Minimum Energy Analysis for Robust Gaussian Joint Source-Channel Coding with a Square-Law Profile

A distortion-noise profile is a function indicating the maximum allowed source distortion value for each noise level in the channel. In this paper, the minimum energy required to achieve a distortion noise profile is studied for Gaussian sources transmitted over Gaussian channels. Previously known lower and upper bounds for the minimum required energy to achieve the square-law profile are improved using a family of lower bounds and our proposed coding scheme.