# ps7 - EE 497B PROBLEM SET 7 DUE: 5 May 2008 Reading...

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EE 497B PROBLEM SET 7 DUE: 5 May 2008 Reading assignment: Ch 6, Sections 6.1 through 6.4; Ch 10 Sections 10.1 through 10.4, and 10.8 through 10.10; Ch 11 Sections 11.1, 11.5, 11.7, and 11.8. Problem 48: (10 points) In a certain digital communications system the discrete random variable B represents which of two symbols is transmitted. The range of the random variable B is S B = { B o = - μ,B 1 = μ } , where B o represents the event that the symbol ”0” is transmitted, B 1 represents the event that the symbol ”1” is transmitted, and the parameter μ is a positive constant. The transmitted signal is corrupted by channel noise N that is modeled as a Gaussian (0 ) random variable. The output of the receiver is the derived random variable R = N + B. Assume that the symbols ”0” and ”1” are equally likely to be sent, and deFne the signal-to-noise ratio as α = μ - ( - μ ) σ = 2 μ σ . The receiver decides that the symbol ”1” was transmitted when the received signal

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## This note was uploaded on 07/23/2008 for the course EE 497B taught by Professor Schiano during the Spring '08 term at Pennsylvania State University, University Park.

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ps7 - EE 497B PROBLEM SET 7 DUE: 5 May 2008 Reading...

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