Approximate Characterizations for the Gaussian Source Broadcast Distortion Region

作者：Tian Chao^*; Diggavi Suhas; Shamai Shlomo

来源：IEEE Transactions on Information Theory, 2011, 57(1): 124-136.

DOI：10.1109/TIT.2010.2090232

• Gaussian source
• joint source-channel coding
• squared error distortion

We consider the joint source-channel coding problem of sending a Gaussian source on a K-user Gaussian broadcast channel with bandwidth mismatch. A new outer bound to the achievable distortion region is derived using the technique of introducing more than one additional auxiliary random variable, which was previously used to derive sum-rate lower bound for the symmetric Gaussian multiple description problem. By combining this outer bound with the achievability result based on source-channel separation, we provide approximate characterizations of the achievable distortion region within constant multiplicative factors. Furthermore, we show that the results can be extended to general broadcast channels, and the performance of the source-channel separation based approach is also within the same constant multiplicative factors of the optimum.

• 出版日期2011-1
• 单位AT&T Labs