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Question 4: A binary communication system transmits signals through an Additive White Gaussian Noise (AWGN) channel. The system can select between uncoded and code modes. In coded mode, channel coding using a linear block code is used. The generator matrix of the code is given as: 100 G = Assuming the Gaussian noise w has following probability density function (pdf): S(w) a) Construct the Maximum Likelihood decoding rule for the coded case b) Find the error probability when the specific codeword of c =[1110] is transmitted

Question 4: A binary communication system transmits signals through an Additive White Gaussian Noise (AWGN) channel. The system can select between uncoded and code modes. In coded mode, channel coding using a linear block code is used. The generator matrix of the code is given as: 100 G = Assuming the Gaussian noise w has following probability density function (pdf): S(w) a) Construct the Maximum Likelihood decoding rule for the coded case b) Find the error probability when the specific codeword of c =[1110] is transmitted

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 4: A binary communication system transmits signals through an Additive White Gaussian Noise (AWGN) channel. The system can select between uncoded and code modes. In coded mode, channel coding using a linear block code is used. The generator matrix of the code is given as: 1 0 0 1 G = 0 1 1 Assuming the Gaussian noise w has folowing probability density function (pdf): f(w) = a) Construct the Maximum Likelihood decoding rule for the coded case b) Find the error probability when the specific codeword of e = [1110] is transmitted c) Find the new error probability in question (2.b) when the Gaussian noise is replaced by a Laplacian noise with the following pdf: f(w) =
Transcribed Image Text:Question 4: A binary communication system transmits signals through an Additive White Gaussian Noise (AWGN) channel. The system can select between uncoded and code modes. In coded mode, channel coding using a linear block code is used. The generator matrix of the code is given as: 1 0 0 1 G = 0 1 1 Assuming the Gaussian noise w has folowing probability density function (pdf): f(w) = a) Construct the Maximum Likelihood decoding rule for the coded case b) Find the error probability when the specific codeword of e = [1110] is transmitted c) Find the new error probability in question (2.b) when the Gaussian noise is replaced by a Laplacian noise with the following pdf: f(w) =
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