Author(s)

Nodar Ugrelidze¹, Sergo Shavgulidze², Juergen Freudenberger³

¹School of Technology, Caucasus University, Tbilisi, Georgia.
²Faculty of Power Engineering and Telecommunications, Georgian Technical University, Tbilisi, Georgia.
³Institute for System Dynamics, HTWG Konstanz, University of Applied Sciences, Konstanz, Germany.

In this article, we give the construction of new four-dimensional signal constellations in the Euclidean space, which represent a certain combination of binary frequency-shift keying (BFSK) and M-ary amplitude-phase-shift keying (MAPSK). Description of such signals and the formulas for calculating the minimum squared Euclidean distance are presented. We have developed an analytic building method for even and odd values of M. Hence, no computer search and no heuristic methods are required. The new optimized BFSK-MAPSK (M = 5,6,···,16) signal constructions are built for the values of modulation indexes h =0.1,0.15,···,0.5 and their parameters are given. The results of computer simulations are also provided. Based on the obtained results we can conclude, that BFSK-MAPSK systems outperform similar four-dimensional systems both in terms of minimum squared Euclidean distance and simulated symbol error rate.

Signal Constellation, Minimum Squared Euclidean Distance, Modulation Index, Signal Phase, Simulation, Symbol Error Rate

Ugrelidze, N. , Shavgulidze, S. and Freudenberger, J. (2020) Four-Dimensional Signal Constellations Based on Binary Frequency-Shift Keying and M-ary Amplitude-Phase-Shift Keying. Journal of Computer and Communications, 8, 170-180. doi: 10.4236/jcc.2020.812016.