20072ee132A_1_hwk2

20072ee132A_1_hwk2 - EE132A Spring 2007 Prof John...

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EE132A, Spring 2007 Communication Systems Prof. John Villasenor Handout# 5 TA: Choo Chin (Jeffrey) Tan Homework 2 Assigned: Monday, April 9, 2007 Due: Monday, April 16, 2007 Reading Assignment: Proakis & Salehi, chapter 3 (sections 3.1, 3.2, 3.3), and chapter 4 (sections 4.1, 4.2, 4.3). 1. Overmodulation . Consider the AM signal s(t) = A c (1 + k a A m cos(2 π f m t)) cos(2 π f c t) where the message signal m(t) = A m cos(2 π f m t) is transmitted using basic AM. (a) Find the values of μ = k a A m for which overmodulation is avoided and m(t) may be received correctly by an ideal envelope detector. (b) Suppose that μ = 2. The choice of μ causes significant overmodulation. Sketch the signal v(t) that would be produced by an ideal envelope detector receiving this overmodulated signal. Include at least one full period of m(t) in your sketch. Identify the regions where overmodulation has caused the signal to be received improperly and label the time instants that bound these regions.
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