3 A digital communication system sends two messages, M=0 and M=1. A receiver observes a voltage signal whichcan be modeled as a Gaussian random variable, whose PDFS conditioned on the transmitted message are givenbyXỊM=0-N(0, 1) and X|M=1~N(1,1).(a) If P(M=0)=0.5, and X=0 is received, what was sent most likely, M=0 or M=1?(b) If P(M=0)=0.25, and X-0 is received, what was sent most likely, M=0 or M=1?(c) Please compare and comment on the results you obtain from (a) and (b).

Answered: Image /qna-images/answer/d15367a2-4958-469e-b80b-1e60bb58fece.jpg

A digital communication system sends two messages, M=0 and M=1. A receiver observes a voltage signal whic can be modeled as a Gaussian random variable, whose PDFS conditioned on the transmitted message are giver by XIM=0-N(0, 1) and X|M=1-N(1,1). (a) If P(M=0)=0.5, and X=0 is received, what was sent most likely, M=0 or M=1? (b) If P(M=0)=0.25, and X=0 is received, what was sent most likely, M=0 or M=1?

A digital communication system sends two messages, M=0 and M=1. A receiver observes a voltage signal whic can be modeled as a Gaussian random variable, whose PDFS conditioned on the transmitted message are giver by XIM=0-N(0, 1) and X|M=1-N(1,1). (a) If P(M=0)=0.5, and X=0 is received, what was sent most likely, M=0 or M=1? (b) If P(M=0)=0.25, and X=0 is received, what was sent most likely, M=0 or M=1?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.36P

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