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Fourier transform of triangular function

  1. Aug 15, 2007 #1
    Im kind of stuck in one of my signals problems. A triangular function defined as: V(t)= (-A/T)t + A when 0< t< T; V(t)= (A/T)t + A when -T< t< 0; otherwise, the function is 0. I have to find the fourier transform of this function. Could anyone help me??
     
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  3. Aug 15, 2007 #2

    chroot

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    A triangle function is the convolution of two rectangle functions. You presumably already know what the FT of a rectangle function is, and you know how convolution in the time domain relates to multiplication in the Fourier domain.

    - Warren
     
    Last edited: Aug 15, 2007
  4. Aug 15, 2007 #3
    thank you for ur time, warren, but im still having problems with it. The problem is, even though i know, as you say before, that a triangle function is the convolution of two rect functions, i dont know how to identify which rect functions are related to this particular example.
    thank you again, Alex
     
  5. Aug 15, 2007 #4

    chroot

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    Plot the triangle function, and look at its endpoints. Notice that when you convolve two functions with endpoints (a, b) and (c, d), the resulting convolution has endpoints (a+b, c+d).

    - Warren
     
  6. Aug 15, 2007 #5
    Thanks again
    Alex
     
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