Dynamical systems are no strangers in wireless communications. Our story will necessarily involve chaos, but not in the terms secure chaotic communications have introduced it: we will look for the chaos, complexity and dynamics that already exist in everyday wireless communications. We present a short overview of dynamical systems and chaos before focusing on the applications of dynamical systems theory to wireless communications in the past 30 years, ranging from the modeling on the physical layer to different kinds of self-similar traffic encountered all the way up to the network layer. The examples of past research and its implications are grouped and mapped onto the media layers of ISO OSI model to show just how ubiquitous dynamical systems theory can be and to trace the paths that may be taken now. When considering the future paths, we argue that the time has come for us to revive the interest in dynamical systems for wireless communications. It did not happen already because of the big question: can we afford observing systems of our interest as dynamical systems and what are the trade-offs? The answers to these questions are dynamical systems of its own: they change not only with the modeling context, but also with time. In the current moment the available resources allow such approach and the current demands ask for it. Reservoir computing, the major player in dynamical systems-related learning originated in wireless communications, and to wireless communications it should return.
翻译:动态系统在无线通信中并不陌生。 我们的故事必然会涉及混乱, 但从安全无序通信的术语来说, 我们的故事不会包含混乱。 我们将寻找日常无线通信中已经存在的混乱、复杂和动态: 我们将寻找日常无线通信中已经存在的混乱、复杂和动态。 我们将简单概述动态系统和混乱, 然后再侧重于动态系统理论的应用, 到过去30年无线通信的无线通信, 从物理层的建模到各种自相类似的交通, 从物理层的建模到各种自相矛盾的网络层。 过去研究及其影响的例子将会被分组, 并被映入ISO OSI 模型的媒体层: 它们不仅改变模型背景, 而且还可以追溯到现在可能走的路。 当我们考虑未来的道路时, 我们说, 时间已经到了我们重新恢复动态系统对无线通信的兴趣的时候了。 它并没有发生, 因为一个大问题: 我们能否买得起我们作为动态系统而感兴趣的观察系统以及什么是权衡? 这些问题的答案是它本身的动态系统: 它们不仅改变了模型背景, 而且还可以追溯到时间。 在考虑未来的主要动态通信系统中, 需要, 和无线路路的系统。