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We consider the joint source-channel coding problem of sending a Gaussiansource on a K-user Gaussian broadcast channel with bandwidth mismatch. A newouter bound to the achievable distortion region is derived using the techniqueof introducing more than one additional auxiliary random variable, which waspreviously used to derive sum-rate lower bound for the symmetric Gaussianmultiple description problem. By combining this outer bound with theachievability result based on source-channel separation, we provide approximatecharacterizations of the achievable distortion region within constantmultiplicative factors. Furthermore, we show that the results can be extendedto general broadcast channels, and the performance of the source-channelseparation based approach is also within the same constant multiplicativefactors of the optimum.

Approximate Characterizations for the Gaussian Source Broadcast Distortion Region