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Math Help - sinosoidal->impulse

  1. #1
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    Joined
    Apr 2008
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    6

    sinusoidal->impulse!!!!!

    in representing sinusoidal function of single frequency component in frequency domain it gives a single impulse at the given frequency
    ok i understand it physically
    but what is its mathematical proof (sinusoidal in time domain->impulse in frequency domain)

    also what is the meaning of having infinite amplitude of the function at that frequency (amplitude of the impulse=infinity)........of course this is not the amplitude of the function at that frequency

    and the next question .......in the laplace transform
    the s that makes the F(s)=infinity is the frequency component of the system
    what about the other s's ........they also give values to F(s)
    but not infinity
    so why are they not considered to be frequency components of the function
    and what are the difference between them and between the s's that make F(s)=0???

    help please because my brain is burning
    Last edited by allah's_slave; April 15th 2008 at 06:52 PM.
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