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.

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

Section: Chapter Questions

Problem 1PE

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Question

Can someone explain this problem step by step please? thanks

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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