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Math Help - Fourier Analysis

  1. #1
    Newbie
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    Oct 2011
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    Fourier Analysis

    All, I'm having some problems with a fourier analysis im doing as a coursework, we have been given waves with multiple functions to try and work out the harmonics of them.
    My three functions are:

    f1 = -5sin (2*pi*t) - sin wave part
    f2 = 21.74t-32.61 - straight line part
    f3 = 0 - horizontal straight line part

    I have worked out A0 using MATLAB and then manually to check the answer.

    My problem is that I need to pick a certain harmonic to work out manually to check the MATLAB answer with, i picked the 2nd harmonic.
    To work out A2 i get the equations:
    1/pi (-5sin(2*pi*t)cos(4*pi*t)) when 0.73 < t < 1.27
    1/pi (21.74t*cos(4*pi*t)-32.61cos(4*pi*t)) when 1.27 < t < 1.5

    Can anyone help with what im supposed to do next?
    Thanks
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  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
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    Re: Fourier Analysis

    Quote Originally Posted by gaz1984 View Post
    All, I'm having some problems with a fourier analysis im doing as a coursework, we have been given waves with multiple functions to try and work out the harmonics of them.
    My three functions are:

    f1 = -5sin (2*pi*t) - sin wave part
    f2 = 21.74t-32.61 - straight line part
    f3 = 0 - horizontal straight line part

    I have worked out A0 using MATLAB and then manually to check the answer.

    My problem is that I need to pick a certain harmonic to work out manually to check the MATLAB answer with, i picked the 2nd harmonic.
    To work out A2 i get the equations:
    1/pi (-5sin(2*pi*t)cos(4*pi*t)) when 0.73 < t < 1.27
    1/pi (21.74t*cos(4*pi*t)-32.61cos(4*pi*t)) when 1.27 < t < 1.5

    Can anyone help with what im supposed to do next?
    Thanks
    Please correct your original post so that we are not left guessing what the question is.

    For instance indicate that you have a single piecewise defined function with the break points indicated.

    CB
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