ece 313 hw 3 - ECE 313 Fall 2010 Homework 3 –...

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Unformatted text preview: ECE 313 Fall 2010 Homework 3 – Due Thursday, September 30 (All book problems are from Chapter 3  copies of the problems from the book are attached. You can use MATLAB to generate plots if you want (one of the problems requires the use of MATLAB) – note that for plotting DT signals it is usually better to use the “stem” command instead of “plot.”) 1. Problem 19, p. 110, parts b, d, f. 2. Problem 22, p. 111, parts a, b, e, f, j. 3. Problem 26, p. 112, parts a, c, d, l. (Note: the function rectN[n] is defined on p. 86 (eq. 3.6) in the textbook.) 4. Plot x[ n] for −10 ≤ n ≤ 10 for each of the following cases: € (b) x[ n] = (a) x[ n] = € € (c) x[ n] = (d) x[ n] = 5. ∑δ [n − k] cos(k) k = −∞ ∞ ∑δ [n − k] cos(k) u[k] k = −∞ ∞ ∑δ [2n − k + 10] cos( k) u[ k ] k = −∞ ∞ ∑δ [n − 2k] cos( 2k) k = −∞ € Problem 34, p. 114, parts a, c, d. € ∞ € 6. Problem 35, p. 114, parts a, b, e. 7. Find the average power in each of the following DT signals: (a) € € € x [ n] = 0, n = integer multiple of 3; x [ n] = 1, otherwise. ȹ π n ȹ (b) x[ n] = A sinȹ ȹ ȹ 4 Ⱥ (c) x[ n] = A cos( π n ) ...
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