Abstract
Two three-dimensional (3D) 16-ary signal constellations having extended lattice structures are presented in this paper. The theoretical symbol error probabilities (SEPs) of the new constellations in additive white Gaussian noise (AWGN) and Rayleigh fading channel are derived. Computer simulation confirms that the closed-form expressions for average SEPs of the constellations in the AWGN channel are very accurate. The theoretical SEP upper bounds in the Rayleigh fading channel are very tight. Since the presented constellations have larger minimum Euclidean distance (MED) than the conventional one, error performance can be improved up to 0.9 dB in an AWGN environment. Hence, the proposed constellations and their theoretical analysis can be used as a reference for the development of a wireless communication system with 3D signal constellations.
Highlights
A signal constellation is one of the essential components to form a digital communication system
We present two 3D 16-ary signal constellations having extended lattice structures for future wireless communications
The error performance obtained by computer simulation is very tightly bounded by the theoretical symbol error probabilities (SEPs) upper bounds derived in (19) and (22)
Summary
A signal constellation is one of the essential components to form a digital communication system. The 3D 16-ary constellations based on the regular hexahedron were presented in [7, 8] They had a dual lattice configuration called cube-incube geometry. We present two 3D 16-ary signal constellations having extended lattice structures for future wireless communications. The presented constellations are not perfectly symmetric with respect to the origin, they have larger MEDs than the dual lattice configuration reported in [8]. We consider a lattice structure obtained by extending the regular hexahedron for simple design and analysis.
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