77. Códigos de Bloco Lineares Baseados em Banco de Filtros e Wavelets Cíclicos Sobre Corpos Finitos

[Linear block codes based upon filter banks and cyclic wavelets over finite fields]


This paper presents a new approach to linear block codes using cyclic filter banks and wavelets. Tree structures for encoding and decoding, based on synthesis and analysis cyclic filter banks, are presented. In some particular cases, the construction of the generator and parity-check matrices of the codes is shown. Known codes are generated from these structures, such as Hamming, Reed-Solomon and repetition codes. New types of codes are found through the design technique based on the finite field short time Fourier transform.