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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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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