Title
An efficient decoding algorithm for cycle-free convolutional codes and its applications
Abstract
This paper proposes an efficient graph-based sum-product algorithm for decoding 1/(1+Dn) code, whose Tanner (1981) graph is cycle-free. A rigorous proof is given which shows the proposed algorithm is equivalent to the MAP decoding implementing the BCJR algorithm, but with a lower complexity magnitude. The paper presents an explicit example which confirms the claim that the sum-product algorithm is optimal on cycle-free graphs. A parallel realization is then discussed and shown to resemble low density parity check (LDPC) decoding. The paper further proposes a min-sum algorithm which is equivalent to the max-log-MAP algorithm. Prospective applications which can take advantage of the proposed decoding algorithms are discussed and simulations are provided
Year
DOI
Venue
2001
10.1109/GLOCOM.2001.965634
GLOBECOM
Keywords
Field
DocType
approximation theory,graph-based sum-product algorithm,min-sum algorithm,max-log-map algorithm,efficient decoding algorithm,cycle-free convolutional codes,ldpc decoding,low density parity check,cycle-free tanner graph,simulations,decoding algorithms,graph theory,low-complexity approximation,bcjr algorithm,map decoding,decoding,convolutional codes,approximation algorithms,geometry,bayesian methods,turbo codes
Factor graph,BCJR algorithm,Sequential decoding,Convolutional code,Berlekamp–Welch algorithm,Low-density parity-check code,Computer science,Turbo code,Algorithm,List decoding
Conference
Volume
ISSN
ISBN
2
1930-529X
0-7803-7206-9
Citations 
PageRank 
References 
5
0.61
7
Authors
3
Name
Order
Citations
PageRank
Jing Li132927.99
Krishna R. Narayanan270672.24
Costas N. Georghiades330132.18