In order to increase the probability of correct transmission of a message over a noisy channel, a repetition code is often used. Assume that the “message” consists of a single bit, and that the...

In order to increase the probability of correct transmission of a message over

a noisy channel, a repetition code is often used. Assume that the “message”

consists of a single bit, and that the probability of a correct transmission on a

single trial is p. With a repetition code of rate 1/n, the message is transmitted a

fixed number (n) of times and a majority voter at the receiving end is used for

decoding. Assuming n = 2k + 1, k = 0, 1, 2 . . ., determine the error probability

Pe of a repetition code as a function of k.

Oct 03, 2022

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