Adaptive Arithmetic coding. A source generates symbols from alphabet {A, B, C, D}. Probabilities of occurrence of the symbols are initially estimated as: Pr(A)=Pr(B)=0.25, Pr(C)= 0.2, and Pr(D)=0.3. After 100 generated symbols, the statistics changes to Pr(A)= 0.1, Pr(B)=0.3, Pr(C)= 0.4, and Pr(D)=0.2. After 300 symbols, statistics is: Pr(A)=0.6, Pr(B)=0.05 Pr(C)=0.1, and Pr(D)=0.25. Randomly generate a source sequence of length 500 symbols drawing the symbols from the true source distributions. That is, for the first 100 symbols, next 300 symbols, and last 100 symbols use the three distributions above, respectively. Encode this sequence using adaptive arithmetic coding that adaptively changes frequency of the source symbol occurrence every 100 symbols. Decode the sequence and compare the decoded and original sequences. Find the efficiency of the code.

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