Q14. The below figure shows a non-symmetric binary channel. Prove that in this case |(X,Y)=N[q+(1-p_q)a]—aN(p)-(1-a) (q) where the function (p) = plog₂ + (1 − p)log₂₁ P(0) = a P(1) 1 a 10 1-p 1-q 9 р OO O 1

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Q14. The below figure shows a non-symmetric binary channel. Prove that in this case
I(X,Y)=N[q+(1-p_q}a]-aN(p)-(1-a) (q) where the function ♫ (p) = plog₂ + (1 − p)log₂₁²/²
р
P(0) = a 0
P(1) = 1 - a
1-P
1-q
9
р
Transcribed Image Text:Q14. The below figure shows a non-symmetric binary channel. Prove that in this case I(X,Y)=N[q+(1-p_q}a]-aN(p)-(1-a) (q) where the function ♫ (p) = plog₂ + (1 − p)log₂₁²/² р P(0) = a 0 P(1) = 1 - a 1-P 1-q 9 р
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