On the weight distribution of fixed-rate Raptor codes

Publikationstyp
Conference Paper
Date Issued
2015-09-28
Sprache
English
Author(s)
Lazaro, Francisco  
Paolini, Enrico  
Liva, Gianluigi  
Bauch, Gerhard  
Institut
Nachrichtentechnik E-8  
TORE-URI
http://hdl.handle.net/11420/3287
Volume
2015
Start Page
2880
End Page
2884
Article Number
7282983
Citation
IEEE International Symposium on Information Theory - Proceedings : 7282983 (2015-09-28)
Contribution to Conference
IEEE International Symposium on Information Theory (2015)  
Publisher DOI
10.1109/ISIT.2015.7282983
Scopus ID
2-s2.0-84969835338
In this paper Raptor code ensembles with linear random precodes in a fixed-rate setting are considered. An expression for the average distance spectrum is derived and this expression is used to obtain the asymptotic exponent of the weight distribution. The asymptotic growth rate analysis is then exploited to develop a necessary and sufficient condition under which the fixed-rate Raptor code ensemble exhibits a strictly positive typical minimum distance.