TEST BANK FOR Information, Theory, Coding and Cryptography 3rd Edition By Ranjan Bose Converted
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TEST BANK FOR Information, Theory, Coding and Cryptography 3rd Edition By Ranjan Bose (Solution Manual)-Converted
- Exam (elaborations) • 62 pages • 2021
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SOLUTIONS FOR CHAPTER 1 
Q.1.1 DMS with source probabilities : {0.30 0.25 0.20 0.15 0.10} 
Entropy H(X) = Σi 
i 
i p 
p log 1 
= 0.30 log 1/0.30 + 0.25 log 1/0.25 + …………… 
= 2.228 bits 
Q.1.2 Define D(p ⎜⎜q) = Σi 
i 
i 
i p 
q 
p log (1) 
pi, qi – probability distributions of discrete source X. 
D(p ⎜⎜q) = Σi 
i 
i 
i p 
q 
p log ≤ Σ ⎟ 
⎟⎠ 
⎞ 
⎜ ⎜⎝ 
⎛ 
− 
i i 
i 
i p 
q 
P 1 [using identity ln x ≤ x – 1] 
= 0 ) ( = − Σi 
i i q p 
∴ D(p ⎜⎜q...
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