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LTI System Problem

  • #1
How do you represent the Fourier transform of a periodic signal as the input in a LTI system?
More precisely, a sequence of triangle pulses symmetric to the origin.


I know what the Fourier transform is 2\pi (sum (Xn delta(omega - (n)omega0)))

I was told to reduce the Xn to constants, but can't figure how to reduce the n omega0.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
760
69
This may not help you, but you may obtain the Fourier transform of a triangle pulse using the transform of a rectangular pulse and the convolution theorem. The convolution of two rectangular pulses is a triangular pulse.
 
  • #3
79
0
[itex]X(n)=\frac{1}{T}\int_{t_0}^{t_0+T} f(n)e^{-i2\pi nt/T}[/itex]
 

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