论文标题
沟通渠道及其信息能力的耦合优势的界限
Bounds on the Coupling Strengths of Communication Channels and Their Information Capacities
论文作者
论文摘要
最佳沟通渠道的概念塑造了我们对基于波浪的交流的理解。但是，它的分析始终与特定的交流域几何形状有关，而没有扩展定律或基本限制的一般理论。在本文中，我们在任何两个域的最佳通信通道的耦合强度和信息能力上得出了与形状无关的边界，这些域可以通过球形表面分离。以前的计算实验始终观察到耦合强度的快速，指数的衰减，但是我们的边界预测，可以实现此类性能的较慢，亚指数最佳衰减和特定的源/接收器分布。我们的边界表明，域的大小和配置，而不是域形，是最大化非平凡通信渠道和总信息能力的关键。适用于一般无线和光学通信系统，我们的边界揭示了通过工程电磁波的通信域的基本限制。
The concept of optimal communication channels shapes our understanding of wave-based communication. Its analysis, however, always pertains to specific communication-domain geometries, without a general theory of scaling laws or fundamental limits. In this article, we derive shape-independent bounds on the coupling strengths and information capacities of optimal communication channels for any two domains that can be separated by a spherical surface. Previous computational experiments have always observed rapid, exponential decay of coupling strengths, but our bounds predict a much slower, sub-exponential optimal decay, and specific source/receiver distributions that can achieve such performance. Our bounds show that domain sizes and configurations, and not domain shapes, are the keys to maximizing the number of non-trivial communication channels and total information capacities. Applicable to general wireless and optical communication systems, our bounds reveal fundamental limits to what is possible through engineering the communication domains of electromagnetic waves.
