在具有反馈的高斯MAC上发送双变量高斯源
Sending a Bivariate Gaussian Source over a Gaussian MAC with Feedback
摘要：
本文研究了在带反馈的两用户加性高斯多址信道上传输双变量高斯信源的问题。每个发射机观察一个源组件，并试图将其描述给共同的接收机。我们感兴趣的是最小均方误差，接收器可以重建每个源组件。在“对称的情况下”，我们表明，低于一定的信号-噪声比阈值，这是由源相关性，反馈是无用的，最小的失真是通过未编码的传输实现的。对于一般的情况，我们给出了畸变对可分解性的必要条件。
英文摘要：
We consider the problem of transmitting a bivariate Gaussian source over a two-user additive Gaussian multiple-access channel with feedback. Each of the transmitters observes one of the source components and tries to describe it to the common receiver. We are interested in the minimal mean squared error at which the receiver can reconstruct each of the source components. In the ``symmetric case'' we show that, below a certain signal-to-noise ratio threshold which is determined by the source correlation, feedback is useless and the minimal distortion is achieved by uncoded transmission. For the general case we give necessary conditions for the achievability of a distortion pair.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
