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A memoryless source has the alphabet A = {-5, -3, -1,0, 1, 3, 5). with corresponding probabilities (0.05,0.1, 0.1,0.15, 0.05, 0.25, 0.3). 1. Find the entropy of the source. 2. Assuming that the source is quantized according to the quantization rule (9(-5)3Dq(-3)%3D -4 q(-1) = q(0) = q(1) =0 9(3) = q(5) = 4 find the entropy of the quantized source.

A memoryless source has the alphabet A = {-5, -3, -1,0, 1, 3, 5). with corresponding probabilities (0.05,0.1, 0.1,0.15, 0.05, 0.25, 0.3). 1. Find the entropy of the source. 2. Assuming that the source is quantized according to the quantization rule (9(-5)3Dq(-3)%3D -4 q(-1) = q(0) = q(1) =0 9(3) = q(5) = 4 find the entropy of the quantized source.

Database System Concepts
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
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A memoryless source has the alphabet A = (-5,-3,-1,0, 1,3, 5), with corresponding probabilities (0.05, 0.1, 0.1, 0.15, 0.05, 0.25, 0.3). 1. Find the entropy of the source. 2. Assuming that the source is quantized according to the quantization rule (9(-5) = q(-3) = -4 q(-1) = q(0) = q(1) = 0 (9(3)%3Dq(5)%3D4 find the entropy of the quantized source.
Transcribed Image Text:A memoryless source has the alphabet A = (-5,-3,-1,0, 1,3, 5), with corresponding probabilities (0.05, 0.1, 0.1, 0.15, 0.05, 0.25, 0.3). 1. Find the entropy of the source. 2. Assuming that the source is quantized according to the quantization rule (9(-5) = q(-3) = -4 q(-1) = q(0) = q(1) = 0 (9(3)%3Dq(5)%3D4 find the entropy of the quantized source.
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