Computational & Applied Mathematics
On-line version ISSN 1807-0302
LIMA, João D.; SILVA, Francisco M. and VILLAREAL, Elmer R.L.. A new approach for data transmission system on topological surfaces. Comput. Appl. Math. [online]. 2012, vol.31, n.1, pp. 143-168. ISSN 1807-0302. http://dx.doi.org/10.1590/S1807-03022012000100008.
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.
Keywords : modulation; coding; graph embedding; homology group.