# HW5 - 3. Consider the following sampling and reconstruction...

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========================================== BIM 108 Biomedical Signals and Control Spring 2008 ========================================== Homework #5 Reading Assignment : Sections 5.4, 5.5, 6.1 (pp 252-253) 6.2 (pp 260-261), 8.1, 8.2. 2ed. Ed. Textbook 1. Consider the signal whose Fourier transform is shown in the following figure. Let x s (t)=x(t)p(t) represent the sampled signal. Draw | X s (w) | for the following cases. Please indicate whether aliasing occurs for each case. (a) T = π/15 (b) T = 2π/15 2. Repeat Problem 1. for the signal whose transform is shown in the following figure. Please indicate whether aliasing occurs for each case.

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Unformatted text preview: 3. Consider the following sampling and reconstruction configuration: The output y(t) of the ideal reconstruction can be found by sending the sampled signal x s (t)=x(t)p(t) through an ideal lowpass filter with the frequency response function. x(t) Sample at T Ideal reconstruction x[n] y(t) 10 0 -10 x(w) w 1 2 10 0 -10 x(w) w 1 Let x(t)=2+cos(50πt) and T = 0.01sec (a) Draw | X s (w) |, where x s (t)=x(t)p(t) . Determine if aliasing occurs. (b) Determine the expression for y(t) 4. Repeat Problem 3. for x(t)=2+cos(50πt) and T = 0.025sec. 0 T -0.5 w s 0.5 w s...
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## This note was uploaded on 10/15/2010 for the course BIM BIM108 taught by Professor Qiu during the Winter '09 term at UC Davis.

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HW5 - 3. Consider the following sampling and reconstruction...

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