Title :
On the Distance Spectrum of Tail-Biting Repeat-Accumulate Codes
Author :
Matuz, Balázs ; Liva, Gianluigi
Author_Institution :
Inst. of Commun. & Navig., German Aerosp. Center (DLR), Wessling, Germany
fDate :
4/1/2012 12:00:00 AM
Abstract :
In this letter the impact of tail-biting (TB) on the distance spectrum of repeat accumulate (RA) codes is analyzed. The average weight enumerator (WE) functions for RA ensembles with and without TB are derived, showing that in the short and moderate block length regimes TB is effective in reducing the multiplicities of low weight codewords. Finally, the asymptotic case is discussed.
Keywords :
codes; average weight enumerator functions; distance spectrum; low weight codewords; tail-biting repeat-accumulate codes; Approximation methods; Digital video broadcasting; Error probability; Maximum likelihood decoding; Parity check codes; Systematics; RA codes; tail-biting; weight enumerator;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2012.020212.112529
