Information theory and coding pdf ranjan bose
Information Theory, Coding And Cryptography
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This resource material is for Instructor's use only. Hence proved that entropy of a discrete source is maximum when output symbols are equally probable. The quantity D p q is called the Kullback-Leibler Distance. From 1 and 2 we can conclude after basic manipulations that I X;Y 0. Therefore Kullback Leibler distance does not follow symmetry property. Therefore Kullback Leibler distance does not follow triangle inequality property. Thus the entropy of a discrete random variable can also be infinite.