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# HW14 - x t we claim that we can sample it at ω s = ω 2...

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ECE 301, Homework #14, due date: 12/01/2010 http://cobweb.ecn.purdue.edu/ chihw/10ECE301F/10ECE301F.html Question 1: [Advanced] p. 632, Problem 8.24(a). Assuming Δ = 0, find the maximum allowable value of ω M relative to T such that y ( t ) is proportional to x ( t ) cos( ω c t ). Question 2: [Basic] p. 561, Problem 7.22. Question 3: [Advanced] p. 564, Problem 7.26 but with the following modification. Let ω 2 = 2 π × 2000 and ω 1 = 2 π × 1000. So basically the sampling theorem says that the sampling frequency ω s has to be larger than 2 ω 2 . However, due to the “bandpass” nature of this particular underlying signal
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Unformatted text preview: x ( t ), we claim that we can sample it at ω s = ω 2 instead and still be able to reconstruct x ( t ) perfectly provided we follow the system described in Figure p7.26(b). Explain why we can still have perfect reconstruction in this particular case by plotting the frequency spectrum X p ( jω ) of the impulse sampling x p ( t ). What are the values of ω a and ω b ? Question 4: [Advanced] p. 565, Problem 7.27. Question 5: Do the following task. http://cobweb.ecn.purdue.edu/ ∼ chihw/10ECE301F/com/sampling.html...
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