Slepian-type codes on a flat torus

被引：1

作者：

Costa, SIR ^{[1
]}

Agustini, E ^{[1
]}

Muniz, M ^{[1
]}

Palazzo, R ^{[1
]}

机构：

[1] UNICAMP, Math Inst, BR-13081970 Campinas, SP, Brazil

来源：

2000 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS | 2000年

关键词：

D O I：

10.1109/ISIT.2000.866348

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Quotients of IR2 by translation groups are metric spaces known as flat tori. We start from codes which are vertices of closed graphs on a flat torus and, through an identification of these with a 2-dimensional surface in a 3-dimensional sphere in IR4, we show such graph signal sets generate [M, 4] Slepian-type cyclic codes for IM = a(2) + b(2); a, 6 is an element of Z, gcd(a, b) = 1. The cyclic labeling of these codes corresponds to walking step-by-step on a (a, b)-type knot on a flat torus and its performance is better when compared with either the standard M-PSK or any cartesian product of M-1-PSK and M-2-PSK, M1M2 = M.

引用

页码：58 / 58

页数：1

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