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)
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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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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