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The rate distortion function of a source XXX with respect to its Distortion Measure ddd, is defined for any Distortion D≥0D\ge{0}D≥0 by R(D)=minp(x^∣x):E[d(X,X^)]≤DI(X;X^)R(D)=\min_{p(\hat{x}|x):E[d(X,\hat{X})]\le D}I(X;\hat{X})R(D)=p(x^∣x):E[d(X,X^)]≤DminI(X;X^)
Distortion Rate Function
Shannon Limit
Gaussian Rate Distortion Function
Gaussian Source Maximizes Rate Distortion Function
Lossy Source-Channel Coding Theorem
R(D) is Convex in D
Rate Distortion Theorem
Differential Entropy