Problem 1: A trellis-coded modulation system uses an 8-ary PAM signal set given by (t1,13,+5,t7 and the 4-state trellis encoder is given below Input C2 Uncoded bit (1) Partition the signal set into 4 subsets using the partitioning rules we discussed in class; (2) if the channel is additive Gaussian noise, and at the output of the matched filter, the following sequence is observed What is the most likely transmitted sequence? Problem 1: A trellis-coded modulation system uses an 8-ary PAM signal set given by (t1,13,+5,t7 and the 4-state trellis encoder is given below Input C2 Uncoded bit (1) Partition the signal set into 4 subsets using the partitioning rules we discussed in class; (2) if the channel is additive Gaussian noise, and at the output of the matched filter, the following sequence is observed What is the most likely transmitted sequence