Find the entropy of the source

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Reference no: EM131409004

A source has an alphabet {a₁, a₁, a₃, a₄} with corresponding probabilities {0.1, 0.2, 0.3, 0.4}.

1. Find the entropy of the source.

2. What is the minimum required average code word length to represent this source for error-free reconstruction?

3. Design a Huffman code for the source and compare the average length of the Huffman code with the entropy of the source.

4. Design a Huffman code for the second extension of the source (take two letters at a time). What is the average code word length? What is the average number of required binary letters per each source output letter?

5. Which is a more efficient coding scheme: the Huffman coding of the original source or the Huffman coding of the second extension of the source?

Reference no: EM131409004

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