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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. Received: March 14, 2018 c © 2018 Academic Publications §Correspondence author 550 C.C. Trinca Watanabe et al AMS Subject Classification: 03G10, 06B05, 06B10, 11RXX, 13F10, 97N20

CONSTRUCTION OF COMPLEX NESTED IDEAL LATTICES FOR COMPLEX-VALUED CHANNEL QUANTIZATION