HW6 - y ( t ). Question 5: In each of the following, we...

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ECE 301, Homework #6, due date: 10/9/2008 http://www.ece.purdue.edu/ chihw/ECE301 08F.html Question 1: p. 255, Problem 3.22(a). Do (a) and (b). Question 2: p. 255, Problem 3.22(a). Do (d) and (e). Question 3: p. 255, Problem 3.22(b) Question 4: Consider two periodic signals x 1 ( t ) and x 2 ( t ). x 1 ( t ) has period 2 and its Fourier series coefficients are α 1 = α - 1 = 2 and α k = 0 for all k 6 = ± 1. x 2 ( t ) has period 3 and its Fourier series coefficients are α 1 = j, α - 1 = - j and α k = 1 for all k 6 = ± 1. Answer the following questions. 1. Plot x 1 ( t ) and x 2 ( t ). 2. Suppose y ( t ) = x 1 ( t ) + x 2 ( t ). Find out the Fourier series coefficients of
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Unformatted text preview: y ( t ). Question 5: In each of the following, we specify the Fourier series coecients of a con-tinuous time signal that is periodic with period 4. Determine the signal x ( t ) in each case. 1. k = [ k-3] + [ k + 3] . (1) 2. k = e-2 | k | . (2) 3. Repeat the above two questions but consider the case that the period is 3 instead of 4. Question 6: p. 256, Problem 3.24 Question 7: p. 257, Problem 3.25....
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This note was uploaded on 05/02/2009 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Spring '06 term at Purdue University-West Lafayette.

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