- #1
rogeralms
- 19
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Homework Statement
Determine the Fourier Transform of the function shown. Plot the result using excel, MathCad, or Matlab. See attachment for figure of triangle above x-axis from -X0/2 tp X0/2 with a max height of 1 at x=0.
Homework Equations
The answer is F(k) = X0/2 [sin(kX0/4) / (kX0/4) ]2 =X0 / 2 sinc2(kX0/4)
The Attempt at a Solution
f(x) = mx + k = Δy/x + 1 = 2/X0 X + 1, x≤0=-2/X0 X + , x≥0
F(x)= ∫-X0/2 0 (2/X0 X + 1) eikx dx + ∫0X0/2(-2/X0*X+1)eikxdx
I am very confused by the change of variables taking place in the different problems.
The PDF is the assignment as it was given. We worked problem 2 in class. I am confused by problem 1. Could someone give me a few pointers as to how to proceed, where I might have gone wrong, etc. This is due on Wed. I have not been idle but still am not quite there for a solution. Additional work is included in the Word files.
Thank you.