dont know how to find the fourier transform of
    δε(t)= ε^-1 if -ε/2<t<ε/2
    δε(t)=0 otherwise

    any help?
  2. bestofyou's Avatar
    • TSR Demigod
    • Location: Anratcitca Raescrh Stiaton
    • Posts: 5,096
    Re: Fourier transform!
    is this A-level?

    (Original post by DFranklin)
    Just use the integral definition.

    (Original post by mathena)
    Hi i dont know how to find the fourier transform of
    δε(t)= ε^-1 if -ε/2<t<ε/2
    δε(t)=0 otherwise

    any help?
    Last edited by bestofyou; 05-04-2012 at 14:28.
  3. DFranklin's Avatar
    • TSR Royalty
    • Location: London
    • Posts: 18,052
    Re: Fourier transform!
    (Original post by mathena)
    Hi i dont know how to find the fourier transform of
    δε(t)= ε^-1 if -ε/2<t<ε/2
    δε(t)=0 otherwise

    any help?
    Just use the integral definition.
  4. mathena's Avatar
    • New Member
    • Location: coventry
    • Posts: 20
    Re: Fourier transform!
    δ(ω)= integral -ε/2 to ε/2 ε^-1exp(-jωt)dt


    just solve the above?
  5. DFranklin's Avatar
    • TSR Royalty
    • Location: London
    • Posts: 18,052
    Re: Fourier transform!
    Yup.
  6. mathena's Avatar
    • New Member
    • Location: coventry
    • Posts: 20
    Re: Fourier transform!
    ok thanks!!!
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