Problem 2. (20 points) Consider the (7,4) binary linear block code with generator matrix G as follows. 1 0 0 0 1 0 1 G =
Posted: Thu Jun 02, 2022 9:14 am
Problem 2. (20 points) Consider the (7,4) binary linear block code with generator matrix G as follows. 1 0 0 0 1 0 1 G = 0 100 1 1 1 0 0 1 0 1 10 0 0 1 0 1 1 0 (1) (6 points) Obtain the corresponding parity check matrix H such that G. HT = 0. Let m be the message vector sent from the transmitter and y be the received vector at the receiver. Let w be a random vector that reflects the impacts of noise on bitwise detection. In particular, y = mx G+w. In addition, P(W₁ = 1) = 1- P(w₂ = 0) = 0.1, Vi. Let y be the ML estimate of y. Let m be the ML estimate of m.