a₁ 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. a₂ a3 a4 26 a5 Alphabet Probabilities 0.1 0.23 0.25 0.05 0.15 0.22 Equal Probabilities 1/6 1/6 1/6 1/6 1/6 1/6 Code 1 Code 2

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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a₁
a₂
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.
a3
a4
a5
a6
Alphabet
Probabilities
0.1
0.23
0.25
0.05
0.15
0.22
Equal
Probabilities
1/6
1/6
1/6
1/6
1/6
1/6
Code 1
Code 2
Transcribed Image Text:a₁ a₂ 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. a3 a4 a5 a6 Alphabet Probabilities 0.1 0.23 0.25 0.05 0.15 0.22 Equal Probabilities 1/6 1/6 1/6 1/6 1/6 1/6 Code 1 Code 2
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