On the energy-distortion tradeoff for the Gaussian broadcast problem

The energy-distortion tradeoff for the transmission of a white Gaussian source over the additive white Gaussian broadcast channel is investigated by translating the known upper and lower bounds into the infinite bandwidth regime. While a gap continues to exist between the bounds in this regime, it is shown that in a certain region on the distortion plane, the energy difference between the best known upper and lower bounds is quantifiably small.