This paper presents sets of convolutional codes with memory order four which have maximal free distance and have common nonlinear generating functions. Every code in a set has at least one feedforward coding equation that is nonlinear over a binary Galois Field. Each set has convolutional codes with rates one-half, one-third, and one-fourth. In each set, the generators of the rate one-third code include all the generators of the rate one-half code. In each set, the generators of the rate one-fourth code include all the generators of the rate one-third code. This commonality yields multi-rate code implementations with minimum logic. The focus is nonlinear convolutional codes that achieve Heller-Griesmer bound on maximum free distance.
Multi-rate convolutional codes using common nonlinear generators for memory order four
2009-03-01
270613 byte
Conference paper
Electronic Resource
English