通过高斯MAC发送双变量高斯源
Sending a Bi-Variate Gaussian Source over a Gaussian MAC
摘要：
我们考虑一个问题，其中一个无记忆的双变量高斯源是要发送的加性白高斯多址信道与两个发送端和一个接收端。第一发射器仅看到第一源分量，并且第二发射器仅看到第二源分量。我们感兴趣的是在这对均方误差失真的接收终端可以重现每个源组件。它表明，在对称的情况下，低于一定的信噪比（SNR）阈值，这是由源相关性，未编码的通信是最佳的。对于SNR高于此阈值，我们提出了可实现的失真的外部和内部边界。
英文摘要：
We consider a problem where a memoryless bi-variate Gaussian source is to be transmitted over an additive white Gaussian multiple-access channel with two transmitting terminals and one receiving terminal. The first transmitter only sees the first source component and the second transmitter only sees the second source component. We are interested in the pair of mean squared-error distortions at which the receiving terminal can reproduce each of the source components. It is demonstrated that in the symmetric case, below a certain signal-to-noise ratio (SNR) threshold, which is determined by the source correlation, uncoded communication is optimal. For SNRs above this threshold we present outer and inner bounds on the achievable distortions.
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