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.
翻译:最佳通信渠道的概念决定了我们对基于波浪的通信的理解。 但是,它的分析总是涉及特定的通信域地貌,而没有衡量法律或基本界限的一般理论。 在本条中,我们从最佳通信渠道的优势和信息能力的组合中得出一个形状独立的界限,这些优势和信息能力可以由球面隔开,任何两个领域的最佳通信渠道的优势和信息能力都可以被球面隔开。 以往的计算实验总是观察到联合优势的快速、指数衰减,但我们的界限预测着能够实现这种性能的低度、低度最佳衰变,以及具体的源/接收方分布。 我们的界限显示,域大小和配置,而不是域形状,是最大限度地增加非三维通信渠道的数量和总体信息能力的关键。 适用于一般的无线和光学通信系统,我们的界限揭示了通过电磁波的通信领域工程所可能达到的基本限制。