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Is this the correct approach?

  1. Jan 18, 2012 #1
    1. The problem statement, all variables and given/known data

    screen-capture-8-4.png

    2. Relevant equations

    Fourier transform, Gaussian filter

    3. The attempt at a solution

    First of all, someone in the class did it correctly and here's what they said: screen-capture-9-4.png










    Second of all, let me make sure I have a correct understanding of this.

    We have a 20 x 262144 matrix (note that that 262144 = 643) each row i, column j is the amplitude of the signal. We're supposed to fft and sum each row before dividing by 20, to get the average power at each frequency. Further, if you look at the code at the bottom you see that the 262144 columns are actually frequencies meant to be in a 64 x 64 x 64 matrix. So we have a 64 x 64 x 64 matrix, each index being a frequency and each containing an average power value. Find the location of the maximum power value. Do an inverse fft. Put a Gaussian filter around the frequency we found. Then look at the plot of the average signal with the filter.

    Basically correct?
     
  2. jcsd
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