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3) A source can transmit only the three symbols A, B and C, with the following probabilities: P[A] = 0.9 P[B] = 0.07 and P[C] = 0.03 Group-A (a) Determine the entropy of this source. Use a calculator to simplify your answer. (b) Assuming the symbols are encoded one at a time (i.e., individually), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (c) Assuming the symbols are encoded two at a time (i.e., pair wise), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (d) What conclusion can you draw from the results obtained in Parts (a), (b), and (c)?

3) A source can transmit only the three symbols A, B and C, with the following probabilities: P[A] = 0.9 P[B] = 0.07 and P[C] = 0.03 Group-A (a) Determine the entropy of this source. Use a calculator to simplify your answer. (b) Assuming the symbols are encoded one at a time (i.e., individually), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (c) Assuming the symbols are encoded two at a time (i.e., pair wise), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (d) What conclusion can you draw from the results obtained in Parts (a), (b), and (c)?

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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3) A source can transmit only the three symbols A, B and C, with the following probabilities: P[A] = 0.9 P[B] = 0.07 and P[C] = 0.03 Group-A (a) Determine the entropy of this source. Use a calculator to simplify your answer. (b) Assuming the symbols are encoded one at a time (i.e., individually), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (c) Assuming the symbols are encoded two at a time (i.e., pair wise), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (d) What conclusion can you draw from the results obtained in Parts (a), (b), and (c)?
Transcribed Image Text:3) A source can transmit only the three symbols A, B and C, with the following probabilities: P[A] = 0.9 P[B] = 0.07 and P[C] = 0.03 Group-A (a) Determine the entropy of this source. Use a calculator to simplify your answer. (b) Assuming the symbols are encoded one at a time (i.e., individually), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (c) Assuming the symbols are encoded two at a time (i.e., pair wise), design a Huffman code and determine the average number of bits per symbol. Use a calculator to simplify your answer. (d) What conclusion can you draw from the results obtained in Parts (a), (b), and (c)?
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