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Fourier Transform question F o sin(10t)

  1. Jun 25, 2009 #1
    Fourier Transform of sin(10t)

    Hi all,
    Can some1 explain how to get the complex fourier transform of sin(10t)

    I understand how to steal it off a fourier transform table, but i have no idea how to do it manually.

    Any help anyone?
    Cheers
     

    Attached Files:

    Last edited: Jun 25, 2009
  2. jcsd
  3. Jun 25, 2009 #2
    The Fourier transform of a pure tone (the sine function) is two delta function, one at [tex]+\frac{10}{2\pi}[/tex] and the other at [tex]-\frac{10}{2\pi}[/tex] (I could have my [tex]{2\pi}[/tex]'s wrong). The last part of this question should be a simple sampling in the frequency domain of the transform of the function in part A.
     
  4. Jun 26, 2009 #3
    thanks for your reply.
    yeah i was way off. Thanks for the clarification
     
  5. Jun 26, 2009 #4
    Hi,
    When answering question above, you stated the need "The last part of this question should be a simple sampling in the frequency domain of the transform of the function in part A."

    I believe i have the right rule attached.

    e^(j 2pi fc t)g(t) <-> G(f-fc) (this formula is attached in jpeg)

    So, once i find the Fourier transform of the first function. I simply need to shift it by fc.

    I have had a go at it, i think its right. (answer attached)

    If you could point me in the right direction, that'd be great. cheers
     

    Attached Files:

    Last edited: Jun 26, 2009
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