拓扑表面数据传输系统的一种新方法

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-04-13 DOI:10.1590/S1807-03022012000100008

J. Lima, Francisco M. Silva, E. Villareal

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引用次数: 0

摘要

本文介绍了一种新的数据传输系统，其主要模块、编码、调制和信道设计在黎曼流形上。流形(表面)的固有代数结构，同调群将用于组成纠错码，从图的嵌入中提取表面上的分区，这将组成调制设计，信道设计是将关联规则应用于嵌入图的结果。数学学科分类:初级:06B10;二级:06 d05。

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A new approach for data transmission system on topological surfaces

This work introduces a new data transmission system in which the main blocks, coding, modulation and channel are designed on a Riemannian manifolds. An intrinsic algebraic structure to the manifolds (surface), the homology group will be used to compose an error corrector code, a partition on the surface extracted from the embedding of a graph, which will compose the modulation design, and the channel design is the result of an association rule applied to the embedded graph. Mathematical subject classification: Primary: 06B10; Secondary: 06D05.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.