Consider a rate R = 1/2 convolutional code with encoding matrix G(D) = (1+D +D 2 1+D 2 ) that is used to communicate over a binary-input, 8-ary output DMC with transition probabilities P (r | v) given...

Consider a rate R = 1/2 convolutional code with encoding matrix G(D) = (1+D +D²
1+D²
) that is used to communicate over a binary-input, 8-ary output DMC with transition probabilities P (r | v) given by the following table:

Suppose that four information symbols (and a tail of two dummy zeros) are encoded.