Question: A two state discrete Markov source has the state transition diagram shown below: 3/4 4 S2-b 3 2/3 Let the output sequence associated with the

A two state discrete Markov source has the state transition diagram

A two state discrete Markov source has the state transition diagram shown below: 3/4 4 S2-b 3 2/3 Let the output sequence associated with the source be abaabbabaknowing that the Markov chain is stationary at the start of the sequence a) Find the stationary Probability Mass Function (PMF) and the entropy rate of the source given by H(X)- (SJH (Sn), where. ( S.) is the stationary probability of being in state Sn, and H (Sn) is the entropy of the output when in state Sn b) Find the probability of the particular sequence of outputs shown above; c) Group the source bits into blocks of 3 symbols and construct a table showing the probability of occurrence of each sequence assuming the first symbol is drawn according to the stationary PMF Compute the upper ceil of the log of the probabilities, i.e., [log and suppose we have a way of constructing a source code with the corresponding lengths |log . Find the average codeword length and compare to source Entropy A two state discrete Markov source has the state transition diagram shown below: 3/4 4 S2-b 3 2/3 Let the output sequence associated with the source be abaabbabaknowing that the Markov chain is stationary at the start of the sequence a) Find the stationary Probability Mass Function (PMF) and the entropy rate of the source given by H(X)- (SJH (Sn), where. ( S.) is the stationary probability of being in state Sn, and H (Sn) is the entropy of the output when in state Sn b) Find the probability of the particular sequence of outputs shown above; c) Group the source bits into blocks of 3 symbols and construct a table showing the probability of occurrence of each sequence assuming the first symbol is drawn according to the stationary PMF Compute the upper ceil of the log of the probabilities, i.e., [log and suppose we have a way of constructing a source code with the corresponding lengths |log . Find the average codeword length and compare to source Entropy

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