A k = 1, K = 3, and n = 2 convolutional code is characterized by g 1 = [001] and g 2 = [110]. 1….

A k = 1, K = 3, and n = 2 convolutional code is characterized by g1 = [001] and g2 = [110].

1. Find the transfer function of the code in the form T (Y, Z).

2. Is this code catastrophic? Why?

3. Find dfree for the code.

4. If the code is used on an AWGN channel using BPSK with hard decision Viterbi decoding, assuming Eb/N0 = 12.6 dB, find an upper bound on the average bit error probability of the code.