Abstract
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.
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