Consider the rate R = 1/2 convolutional encoding matrix G(D) = (1 + D 3 + D 4 1 + D 4 ). Suppose that the encoder is used to communicate over a BSC with crossover probability . Use the list decoder...

Consider the rate R = 1/2 convolutional encoding matrix G(D) = (1 + D³
+ D⁴
1 + D⁴
). Suppose that the encoder is used to communicate over a BSC with crossover probability . Use the list decoder with L = 4 to decode the received sequence r = 11 01 10 10 11 00 10 11 10 01 01 11. Eight information bits followed by four dummy zeros have been encoded.