Assignment:
Consider the ternary channel and input signal described in Problem 6.2. Find the information rate through the channel.
Problem
A ternary memoryless channel has input and output alphabet Ac = Ac– = {1,2,3}, symbol period Tc = 100 ns and transition probabilities
Pc¯|c(ξ|y) = {1/y, ξ ≤ y 0, ξ > y
a) Find the probability P [c≠ c] for three-symbol words when the input message {c} has iid symbols with equally likely values.
b) Show the MAP decoding region for the codeword [222] in the code C = {111, 222, 333} with equally likely codewords.