论文标题
压缩编码，基于AMP的解码和模拟空间耦合
Compressed Coding, AMP Based Decoding and Analog Spatial Coupling
论文作者
论文摘要
本文考虑了一种压缩编码方案，该方案将压缩传感与正向错误控制编码结合在一起。近似消息传递（AMP）用于解码该消息。基于AMP的状态演化分析，我们得出了压缩编码的性能极限。我们表明，压缩编码可以以非常低的压缩比接近高斯容量。此外，结果扩展到涉及非线性效应（例如剪辑）的系统。我们表明，当使用广义AMP解码消息时，仍然可以保持接近属性的容量。 为了达到容量，应根据曲线匹配原理设计低率的基础代码，这在实践中很复杂。取而代之的是，模拟空间耦合用于避免复杂的低速代码设计。最后，我们在多源环境中研究了耦合方案，在多源环境中，可以以分布方式实现空间耦合。许多用户可以共享整个块长度，从而减少块长度的使用者。
This paper considers a compressed-coding scheme that combines compressed sensing with forward error control coding. Approximate message passing (AMP) is used to decode the message. Based on the state evolution analysis of AMP, we derive the performance limit of compressed-coding. We show that compressed-coding can approach Gaussian capacity at a very low compression ratio. Further, the results are extended to systems involving non-linear effects such as clipping. We show that the capacity approaching property can still be maintained when generalized AMP is used to decode the message. To approach the capacity, a low-rate underlying code should be designed according to the curve matching principle, which is complicated in practice. Instead, analog spatial-coupling is used to avoid sophisticated low-rate code design. In the end, we study the coupled scheme in a multiuser environment, where spatial-coupling can be realized in a distributive way. The overall block length can be shared by many users, which reduces block length per-user.
