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Math Help - fourier (power) property?

  1. #1
    diz
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    fourier (power) property?

    Hi all,

    In a course I am doing I have the following tutorial question (from a CTFS lecture):

    Let f(x) be a signal, and F(s) be is it's Fourier transform.
    What then is the Fourier transform of:
    exp(4 pi j t f(x))
    ?

    I have scoured books and the net for some property of the FT than will cover this - I'm now starting to think this question may be a typo, with f(x) intended to be outside the exp().
    To put it in some context, this question is one part of a five part question. The other four parts are all answered by straight forward use of some common Fourier property.

    I'm almost certain it is irrelevant, but I have been given a sketch of F(s) (for the CTFT of f(x) ), it can be described using a few heaviside functions as =u(s)+u(s-1)+u(s-2) -u(s-3)

    Any help or opinions would be much appreciated!
    diz.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by diz View Post
    Hi all,

    In a course I am doing I have the following tutorial question (from a CTFS lecture):

    Let f(x) be a signal, and F(s) be is it's Fourier transform.
    What then is the Fourier transform of:
    exp(4 pi j t f(x))
    ?

    I have scoured books and the net for some property of the FT than will cover this - I'm now starting to think this question may be a typo, with f(x) intended to be outside the exp().
    To put it in some context, this question is one part of a five part question. The other four parts are all answered by straight forward use of some common Fourier property.

    I'm almost certain it is irrelevant, but I have been given a sketch of F(s) (for the CTFT of f(x) ), it can be described using a few heaviside functions as =u(s)+u(s-1)+u(s-2) -u(s-3)

    Any help or opinions would be much appreciated!
    diz.
    I would put my money on a typo.

    CB
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  3. #3
    diz
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    Thanks CB.

    A typo was the scenario I went with in the end, lets see what the lecturer thinks!

    p.s. If anyone does have a 'not horribly complex' solution for this I'd be interested to know - after spending many hours on it, curiosity has me..
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