On broadcast channels with side information under fidelity criteria

In this paper we define the rate distortion functions for the memoryless broadcast channels when side information about the source is provided at both the encoder and the decoder. Basic equations and the Variational equations are obtained under two different situations, the most general situation being the case of fidelity criterion acting along the main channel only whereas in the second situation fidelity criteria act along both the main as well as the side channel. The forms of the Variational equations for Gaussian Channel under squared error fidelity criterion and the convexity of the rate distortion functions in both the cases have also been discussed.