- #1
thomas49th
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Homework Statement
Here is a signal
[tex]\frac{5000}{\pi}sinc^{2}(50t) + \frac{10000}{\pi}sinc^{2}(50t)cos(100t)[/tex]
Find it's Fourier transform and draw it
Homework Equations
Standard Fourier transformations
The Attempt at a Solution
Well
[tex]\frac{5000}{\pi}sinc^{2}(50t)[/tex] = triangle(w/100)
So [tex]\frac{5000}{\pi}sinc^{2}(50t) + \frac{10000}{\pi}sinc^{2}(50t)cos(100t)[/tex]
I get triangle(w/100) + 2(triangle(w+100/100)+triangle((w-100)/100)
However the answer says that there is no 2 (highlighted in red). Why note. The Fourier transform of cos(100t) is pi * [d(w+100) + d(w-100)] is it not? Where has the 2 gone?
where d is dirac
Thanks
Thomas