# hw4 - signal x t Part a a k = δ k-3 δ k 3 Part b a k =...

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ECE 301 HW4 Due: 7/5/10 Problem 1 Pg 255, Problem 3.22(b) Problem 2 Pg 255, Problem 3.22(c) Problem 3 Consider two periodic signals, x 1 ( t ) and x 2 ( t ). Signal x 1 ( t ) has period 2 and Fourier Series coeﬃcients a 1 = a - 1 = 2 and all other a k = 0. Signal x 2 ( t ) has period 3 and Fourier Series coeﬃcients a 1 = j , a - 1 = - j and all other a k = 1. Part a: Plot x 1 ( t ) and x 2 ( t ). Part b: Let y ( t ) = x 1 ( t ) + x 2 ( t ). Find the Fourier Series coeﬃcients of y ( t ). Problem 4 Given the Fourier Series coeﬃcients of a continuous-time signal that is periodic with period 4, ﬁnd the

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Unformatted text preview: signal, x ( t ). Part a: a k = δ [ k-3] + δ [ k + 3] Part b: a k = e-2 | k | 1 Problem 5 Pg 256, Problem 3.23(a,b) Problem 6 Pg 256, Problem 3.23(c,d) Problem 7 Pg 256, Problem 3.24 Problem 8 Pg 257, Problem 3.25 Problem 9 Pg 257, Problem 3.29(a,c) Problem 10 Pg 257, Problem 3.30(a,b) Problem 11 Given x [ n ] = (-1) n , ﬁnd the Fourier Series coeﬃcients, a k . State the period explicitly. 2...
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## This note was uploaded on 02/14/2012 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Fall '06 term at Purdue.

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hw4 - signal x t Part a a k = δ k-3 δ k 3 Part b a k =...

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