论文标题
高斯有损灰色网络网络
The Gaussian lossy Gray-Wyner network
论文作者
论文摘要
我们认为,源编码的问题受到灰色网络的保真度标准,该网络将单个源与两个接收器通过公共通道和两个私人通道连接起来。私人通道的总和比率与公共通道的速率之间的帕累托最佳权衡是针对符合均方误差标准的共同高斯来源的特征。具体而言,可以通过选择辅助随机变量与来源共同高斯。
We consider the problem of source coding subject to a fidelity criterion for the Gray-Wyner network that connects a single source with two receivers via a common channel and two private channels. The pareto-optimal trade-offs between the sum-rate of the private channels and the rate of the common channel is completely characterized for jointly Gaussian sources subject to the mean-squared error criterion, leveraging convex duality and an argument involving the factorization of convex envelopes. Specifically, it is attained by selecting the auxiliary random variable to be jointly Gaussian with the sources.