Noisy-channel coding theorem: Difference between revisions

Revision as of 10:22, 18 May 2006

Revision as of 10:24, 18 May 2006

Line 74:

<math>

C=\lim\;\inf\;\;\max_{p^*(X_1),p^*(X_2),...}\frac{1}{n}\sum_{i=1}^nI(X_i;Y_i)

</math>

whereThe <math>p^*(X_i)</math>maximum is theattained at capacity achieving distributiondistributions forof the i<i>th</i>respective channel. That is,

<math>

C=\lim\;\inf\;\;\frac{1}{n}\sum_{i=1}^n C_i