A source has an alphabet {aj, a2, az, as} with corresponding probabilities (0.1, 0.2, 0,5, 0.2). 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 required binary letters per each source output letter? 5. Which one is a more efficient coding scheme, Huffman coding of the original source or Huffman coding of the second extension of the source?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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A source has an alphabet {a, a2, az, as} with corresponding probabilities {0.1,
0.2, 0.5, 0.2).
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
required binary letters per each source output letter?
5. Which one is a more efficient coding scheme, Huffman coding of the original
source or Huffman coding of the second extension of the source?
Transcribed Image Text:A source has an alphabet {a, a2, az, as} with corresponding probabilities {0.1, 0.2, 0.5, 0.2). 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 required binary letters per each source output letter? 5. Which one is a more efficient coding scheme, Huffman coding of the original source or Huffman coding of the second extension of the source?
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