# Chap4_Ftrans - Fourier Transform For each signal find the...

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Fourier Transform For each signal, find the Fourier transform, X( ϖ ), and then plot |X( ϖ )| (note, you may want to use MATLAB for the plot in 3.) 1. 2 . 3. 4. x(t) = cos(200t)p 4 (t) 5. x(t)=e -3t cos(10t)u(t) 6. Find the Fourier transform of the following signals. Sketch |X( ϖ )| in each case. a) b) x(t) = 2e -2t u(t) c) x(t)=5e -5t u(t) d) x(t) = e -2t cos(4t)u(t) 2 t 2 x(t) 0 -4 t 2 -2 3 x(t) 0 4 t 4 8 x(t) 0 0 2 4 x(t) 2 t

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7. Match the time responses with the corresponding frequency responses. 1. __________ 2. __________ 3. ___________ 4. __________ 5. __________ -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 0 0.5 1 1.5 2 Time (sec) x 1 (t) -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 0 0.5 1 1.5 2 x 2 (t) Time (sec) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0 0.2 0.4 0.6 0.8 1 x 3 (t) Time (sec)
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