Consider a rate R = 1/3 convolutional code with encoding matrix G(D) = (1 + D + D 3 1 + D 2 + D 3 1 + D + D 2 + D 3 ) that is used to communicate over the BSC with crossover probability  = 0.095. a)...

Consider a rate R = 1/3 convolutional code with encoding matrix G(D) = (1 + D + D³
1 + D²
+ D³
1 + D + D²
+ D³) that is used to communicate over the BSC with crossover probability  = 0.095.

a) Find R0 for this channel.

b) Suppose that a tail of three information symbols is used. Make an appropriate choice of integer metrics and use the stack algorithm to decode the received sequence r = 010 001 101 100 000 011 110.