New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels

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 con...

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Veröffentlicht in:Wireless communications and mobile computing 2018-01, Vol.2018 (2018), p.1-6
Hauptverfasser: Kang, Seog Geun, Li, Shuang, Liu, Jiaheng, Chen, Zhenxing
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Liu, Jiaheng
Chen, Zhenxing
description 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.
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subjects Algorithms
Codes
Communications systems
Computer simulation
Constellations
Errors
Euclidean geometry
Fading
Probability
Random noise
Upper bounds
Wireless communication systems
Wireless communications
title New 3D 16-Ary Signal Constellations and Their Symbol Error Probabilities in AWGN and Rayleigh Fading Channels
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