Actas de congresos
Slepian-type Codes On A Flat Torus
Registro en:
Ieee International Symposium On Information Theory - Proceedings. , v. , n. , p. 58 - , 2000.
21578095
2-s2.0-0034448169
Autor
Costa S.I.R.
Agustini E.
Muniz M.
Palazzo R. Jr.
Institución
Resumen
Quotients of R2 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 R4, we show such graph signal sets generate [M, 4] Slepian-type cyclic codes for M = a2 + b2; a, b ∈ 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 M1-PSK and M2-PSK, M1M2 = M.
58
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