APP Decoding of Block Codes Over Gilbert-Elliott Channels Using Generalized Weight Polynomials

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Wayne Griffiths, Hans-Jürgen Zepernick, Manora Caldera
Title: APP Decoding of Block Codes Over Gilbert-Elliott Channels Using Generalized Weight Polynomials
Conference name: IEEE Vehicular Technology Conference
Year: 2006
Pagination: 1998-2002
Publisher: IEEE
City: Melbourne
Organization: Blekinge Institute of Technology
Department: School of Engineering - Dept. of Signal Processing (*** Error ***)
School of Engineering S- 372 25 Ronneby
+46 455 38 50 00
http://www.tek.bth.se/
Authors e-mail: griffithsw@watri.org.au, hans-jurgen.zepernick@bth.se, caldera@bth.se
Language: English
Abstract: We present an a posteriori probability (APP) decoding
algorithm for binary linear block codes over a Gilbert-
Elliott channel (GEC) using generalized weight polynomials. The
proposed approach is based on a single-sweep APP decoding
technique that uses matrix multiplications. By fixing the crossover
probability in the ‘bad’ state of the GEC at fifty percent, an APP
decoding decision can be reached by evaluating trivariate polynomials
without the need for the computationally more expensive
matrix multiplications. In this case, the GEC is described by
three variables, namely, the average fade to average connection
time ratio, the burst factor, and the channel reliability factor.
These variables can easily be deduced from error sequence
measurements and hence can be related to many practical
digital communication scenarios. The polynomial approach is
demonstrated using a simple example and results of computer
simulations are presented.
Subject: Telecommunications\Coding Theory
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