Banco de filtros e wavelets sobre corpos finitos
AUTOR(ES)
Gilson JerÃnimo da Silva Junior
DATA DE PUBLICAÇÃO
2008
RESUMO
Filter banks and wavelets are tools of Engineering, dened over complex elds, with many applications. This dissertation introduces the theory of lter banks and wavelets dened over nite elds, over cyclical and noncyclical structures. The problem of dening two-channel lter banks and wavelet decompositions over elds of characteristic two was solved, thereby providing a new perfect reconstruction condition for these structures. Applications, in the areas of data security, error correcting codes, multiplex and spread spectrum, of these new tools are suggested
ASSUNTO(S)
characteristic two filter banks wavelets wavelets daracterÃstica dois finite fields cyclic systems corpos nitos banco de ltros sistemas cÃclicos engenharia eletrica