Tensor modulation for space-time-frequency communication systems

在过去的五年里，我们见证了人们对下一代(5G)无线通信系统的兴趣与日俱增。预计5G系统将构成这一重要电信部门的范式转变。由于5G系统必须适应的数据速率大幅增加，以及无线电频谱稀缺带来的限制，5G系统所需的带宽效率将不得不非常高。为了达到5G的要求，必须高效利用时间、频率和空间域的所有可用资源。这项研究的目标是开发一个用于空时频(STF)调制方案的张量框架，该框架不仅将有助于5G通信系统的设计，而且将为使用STF资源传输信息提供一种新的结构化方法和见解。加拿大通过其世界知名的行业，多年来一直是无线电信领域的主要参与者，在5G系统的研究中保持这一地位也很重要。这项工作解决了对5G无线通信系统发展至关重要的问题，以战略知识优势的形式为加拿大经济创造价值，这对这一重要技术领域的产品开发至关重要。 张量是一个多维数组。在所提出的框架中，STF信道符号是一个跨越时频域和空域的三维阵列。三维数组对应于3阶张量，并为使用强大的数学技术(如张量分解)提供了可能性。拟议的工作将为STF调制提供一个统一的框架，并立即应用于5G系统，并将允许开发实施此类方案所需的信号处理算法。该框架的强大数学基础还将使人们有可能对STF通信系统的主题获得重要的见解，并将影响5G及以后此类系统的设计。拟议的工作涉及将这项研究的成果用于标准化活动和5G无线通信系统设计所需的理论方面和实践问题。

In the last five years we have witnessed an increased interest in next generation (5G) wireless communication systems. It is envisaged that 5G systems will constitute a paradigm shift in this important sector of telecommunications. Because of the significant increase in data rates that 5G systems will have to accommodate and the constraints imposed by radio spectrum scarcity, the required bandwidth efficiency in 5G systems will have to be extremely high. In order to achieve the requirements for 5G, all the resources available in the time, frequency and space domains must be utilized efficiently. The objective of the proposed research is to develop a tensor framework for Space-Time-Frequency (STF) modulation schemes that not only will aid the design of communication systems for 5G, but will also provide a novel structured approach and insight to the use of STF resources for transmission of information. Canada, through its world renowned industry, has been a major player in wireless telecommunication over many years, a position that it is important to maintain also in research towards 5G systems. This work addresses issues that are critical to the development of 5G wireless communication systems, creating value for the Canadian economy in the form of a strategic knowledge advantage that is essential for the development of products in this important technological area. A tensor is a multi-dimensional array. In the proposed framework, an STF channel symbol is a three dimensional array, spanning the time frequency and space domains. A three dimensional array corresponds to a tensor of order 3, and opens the possibility of using powerful mathematical techniques, such as tensor decompositions. The proposed work will provide a unified framework for STF modulation, with immediate application to 5G systems, and will allow the development of signal processing algorithms required for implementation of such schemes. The strong mathematical foundations of this framework will also make possible to gain important insights into the subject of STF communication systems in general, and will impact the design of such systems for 5G, and beyond. The proposed work addresses theoretical aspects, as well as practical issues that are required to use the results of this research for standardization activities, and the design of 5G wireless communication systems.