Algebraic number theory and code design for Rayleigh fading channels
Communications and Information Theory
Optimum Linear Constellation Precoding for Space Time Wireless Systems
Wireless Personal Communications: An International Journal
Analytic evaluation of target detection in heterogeneous wireless sensor networks
ACM Transactions on Sensor Networks (TOSN)
Real-valued maximum likelihood decoder for quasi-orthogonal space-time block codes
IEEE Transactions on Communications
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
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Recent work on lattices matched to the Rayleigh fading channel has shown how to construct good signal constellations with high spectral efficiency. We present a new family of lattice constellations, based on complex algebraic number fields, which have good performance on Rayleigh fading channels. Some of these lattices also present a reasonable packing density and thus may be used at the same time over a Gaussian channel. Conversely, we show that particular versions of the best lattice packings (D4, E6, E8, K12 , Λ16, Λ24), constructed from totally complex algebraic cyclotomic fields, present better performance over the Rayleigh fading channel. The practical interest in such signal constellations rises from the need to transmit information at high rates over both terrestrial and satellite links. Some further results in algebraic number theory related to ideals and their factorization are presented and the decoding algorithm used with these lattice constellations are illustrated together with practical results