Title :
A note on asymptotically catastrophic convolutional codes of rate (n-1)/n
Author :
Hole, Kjell Jorgen
Author_Institution :
Dept. of Inf., Bergen Univ., Norway
fDate :
9/1/1997 12:00:00 AM
Abstract :
Convolutional codes with rate R=(n-1)/n,n⩾2, are defined in terms of their minimal parity check matrices. The matrices are represented by a binary vector notation introduced by Ytrehus (1992). The upper bounds on ω0 (minimum average weight per branch) are presented. Many classes of rate (n-1)/n convolutional codes are shown to be asymptotically catastrophic
Keywords :
convolutional codes; matrix algebra; sequential codes; asymptotically catastrophic convolutional codes; binary vector notation; minimal parity check matrices; minimum average weight per branch; rate (n-1)/n convolutional codes; upper bounds; Binary sequences; Communications Society; Convolutional codes; Councils; Decoding; Hamming weight; Informatics; Parity check codes; Upper bound; Viterbi algorithm;
Journal_Title :
Communications, IEEE Transactions on