EE303_Exam3_Spring2010 - p(t = cos ω t h c(t = δ(t-a Find...

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EE 303 Spring 2010 Exam 3 Answer all questions to the best of your ability. If applicable, partial credit will be given. You must show all of your work to receive full credit. 1. We have x(t) = exp(-2t)u(t). Find the Fourier Transform of the following signal (12 points). y(t) = x(t+2) + x(t-2) 2. We have the following system:
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Unformatted text preview: p(t) = cos ω t h c (t) = δ(t-a) Find X( ω ) and Y( ω ) in terms of M( ω ). (16 points) 3. Let z(t) = x(t) + 3 y(t). It is known that both x(t) and y(t) are band-limited, and X( ω ) = 0 for | ω| > 1000 radians Y( ω ) = 0 for | ω| > 1200 radians Find the Nyquist sampling rate for z(t). (6 points)...
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