A source has an alphabet with probabilities {0.1, 0.23, 0.25, 0.05, 0.15, 0.22). 1. Find the entropy of this source. 2. Compare this entropy with the entropy of a uniformly distributed source with the same alphabet. 3. Compute the compression ratio and the coding efficiency.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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a₁
PROBLEM
A source has an alphabet with probabilities {0.1, 0.23, 0.25, 0.05, 0.15, 0.22}.
a₂
a3
34
a5
26
CLASS WORK - HUFFMAN CODING
Alphabet
1. Find the entropy of this source.
2.
Compare this entropy with the entropy of a uniformly distributed source with
the same alphabet.
3. Compute the compression ratio and the coding efficiency.
Equal
Probabilities
0.1
0.23
0.25
0.05
0.15
0.22
Probabilities
1/6
1/6
IVIT TILURE
1/6
1/6
1/6
1/6
Code 1
Code 2
Transcribed Image Text:a₁ PROBLEM A source has an alphabet with probabilities {0.1, 0.23, 0.25, 0.05, 0.15, 0.22}. a₂ a3 34 a5 26 CLASS WORK - HUFFMAN CODING Alphabet 1. Find the entropy of this source. 2. Compare this entropy with the entropy of a uniformly distributed source with the same alphabet. 3. Compute the compression ratio and the coding efficiency. Equal Probabilities 0.1 0.23 0.25 0.05 0.15 0.22 Probabilities 1/6 1/6 IVIT TILURE 1/6 1/6 1/6 1/6 Code 1 Code 2
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