Signal Constellations with Algebraic Properties and their Application in Spatial Modulation Transmission Schemes (Schriftenreihe der Institute für Systemdynamik (ISD) und optische Systeme (IOS))

✍ Scribed by Daniel Benjamin Rohweder

• Publisher: Springer Vieweg
• Year: 2022
• Tongue: English
• Leaves: 120
• Category: Library

✦ Synopsis

Nowadays, most digital modulation schemes are based on conventional signal constellations that have no algebraic group, ring, or field properties, e.g. square quadrature-amplitude modulation constellations. Signal constellations with algebraic structure can enhance the system performance. For instance, multidimensional signal constellations based on dense lattices can achieve performance gains due to the dense packing. The algebraic structure enables low-complexity decoding and detection schemes. In this work, signal constellations with algebraic properties and their application in spatial modulation transmission schemes are investigated. Several design approaches of two- and four-dimensional signal constellations based on Gaussian, Eisenstein, and Hurwitz integers are shown. Detection algorithms with reduced complexity are proposed. It is shown, that the proposed Eisenstein and Hurwitz constellations combined with the proposed suboptimal detection can outperform conventional two-dimensional constellations with ML detection.

✦ Table of Contents

Acknowledgments
Abstract
Contents
Notation
Abbreviations
System Parameters
Number Sets and Symbols
Math Operators and Operations
1 Introduction
2 Channel Models and Transmission Scenarios
2.1 Channel Models
2.1.1 AWGN Channel
2.1.2 Rayleigh Fading Channel
2.2 The Fundamental Concept of Spatial Modulation
2.2.1 Spatial Modulation
2.2.2 Generalized Spatial Modulation
2.2.3 Generalized Multistream Spatial Modulation
2.2.4 Spatial Permutation Modulation
3 Signal Constellations with Algebraic Properties
3.1 Two-Dimensional Signal Constellations
3.1.1 Codes over Gaussian and Eisenstein Integers
3.1.2 Decoding of OMEC Codes for the AWGN Channel
3.1.3 Product Codes Based on OMEC Codes
3.1.4 LDPC Codes based on OMEC Codes
3.2 Four-Dimensional Signal Constellations
3.2.1 Quaternions and the Subset of Lipschitz and Hurwitz Integers
3.2.2 Construction of Finite Sets
3.2.3 CFM Comparison and ML Performance
3.2.4 Suboptimal Signal Detection
3.2.5 Set Partitioning
3.2.6 Multilevel Coding
3.3 Discussion
4 Spatial Modulation with Two-Dimensional Signal Constellations
4.1 Spatial Modulation
4.1.1 Known Detection Methods
4.1.2 Modified Gaussian Approximation Method
4.1.3 Computational Complexity Analysis
4.1.4 Signal Constellation Design
4.1.5 Simulation Results
4.2 Space-Time Block-Coded Spatial Permutation Modulation
4.2.1 Space-Time Block-Code Construction
4.2.2 ML Detection
4.2.3 Simulation Results
4.3 Discussion
5 Spatial Modulation with Multidimensional Signal Constellations
5.1 Generalized Suboptimal Detection
5.1.1 MGAM for GMSM
5.1.2 Detection of the Signal Points
5.1.3 Computational Complexity Analysis
5.1.4 Simulation Results
5.2 Hurwitz-Integer Signal Constellations for GMSM
5.2.1 Construction of Finite Sets
5.2.2 Suboptimal Symbol Detection with Hurwitz-Based Signal Sets
5.2.3 Computational Complexity Analysis
5.2.4 Simulation Results
5.3 OMEC Code Based GMSM Transmission
5.3.1 Decoding and Detection
5.3.2 Simulation Results
5.4 Discussion
6 Conclusions
A Bibliography