DocumentCode :
19531
Title :
Error Performance of Multidimensional Lattice Constellations—Part II: Evaluation over Fading Channels
Author :
Pappi, Koralia N. ; Chatzidiamantis, Nestor D. ; Karagiannidis, G.K.
Author_Institution :
Electr. & Comput. Eng. Dept., Aristotle Univ. of Thessaloniki, Thessaloniki, Greece
Volume :
61
Issue :
3
fYear :
2013
fDate :
Mar-13
Firstpage :
1099
Lastpage :
1110
Abstract :
This is the second part of a two-part series of papers, where the error performance of multidimensional lattice constellations with signal space diversity (SSD) is investigated. In Part I, following a novel combinatorial geometrical approach which is based on parallelotope geometry, we have presented an exact analytical expression and two closed-form bounds for the symbol error probability (SEP) in Additive White Gaussian Noise (AWGN). In the present Part II, we extend the analysis and present a novel analytical expression for the Frame Error Probability (FEP) of multidimensional lattice constellations over Nakagami-m fading channels. As the FEP of infinite lattice constellations is lower bounded by the Sphere Lower Bound (SLB), we propose the Sphere Upper Bound (SUB) for block fading channels. Furthermore, two novel bounds for the FEP of multidimensional lattice constellations over block fading channels, named Multiple Sphere Lower Bound (MSLB) and Multiple Sphere Upper Bound (MSUB), are presented. The expressions for the SLB and SUB are given in closed form, while the corresponding ones for MSLB and MSUB are given in closed form for unitary block length. Numerical and simulation results illustrate the tightness of the proposed bounds which can be efficiently used to set the performance limits on the FEP of lattice constellations of arbitrary structure, dimension and rank.
Keywords :
AWGN channels; Nakagami channels; probability; AWGN; FEP; Nakagami-m fading channels; additive white Gaussian noise; analytical expression; arbitrary structure; block fading channels; closed-form bounds; combinatorial geometrical approach; error performance; frame error probability; infinite lattice constellations; multidimensional lattice constellations; multiple sphere lower bound; multiple sphere upper bound; parallelotope geometry; signal space diversity; symbol error probability; unitary block length; Constellation diagram; Error probability; Fading; Lattices; Upper bound; Vectors; Zinc; Multidimensional lattice constellations; Nakagami-m block fading; frame error probability (FEP); signal space diversity (SSD); sphere bounds; symbol error probability (SEP);
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOMM.2013.011613.120069
Filename :
6415952
Link To Document :
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