AuthorsK. Hole
TitleOn classes of convolutional codes that are not asymptotically catastrophic
AfilliationSimula@UiB, Communication Systems
Project(s)Simula UiB
StatusPublished
Publication TypeJournal Article
Year of Publication2000
Journal IEEE Transactions on Information Theory
Volume46
Issue2
Pagination663-669
PublisherIEEE
KeywordsBit error rate, Convolutional codes
Abstract

The author denotes by w0 the minimum average weight per edge over all nonzero cycles in the state diagram for a convolutional code, and assumes that a technique is available for generating canonical parity-check matrices for codes with increasing degree m. The obtained class of codes is asymptotically catastrophic if w0 approaches zero for large m. We prove the existence of convolutional code classes that are not asymptotically catastrophic by providing explicit constructions of codes with nonzero w0 for all m

DOI10.1109/18.825838
Citation Key24225