HW6 - ECEN 661 - Modulation Theory Homework #6 Assignment...

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ECEN 661 - Modulation Theory Homework #6 Assignment Date: 3/2/06 Due Date: 3/9/06 1. A certain binary digital communication system uses a precoder which takes as input equally likely, IID bits, , and produces output bits according to . These pre- coded bits are then fed to a BPSK modulator which produces the transmitted signal, , . This signal is then received in the presence of white Gaussian noise of PSD . (a) Describe the optimum receiver for this precoded BPSK format. (b) Find the minimum distance of this signalling format and the resulting asymptotic relative effi- ciency, . (c) Assuming sequences of length , how many nearest neighbors does each transmitted sequence have? (d) Assuming sequences of length , when the receiver makes an error in favor of a nearest neighbor, on the average how many bit errors occur in the demodulated sequence? 2. Repeat problem 1 when the precoder functions according to . Suppose it is assumed that . Note that this is just differential PSK. Note also that differential detection is not the optimum receiver.
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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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HW6 - ECEN 661 - Modulation Theory Homework #6 Assignment...

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