Question: Coding and Information Theory 4. (18%) (Entropy and Shannon-Fano Code) Given a sources with probabilities pi= 0.3, 0.2, 0.15,0.15, 0.1, 0.1 (1) Calculate the entropy

Coding and Information Theory 4. (18%) (Entropy and Shannon-Fano Code) Given

Coding and Information Theory

4. (18%) (Entropy and Shannon-Fano Code) Given a sources with probabilities pi= 0.3, 0.2, 0.15,0.15, 0.1, 0.1 (1) Calculate the entropy of S. (2) Find the word-lengths, average word-length, and efficiency of a binary Shannon-Fano code for S. (3) Let S have q equiprobable symbols. Find the average word-length Ly of an r-ary Shannon- Fano code for SM, and verify that --- - ,(s) as n - C

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