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.
Lazaro, F., Paolini, E., Liva, G., Bauch, G. (2015). On the weight distribution of fixed-rate Raptor codes. Piscataway, NJ : Institute of Electrical and Electronics Engineers Inc. [10.1109/ISIT.2015.7282983].
On the weight distribution of fixed-rate Raptor codes
PAOLINI, ENRICO;
2015
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
