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Joint Source–Channel Coding for Broadcasting Correlated Sources

机译：广播相关源的联合源-信道编码

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This paper studies lossy transmission of a memoryless bivariate Gaussian source over a bandwidth-mismatched memoryless Gaussian broadcast channel with two receivers, where each receiver is interested in reconstructing only one source component. For both bandwidth expansion and compression regimes, novel hybrid digital/analog (HDA) coding schemes are proposed. With appropriate choice of parameters, our schemes are shown to specialize to separate source–channel coding studied by Gao and Tuncel, and is, therefore, superior to it in both bandwidth regimes. Our scheme for bandwidth expansion also outperforms the HDA coding scheme of Behroozi et al. On the other hand, if a proposed conjecture (supported by numerical observations) is indeed true, the same superiority follows for the bandwidth compression regime as well. Finally, when the bandwidth expansion/compression ratio approaches 1, both of our schemes become optimal as their performance approaches that of the bandwidth-matched scheme of Tian et al.
机译：本文研究了具有两个接收器的带宽不匹配的无记忆高斯广播信道上无记忆双变量高斯源的有损传输，其中每个接收器仅对重构一个源分量感兴趣。对于带宽扩展和压缩方案，提出了新颖的混合数字/模拟（HDA）编码方案。通过适当选择参数，我们的方案显示出专门用于分离由Gao和Tuncel研究的源-信道编码，因此在两种带宽方式下均优于它。我们的带宽扩展方案也优于Behroozi等人的HDA编码方案。另一方面，如果提出的猜想（由数字观测结果支持）确实是正确的，则带宽压缩机制也具有相同的优势。最后，当带宽扩展/压缩比接近1时，我们的两个方案都将达到最佳性能，因为它们的性能接近Tian等人的带宽匹配方案。

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