Collaborative Research: Overcoming Technological Challenges for Spectrum Trading

不同时刻和地理位置的动态和不均匀的无线网络流量负载导致了一些频段的严重未充分利用，同时也严重拥挤了其他频段。该项目调查了宽带频谱交易中产生的许多基本和具有挑战性的技术问题，以实现频谱使用的卓越技术、经济和社会价值。该项目是跨越数学和无线网络技术的跨学科研究成果。在无线技术方面，这项研究项目的成果可以显著提高频谱效率和用户体验，同时受益于许多现实生活需求，如公共安全、远程医疗和社会服务。在数学方面，这项研究工作将导致提出更多具有现实世界应用的有趣问题，并发现解决此类问题的新工具。作为一项克服宽带频谱交易带来的技术挑战的综合调查，该项目的任务集中在三个相互关联的关键研究方向：1)新的图论问题，2)新的基于图的资源分配和效用优化，3)物理层技术和效用设计。具体地说，该项目考虑了关于图的明智划分的新问题，以及使用最小边权路径效用的加权图的最优不相交路径的新问题。针对这些问题开发的新的解决方案和工具可以应用和推广到解决宽带频谱交易中的各种资源分配和效用优化问题。此外，该项目还解决了频谱交易带来的新的基本物理层问题。这些实现问题包括宽带信道估计、动态导频配置、干扰受限导频功率控制和低复杂度宽带频谱感知。为了建立效用函数曲线，并开发更有效的宽带频谱交易的细粒度参数效应建模方法，该项目应用基于群论的方法来设计和进行详细的测试和分析，以微调包含用户体验和满意度的有效效用函数。预计研究结果还将产生强大的社会影响，并为政府制定无线通信宽带频谱交易的监管政策和技术发展提供更好的技术见解和有效指导方针。

The dynamic and uneven wireless network traffic load at different time instants and geographical locations has led to substantial underutilization of some spectrum bands while severely crowding others. This project investigates a number of fundamental and challenging technical issues that arise from broadband spectrum trading for achieving superior technical, economic, and social values of spectrum use. The project is an interdisciplinary research effort across mathematics and wireless network technologies. With respect to wireless technologies, this research project outcomes can significantly improve spectrum efficiency and user experience, while benefiting many real-life needs, such as public safety, telemedicine, and social services. On mathematics, the research effort will lead to the formulation of more interesting problems with real world applications and the discovery of new tools for solving such problems. As a comprehensive investigation to overcome technical challenges that arise from broadband spectrum trading, the project tasks focus on three inter-related key research directions: 1) new graph theory problems, 2) new graph-based resource allocation and utility optimization, and 3) physical layer techniques and utility design. Specifically, the project considers new problems on judicious partitions of graphs and new problems on optimal disjoint paths in weighted graphs using minimum-edge-weight path utility. New solutions and tools developed for such problems can then be applied and generalized for solving various resource allocation and utility optimization problems in broadband spectrum trading. Furthermore, the project addresses new fundamental physical layer issues that arise from spectrum trading. These implementation issues include broadband channel estimation, dynamic pilot placement, interference limited pilot power control, and low complexity broadband spectrum sensing. To establish utility functional curves and to develop means for modeling parametric effects in fine-granularity for more effective broadband spectrum trading, the project applies group-theory-based methodologies to design and carry out detailed tests and analysis in order to fine-tune effective utility functions that incorporate user experience and satisfaction. The research results are also expected to lead to strong social impacts and to provide better technical insights and effective guidelines on governmental regulatory policymaking and technological development regarding broadband spectrum trading for wireless communications.