Convolutional Codes with Maximum Distance Profile

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Maximum distance profile codes are characterized by the property that two trajectories which start at the same state and proceed to a different state will have the maximum possible distance from each other relative to any other convolutional code of the same rate and degree. In this paper we use methods from systems theory to characterize maximum distance profile codes algebraically. Tha main result shows that maximum distance profile codes form a generic set inside the variety which parametrizes the set of convolutional codes of a fixed rate and a fixed degree.
15 pages, submitted to Systems and Control Letters, corrected date

Keywords

Optimization and Control, Information Theory, Rings and Algebras, 94B10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/134358

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307196
 http://arxiv.org/abs/math/0307196

Collections

arXiv