Essay
Suppose an alphabet consists of 6 symbols, and the probability for each of the symbols is . (Note, )
(a) What is the entropy for this set?
(b) Draw the Shannon-Fano tree for this set. What is the average bitrate?
(c) Draw the Huffman tree for this set. What is the average bitrate?
(d) How many bits would we need without compression, assuming fixed-length codewords? What is the compression ratio, compared to the Huffman tree?
Correct Answer:
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(a)
(b),(c) In both cases:
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Correct Answer:
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(b),(c) In both cases:
(...
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