HW8 - ECEN 661 - Modulation Theory Homework #8 Assignment...

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ECEN 661 - Modulation Theory Homework #8 Assignment Date: 3/30/06 Due Date: 4/6/06 1. Analysis of DPSK. Consider the standard DPSK receiver shown above. In this problem you will directly evaluate the probability of error for this signalling format by performing the following steps: (a) Define and . Show that the decision made by the structure above is equivalent to comparing with . (b) Show that one of { , } is Rayleigh and the other is Rician depending on which data bit is sent and that an error will occur when the Rayleigh random variable is bigger than the Rician random variable. Work out exactly the forms of these distributions. (c) Find the probability that the Rician random variable is smaller than the Rayleigh random vari- able hence finding the probability of error. To do so, you will need to show that these two random variables are statistically independent 2. Coherent BPSK with Imperfect Channel Phase Information. Consider a coherent BPSK detec- tor in which the phase is imperfectly known at the receiver. That is, the channel induces a phase
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This note was uploaded on 02/21/2012 for the course ECEN 661 taught by Professor Miller during the Spring '11 term at Texas A&M.

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HW8 - ECEN 661 - Modulation Theory Homework #8 Assignment...

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