Problem on the max-log-app algorithm

Question

Response to the following :

Apply the Max-Log-APP algorithm to Problem 1, and compare the result with the result when the BCJR is used.

Problem 1: A recursive systematic convolutional code is characterized by

G(D) = [1  1/D+1]

This code is used with antipodal signaling with ε_c = ±1 over an additive white Gaussian noise channel with noise power spectral density of N₀/2 = 2 W/Hz. It is assumed that the convolutional code is terminated at the zero state and the received sequence is given by

r = (0.3, 0.2, 1, -1.2, 1.21.7, 0.3 - 0.6)

1. Use the BCJR algorithm to determine the information sequence u.

2. Use the Viterbi algorithm to determine the information sequence u.