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Freudenberger, J. and Shavgulidze, S. (2015) New Four-Dimensional Signal Constellations From Lipschitz Integers for Transmission Over the Gaussian Channel. IEEE Transactions on Communications, 63, 2420-2427.
https://doi.org/10.1109/TCOMM.2015.2441691

has been cited by the following article:

• TITLE: Four-Dimensional Signal Constellations Based on Binary Frequency-Shift Keying and M-ary Amplitude-Phase-Shift Keying

  AUTHORS: Nodar Ugrelidze, Sergo Shavgulidze, Juergen Freudenberger

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

  JOURNAL NAME: Journal of Computer and Communications, Vol.8 No.12, December 25, 2020

  ABSTRACT: 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.