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Lipschitz Integers for Coded Modulation and Precoding

用于编码调制和预编码的 Lipschitz 整数

基本信息

批准号：
289275110
负责人：
Professor Dr.-Ing. Robert Fischer
金额：
--
依托单位：
Institut für Nachrichtentechnik (NT)
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2016
资助国家：
德国
起止时间：
2015-12-31 至 2019-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/289275110?language=en
关键词：
Lipschitz Integers Coded Modulation Precoding

项目摘要

Signal constellations are an important ingredient for digital transmission systems, directly determining their performance. Therefore, constellations have been constructed and analyzed for many years, where for instance different constellations can be compared with the constellation figure of merit introduced by Forney and Wei. Besides two-dimensional constellations, immediately motivated by QAM signaling, already at early stages higher-dimensional approaches, in particular four-dimensional signal sets, have been of interest due to their higher flexibility. Nowadays, four-dimensional signal constellations are of increasing interest in optical communications.More recently, one of the applicants found that constellations constructed by partitioning of Lipschitz integers have a figure of merit which is up to 10 dB better than the comparable two-dimensional QAM constellations [FS15]. These remarkable gains are only observed for special subsets of Lipschitz integers and not for Lipschitz integers themselves. However, until now only some examples exist and a careful analysis and study of these constellations is necessary. Therefore, we propose to analyze novel four-dimensional constructions in this project. Noteworthy, the most important classical two-dimensional constellations can be interpreted as special subsets of Lipschitz integers which might lead to a novel theory for constellations. Furthermore, methods from coded modulation constellations might help to construct even better constellations. Coded modulation based on the new constellations can improve wired, wireless, and optical communication systems. In addition, advanced equalization and precoding techniques, in particular those based on the concepts of lattice reduction and its tightly related approach of integer forcing, are based on algebraic operations and thus Lipschitz integers and their partitioning are well suited for novel methods. Thus, we expect many interesting results for the improvement of future coding and modulation for any type of digital communication system with complex-valued signal constellations.

信号星座图是数字传输系统的重要组成部分，直接决定其性能。因此，星座已经被构造和分析了很多年，其中例如不同的星座可以与由Forney和Wei引入的星座品质因数进行比较。除了直接由QAM信令激发的二维星座之外，在早期阶段，更高维的方法，特别是四维信号集，由于其更高的灵活性而受到关注。最近，申请人之一发现，通过分割Lipschitz整数构造的星座具有比可比较的二维QAM星座好10 dB的品质因数[FS 15]。这些显着的收益只观察到特殊子集的Lipschitz整数，而不是Lipschitz整数本身。然而，到目前为止，只有一些例子存在，仔细分析和研究这些星座是必要的。因此，我们建议在这个项目中分析新颖的四维结构。值得注意的是，最重要的经典二维星座可以被解释为Lipschitz整数的特殊子集，这可能会导致一个新的星座理论。此外，编码调制星座的方法可能有助于构建更好的星座。基于新星座的编码调制可以改善有线、无线和光通信系统。此外，高级均衡和预编码技术，特别是基于格约简的概念及其紧密相关的整数强制方法的技术，是基于代数运算的，因此Lipschitz整数及其划分非常适合于新颖的方法。因此，我们期待许多有趣的结果，为未来的编码和调制的任何类型的数字通信系统与复值信号星座的改进。

项目成果

期刊论文数量（5）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Low-Density Parity-Check Codes over Finite Gaussian Integer Fields

有限高斯整数域上的低密度奇偶校验码

DOI：
10.1109/isit.2018.8437456
发表时间：
2018
期刊：
2018 IEEE International Symposium on Information Theory (ISIT)
影响因子：
0
作者：
D. Rohweder;J. Freudenberger;S. Shavgulidze
通讯作者：
S. Shavgulidze

Generalized Multistream Spatial Modulation With Signal Constellations Based on Hurwitz Integers and Low-Complexity Detection

基于 Hurwitz 整数和低复杂度检测的信号星座的广义多流空间调制

DOI：
10.1109/lwc.2017.2780092
发表时间：
2018
期刊：
IEEE Wireless Communications Letters
影响因子：
6.3
作者：
J. Freudenberger;D. Rohweder;S. Shavgulidze
通讯作者：
S. Shavgulidze

Quaternion-Valued Multi-User MIMO Transmission via Dual-Polarized Antennas and QLLL Reduction

DOI：
10.1109/ict.2018.8464898
发表时间：
2018-06
期刊：
2018 25th International Conference on Telecommunications (ICT)
影响因子：
0
作者：
S. Stern;R. Fischer
通讯作者：
S. Stern;R. Fischer

Coded modulation using a 512-ary Hurwitz-integer constellation

使用 512 进制 Hurwitz 整数星座的编码调制

DOI：
10.1049/cp.2019.0925
发表时间：
2019
期刊：
45th European Conference on Optical Communication (ECOC 2019)
影响因子：
0
作者：
F. Frey;S. Stern;R. Emmerich;C. Schubert;J. K. Fischer;R. F. H. Fischer
通讯作者：
R. F. H. Fischer

Low-Complexity Detection for Generalized Multistream Spatial Modulation

DOI：
10.1109/spawc.2019.8815560
发表时间：
2019-07
期刊：
2019 IEEE 20th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
影响因子：
0
作者：
Daniel Rohweder;S. Stern;R. Fischer;S. Shavgulidze;J. Freudenberger
通讯作者：
Daniel Rohweder;S. Stern;R. Fischer;S. Shavgulidze;J. Freudenberger