Unique Factorization Theory of Signals for Energy-Efficient MIMO and Cooperative Communications

用于节能 MIMO 和协作通信的独特信号分解理论

• 批准号: 352578-2013
• 负责人: Zhang, JianKang
• 金额: $ 2.11万
• 依托单位: McMaster University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=595639
• 关键词: Unique; Factorization; Theory; Signals; Energy

With the arrival of the Information Age, the explosive demand for information and knowledge exchange in our society has created two significant challenges: (a) the ever increasing demand in transmission capacity, and (b) the demand of high quality transmission. Recent developments are the multi-input multi-output (MIMO) wireless link and cooperative relay networks which, due to their potential in meeting these challenges caused by fading channels together with power and bandwidth limitations, have become two very important areas of research. Underlying the solution to these challenging problems are the techniques of space-time modulation (space-time block coding (STBC) or matrix signal design) which have been well developed for coherent MIMO and relay systems. However, efficiently attaining perfect channel state information at the receiver that is necessary for coherent detection is, in practice, a significantly challenging issue due to the rapid variation of fading coefficients. In addition, the noise in noncoherent relay systems is no longer Gaussian. Therefore, noncoherent STBC and distributed STBC are way behind coherent STBC and distributed STBC. Thus far, the systematic designs of noncoherent STBC and distributed STBC with high rate and full diversity using energy-efficient constellations are still open and challenging problems. More importantly, no progress has been made on determining the coding structure that enables the noncoherent diversity-multiplexing tradeoff to be attained. The goal of the present proposal is to establish a totally-novel mathematical tool: unique factorization theory of matrix signals, and apply it to the systematic design of energy-efficient STBC for coherent and noncoherent MIMO and cooperative communications. Specifically, the applications will be primarily concentrated on the following three areas: (1) To systematically design high rate full diversity noncoherent STBC and distributed STBC. (2) To systematically design a family of unitary STBCs that enable the noncoherent diversity-multiplexing tradeoff. (3) To systematically design high-rate full diversity collaborative nonlinear STBC with large coding gain.

随着信息时代的到来，社会对信息和知识交换的爆炸性需求带来了两个重大挑战：（a）对传输容量的不断增长的需求，以及（B）对高质量传输的需求。最近的发展是多输入多输出（MIMO）无线链路和协作中继网络，由于它们在满足这些挑战所造成的衰落信道与功率和带宽限制，已成为两个非常重要的研究领域。这些具有挑战性的问题的解决方案的基础是空时调制（空时块编码（STBC）或矩阵信号设计），已经很好地开发了相干MIMO和中继系统的技术。然而，由于衰落系数的快速变化，在接收机处有效地获得相干检测所需的完美信道状态信息在实践中是一个非常具有挑战性的问题。此外，非相干中继系统中的噪声不再是高斯的。因此，非相干STBC和分布式STBC远远落后于相干STBC和分布式STBC。到目前为止，非相干空时分组码和分布式空时分组码的系统设计与高速率和全分集使用节能星座仍然是开放和具有挑战性的问题。更重要的是，在确定能够实现非相干分集复用折衷的编码结构方面没有取得任何进展。本文的目标是建立一种全新的数学工具：矩阵信号的唯一因子分解理论，并将其应用于相干和非相干MIMO以及协作通信中的节能空时分组码的系统设计。具体而言，应用将主要集中在以下三个方面：（1）系统地设计高速率全分集非相干空时分组码和分布式空时分组码。(2)系统地设计了一系列的酉空时分组码，使非相干分集复用的折衷。(3)系统地设计了具有大编码增益的高速率全分集协作非线性空时分组码。