Assignment:
Find the asymptotic coding gain for an 8-state trellis-coded modulation scheme having the following features. The coded modulation is 8-PSK. and the un coded reference is 4-PSK. The trellis structure is formed from time tkto time tk in the following way: Number the states (from top to bottom) with the arbitrary designations 1-8. Then. connect each of the states 1, 3. 5, and 7 at time tk to states 1-4 at time tk+1. Similarly, connect each of the states 2, 4, 6, and 8. at time tk, to states 5-8, at time tk+1. Next, draw three sections (time intervals) of the trellis structure. Then, make waveform assignments to branches, and search for the shortest error path.
Provide complete and step by step solution for the question and show calculations and use formulas.