A transmitter using 3-fold repetition coding uses the vector \(\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\) to represent a 0 bit and \(\begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\) to send a 1 bit. (Suppose a priori that a 0 bit and a 1 bit are equally likely.) Over the communication channel, the transmitted vector is added to a vector consisting of independent Gaussian random variables with mean 0 and variance 2. Suppose the receiver receives \(\begin{bmatrix} 1.21 \\ 0.18 \\ 0.71 \end{bmatrix}\). Which bit is more likely to have been transmitted?

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Answered: A transmitter using 3-fold repetition…

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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