CONSTRUCTION OF COMPLEX NESTED IDEAL
LATTICES FOR COMPLEX-VALUED
CHANNEL QUANTIZATION
C. C. Trinca Watanabe1, J.-C. Belfiore2, E.D. De Carvalho3, J. Vieira Filho4, R. Palazzo Jr.5, R. A. Watanabe6
1 Department of Communications (DECOM)
Campinas State University
Campinas-SP, 13083-852, BRAZIL
2 Department of Communications and Electronics
Télécom ParisTech
Paris, 75013, FRANCE
3 Department of Mathematics
São Paulo State University
Ilha Solteira-SP, 15385-000, BRAZIL
4 Telecommunications Engineering
São Paulo State University
São João da Boa Vista-SP, 13876-750, BRAZIL
5 Institute of Mathematics, Statistics and
Scientific Computation (IMECC)
Campinas State University
Campinas-SP, 13083-852, BRAZIL

Abstract

In this work we develop a new algebraic methodology which quantizes complex-valued channels in order to realize interference alignment (IA) onto a complex ideal lattice. Also we make use of the minimum mean square error (MMSE) criterion to estimate complex-valued channels contaminated by additive Gaussian noise.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 4
Year: 2018

DOI: 10.12732/ijam.v31i4.4

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