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Fourier transform power dependent on frequency

  1. Dec 11, 2014 #1
    1. The problem statement, all variables and given/known data
    this is something i noticed doing homework rather than homework itself. I plot fft output from different frequency signals, i am not sure why power changes with increasing frequency?

    2. Relevant equations

    if i take (with matlab notation):

    time = 0:0.01:10
    y = fft(sin(2*pi*f*time))

    with f = 5
    then the maximum amplitude of the fft output is about 498.

    with f = 10
    the maximum amplitude of fft output is 492.

    3. My attempt at a solution

    I understand the amplitude is 'halved' in both cases because this fft is ambiguous so the energy is spread over two peaks. But why is the energy less when the frequency increases? I have more cycles in the case with more frequency, but I suppose this means I have less samples. Is it usual to normalise this in some way? It seems like this is something you wouldn't want if you were dealing were plotting energy return from doppler shifts.
  2. jcsd
  3. Dec 16, 2014 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
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