Subject name(Information theory and coding)

Q#2: (5 Marks) Time-varying channels. Consider a time-varying discrete memory less channel. Let Y, Yume Xl be conditionally independent given X1, X2, ..., Xa with conditional distribution given by ply|x) =11"=1 pixi| 1:). 1-P P: Pi 1-P Let X = (X1, X.... X.),Y = (Y, Y2, ...,Y..). Find max p(x) I(X; Y)