A binary symmetric channel with p as transition probability, users repetition code ‘n’ times, with n = 2m + 1 being an odd integer. In a block of n bits, if the number of zeros exceed number of decoder decodes it as ‘0” otherwise as “ 1”. An error occurs when m + 1 or more transmissions out 3 are incorrect. What is the probability of error?

A binary symmetric channel with p as transition probability, users rep

1.	A binary symmetric channel with p as transition probability, users repetition code ‘n’ times, with n = 2m + 1 being an odd integer. In a block of n bits, if the number of zeros exceed number of decoder decodes it as ‘0” otherwise as “ 1”. An error occurs when m + 1 or more transmissions out 3 are incorrect. What is the probability of error?
A.	3p2 (1 –p) +p3
B.	5p2 (1 –p) +(1/3)p3
C.	2p (1 –p) +p2
D.	p3 (1 –p) +p2
Answer» B. 5p2 (1 –p) +(1/3)p3

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