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A transmitter using 3-fold repetition coding uses the vector to represent a 0 0. 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 [1.21] Which bit is more likely to have bit and variance 2. Suppose the receiver receives 0.18 0.71 been transmitted?

A transmitter using 3-fold repetition coding uses the vector to represent a 0 0. 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 [1.21] Which bit is more likely to have bit and variance 2. Suppose the receiver receives 0.18 0.71 been 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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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?
Transcribed Image Text: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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