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A Tensor Based Framework for Multi-Domain Communication Systems
IEEE Open Journal of the Communications Society Pub Date : 2020-04-13 , DOI: 10.1109/ojcoms.2020.2987543
Adithya Venugopal , Harry Leib

The demand for mobile data is likely to grow at a pace more than envisaged in the coming years. Further, as applications such as the Internet of Things (IoT) come to fruition, there will be increased diversity in the types of devices demanding Internet connectivity and their requirements. Significant increase in data rate requirements is also expected due to services such as Ultra High Definition (UHD) video streaming and cloud computing. To meet all these demands, physical layer waveform candidates for future generations of communications need to be robust and inherently capable of extending into multiple domains (space, time, frequency, users, transmission media, code etc.) to ensure efficient utilization of resources. Multiple domains can be innately integrated into the design process of modulation schemes by using tensors, which are multi-way arrays. This paper introduces a unified tensor framework, providing a foundation for multi-domain communication systems that can be used to represent, design and analyse schemes that span several domains. Transmitted signals are represented by $N$ th order time function tensors which are coupled, using a system tensor of order $N+M$ , with the received signals which are represented by another tensor of order $M$ through the contracted convolution. We begin with the continuous time representation of the tensor system model and present both the strict multi-domain generalization of the Nyquist criterion for zero interference (inter-tensor and intra-tensor interference) as well as a relaxation. We present an equivalent discrete time system model, and as an example of using the tensor framework we derive tensor based linear equalization methods to combat multi-domain interference. An application to multi-user MIMO-GFDM illustrates the utility of this novel framework for derivation of joint domain signal processing techniques.

中文翻译:

基于Tensor的多域通信系统框架

对移动数据的需求可能会以超出未来几年预期的速度增长。此外,随着诸如物联网(IoT)之类的应用程序的出现,要求互联网连接及其要求的设备类型将越来越多样化。由于诸如超高清(UHD)视频流和云计算之类的服务,预计数据速率要求也将大大提高。为了满足所有这些需求,用于下一代通信的物理层波形候选必须强大并且固有地能够扩展到多个域(空间,时间,频率,用户,传输媒体,代码等)以确保资源的有效利用。通过使用张量,可以将多个域固有地集成到调制方案的设计过程中,这是多路阵列。本文介绍了一个统一的张量框架,为可用于表示,设计和分析跨越多个域的方案的多域通信系统提供了基础。发射信号用 $ N $ 使用阶次系统张量耦合的阶次时间函数张量 $ N + M $ ,其中接收到的信号由另一个张量表示 $ M $ 通过收缩卷积。我们从张量系统模型的连续时间表示开始,并给出了零干扰(张量间和张量内干扰)的奈奎斯特准则的严格多域一般化以及松弛。我们提出了一个等效的离散时间系统模型,并以使用张量框架为例,推导了基于张量的线性均衡方法来对抗多域干扰。应用于多用户MIMO-GFDM的示例说明了此新颖框架用于推导联合域信号处理技术的实用性。
更新日期:2020-04-13
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