Response to the following problem:
A communication channel with binary input and ternary output alphabets is shown in Figure . The probability of the input being 0 is 0.4.
The transition probabilities are shown on the figure.
1. If the channel output is A, what is the best decision on channel input that minimizes the error probability? Repeat for the cases where channel output is B and C.
2. If a 0 is transmitted and an optimal decision scheme (the one derived in part 1) is used at the receiver, what is the probability of error?
3. What is the overall error probability for this channel if the optimal decision scheme is used at the receiver.