NDLI: Systematic and optimal cyclotomic lattices and diagonal space-time block code designs

Content Provider	IEEE Xplore Digital Library
Author	Genyuan Wang Huiyong Liao Haiquan Wang Xiang-Gen Xia
Copyright Year	1963
Abstract	In this correspondence, a new and systematic design of cyclotomic lattices with full diversity is proposed by using some algebraic number theory. This design provides infinitely many full diversity cyclotomic lattices for a given lattice size. Based on the packing theory and the concrete form of the design, optimal cyclotomic lattices are presented by minimizing the mean transmission signal power for a given minimum (diversity) product (or equivalently maximizing the minimum product for a given mean transmission signal power). The newly proposed cyclotomic lattices can be applied to both space-time code designs for multi-antenna systems and linear precode design for signal space diversity in single antenna systems over fast Rayleigh fading channels. Although there are some cyclotomic lattices/space-time codes existing in the literature, most of them are not optimal.
Sponsorship	IEEE Information Theory Society
Starting Page	3348
Ending Page	3360
Page Count	13
File Size	584776
File Format	PDF
ISSN	00189448
Volume Number	50
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lattices Block codes Signal design Fading Maximum likelihood decoding Linearity Additive noise Resists Euclidean distance Concrete space–time block codes Algebraic number theory cyclotomic fields cyclotomic lattices Galois theory
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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