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ECE · Q122

Information Theory And Coding

Engineering and GATE · ECE · question 122

Q122

A binary symmetric channel with p as transition probability, uses 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 ones, decoder decodes it as "0" otherwise as "1". An error occurs when m + 1 or more transmission out of 3 are incorrect, what is the probability of error?

A.
3p2(1 - p) + p3
Answer
B.
5p2(1 - p) + p3
C.
p3(1 - p) + p2
D.
p3(1 - p) + p2

Answer: Option A

Solution

Answer: Option A
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