Interrelations between Channel Coding and Precoding in Transmission Strategies for Broadcast Channels and in Network Coding

广播信道传输策略和网络编码中信道编码和预编码之间的相互关系

• 批准号: 140514937
• 负责人: Professor Dr.-Ing. Martin Bossert
• 金额: --
• 依托单位: Lehrstuhl für Informationsübertragung
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2009
• 资助国家: 德国
• 起止时间: 2008-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/140514937?language=en
• 关键词: Interrelations; between; Channel; Coding; Precoding

Over the last years, the fields of precoding for the broadcast channel and network coding have developed rapidly but independently of each other. Although, the procedures and aims of both scenarios are dual in many aspects, some schemes already have been translated from one field to the other. A continuation of this line of work will lead to new approaches and also to a better understanding of the schemes per se. Coding methods for the random linear network channel based on the rank metric also developed rapidly over the last years. Based on the findings of the current projects it became obvious that there exist interdependencies between precoding, network coding, and channel coding. Therefore the joint analysis of these three areas will generate novel insights, novel results, and novel methods. Recently, a number of examples have been published where the tasks of precoding, network coding, and channel coding meet or complement each other. However, up to now, no complete picture of the interaction of these fields and combinations of the respective schemes is available. Hence, the main objective during the proposed continuation of the project is the detailed understanding of the interaction of (modulo-type) precoding, network coding, and channel coding. The aim is a joint design and optimization of schemes operating at the intersections of these three fields. First, the concatenation of differential precoding with suited (rank-metric) convolutional codes will be assessed. A design robust to channel variations is aspired. Second, the use of lattice codes in combination with or instead of precoding has to be understood in much more detail. The similarities and differences of integer forcing and lattice reduction have to be worked out in detail. Third, new designs for multiple-stream precoding and both-sided lattice reduction to be used in the wireless backhaul have to be designed. Finally, new constructions for lattice codes over different metrics based on the theory of generalized concatenated codes are required. The connection to other applications such as space-time coding will be studied.

近年来，广播信道预编码和网络编码领域发展迅速，但彼此独立。尽管这两种方案的程序和目标在许多方面都是双重的，但一些方案已经从一个领域转移到另一个领域。继续开展这一工作将带来新的方法，并更好地理解这些计划本身。基于秩度量的随机线性网络信道的编码方法在过去几年中也迅速发展。根据当前项目的发现，很明显预编码、网络编码和信道编码之间存在相互依赖性。因此，这三个领域的联合分析将产生新的见解、新的结果和新的方法。最近，已经发布了许多示例，其中预编码、网络编码和信道编码的任务相互配合或互补。然而，到目前为止，还没有这些领域的相互作用以及各个方案的组合的完整描述。因此，该项目的拟议延续期间的主要目标是详细了解（模类型）预编码、网络编码和信道编码的相互作用。目的是联合设计和优化在这三个领域交叉点运行的方案。首先，将评估差分预编码与合适的（秩度量）卷积码的串联。人们渴望一种对通道变化具有鲁棒性的设计。其次，必须更详细地理解与预编码结合使用或代替预编码的格码的使用。整数强迫和晶格约简的异同必须详细计算。第三，必须设计用于无线回程的多流预编码和双边网格缩减的新设计。最后，需要基于广义级联码理论的不同度量上的格码的新构造。将研究与空时编码等其他应用的连接。