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Suppose an information source X represents a weighted coin toss with probability of heads equal to 0.9, and probability of tails equal to 0.1. (a) Construct a Huffman code for this source, encoding one message at a time. (This is a very simple code.) How does the average code word length compare to the entropy of the source? 1 (b) Construct a Huffman code for this source, encoding two messages at a time. (Hint: you need four codewords.) How does the average code word length (per message X) compare to the entropy of the source X?

Suppose an information source X represents a weighted coin toss with probability of heads equal to 0.9, and probability of tails equal to 0.1. (a) Construct a Huffman code for this source, encoding one message at a time. (This is a very simple code.) How does the average code word length compare to the entropy of the source? 1 (b) Construct a Huffman code for this source, encoding two messages at a time. (Hint: you need four codewords.) How does the average code word length (per message X) compare to the entropy of the source X?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Suppose an information source X represents a weighted coin toss with probability of heads equal to 0.9, and probability of tails equal to 0.1. (a) Construct a Huffman code for this source, encoding one message at a time. (This is a very simple code.) How does the average code word length compare to the entropy of the source? 1 (b) Construct a Huffman code for this source, encoding two messages at a time. (Hint: you need four codewords.) How does the average code word length (per message X) compare to the entropy of the source X? (c) Construct a Huffman code for this source, encoding three messages at a time. (Hint: you need eight codewords.) How does the average code word length (per message X) compare to the entropy of the source X?
Transcribed Image Text:Suppose an information source X represents a weighted coin toss with probability of heads equal to 0.9, and probability of tails equal to 0.1. (a) Construct a Huffman code for this source, encoding one message at a time. (This is a very simple code.) How does the average code word length compare to the entropy of the source? 1 (b) Construct a Huffman code for this source, encoding two messages at a time. (Hint: you need four codewords.) How does the average code word length (per message X) compare to the entropy of the source X? (c) Construct a Huffman code for this source, encoding three messages at a time. (Hint: you need eight codewords.) How does the average code word length (per message X) compare to the entropy of the source X?
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