Question

A communication link uses a simple repetition code for error correction, where ain information bit T)" is sent by a length-5 sequence of zeros, İ.е., 0 (0,0,0,0,0) Likewise, an information bit "I', is sent by a length-5 sequence of ones, i.e., 1 → (1,1,1,1,1). Assume that information bits "O's" and "1's" are sent with equal prob- ability and each of the 5 corresponding code bits that are transmitted are received in error independently with probability 0.01. The receiver makes a majority logic decision, where an information bit "0" is decided if 3 or more of the corresponding 5 received code bits are "Os" and an information bit "1"is decided if 3 or more of the corresponding 5 received code bits are "1s." What is the probability of information bit error for this communication link?

Answer 1