# HW1 - (a) ∑ ∞ n =-∞ Π(2[ t-n ]) (b) tu ( t ) (c) t...

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ECE 402: Communications Engineering Homework 1 (Fall 2009) Due: Tuesday 9/8 1. Find the Fourier Series (in complex exponential form) for a fully-rectiﬁed cosine wave: x ( t ) = | cos(2 πt ) | , Show all work. Hint: Be careful ﬁnding the period! 2. Evaluate Z -∞ Λ( t )comb 1 / 2 ( t ) dt . 3. Find the Fourier Transform of x ( t ) = Λ( t )comb 1 / 2 ( t ) . 4. Classify each of the following signals as a power signal, an energy signal, or neither. For a power signal, ﬁnd the normalized power; for an energy signal, ﬁnd the normalized energy.
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Unformatted text preview: (a) ∑ ∞ n =-∞ Π(2[ t-n ]) (b) tu ( t ) (c) t Π( t ) 5. Project 1, Chapter 1: Consider the periodic full-wave rectiﬁed cosine signal: x ( t ) = | cos(2 πt ) | . (a) Sketch the signal. What is the period? (Careful!) (b) Find the Fourier Series in complex exponential form. (c) Use MATLAB to plot one period of this signal, along with the Fourier Series using only the terms-3 ≤ n ≤ 3. Label your plot. Turn in your code and your plot. 1...
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## This note was uploaded on 01/28/2012 for the course ECE 402 taught by Professor Townsend during the Fall '08 term at N.C. State.

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