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Unformatted text preview: Problem 3 The code you constructed in Problem 2 can be improved by considering pairs oF letters. Assume that the source generating letters is memoryless. Thus the probability oF occurence, For example, oF the sequence AB is 0.02, which is the product oF probailities oF occurence oF A and oF B separately. (a) Construct a new alphabet consisting of all possible pairs of letters from Problem 1. (b) Compute the entropy of the alphabet. (c) Construct a HoFman code for this new alphabet. (d) Calculate the average length of codewords in (c). (e) De±ne the e²ciency of the code as the ratio of the entropy of the alphabet and the average length of codewords. Compare the e²ciency of the code from Problem 2 with the e²ciency of the code in (c). 2...
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 Spring '05
 JOHNSON
 DNA, Code word, Braille

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