Open AccessNew four‐dimensional signal constellations construction
Author(s) -
Ugrelidze Nodar,
Shavgulidze Sergo,
Sordia Mariam
Publication year - 2020
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2019.0528
Subject(s) - constellation , constellation diagram , signal (programming language) , modulation (music) , keying , euclidean distance , phase shift keying , algorithm , amplitude and phase shift keying , mathematics , computer science , minimum shift keying , quadrature amplitude modulation , telecommunications , topology (electrical circuits) , channel (broadcasting) , bit error rate , artificial intelligence , physics , acoustics , combinatorics , astronomy , programming language
In this study, the authors present new four‐dimensional signal constellations constructed based on combinations of binary frequency shift keying and M ‐ary phase‐shift keying. Such a system contains two sub‐constellations and phase shift keying modulation is carried out based on two different frequencies. They obtained an analytical expression for calculating of squared Euclidean distance for different signal constellations. The new method of system construction and optimisation is presented with the help of this formula. Having used this method for various signal constellations and modulation indexes, they constructed optimised systems. In tables, they present the parameters for signal constellation sizes 4, 5, …,16 and modulation indexes 0.1, 0.2, …,1. Such signal constellations can be used in MIMO systems and, in particular, in generalised multi‐stream spatial modulation systems.