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The Box-Minus Operator and its Application to Low-Complexity Belief Propagation Decoding

Authors:
Clevorn, T.Vary, P.
Book Title:
Proceedings of IEEE Vehicular Technology Conference (VTC-Spring)
Volume:
1
Pages:
p.p. 687 - 691
Address:
Stockholm, Sweden
Date:
May. 2005
Language:
English

Abstract

For iterative decoding of turbo codes and low-density parity check (LDPC) codes quite often log-likelihood ratios called L-values are used. A major role in the decoding algorithms is played by extrinsic information which is obtained as L-value of a modulo 2 combination of several bits. This leads in the L-domain to the so-called box-plus operation. In this paper we introduce a complementary box-minus operation. Based on it a low-complexity but powerful belief propagation algorithm for decoding of LDPC codes is described. This lookup-sum algorithm uses lookup-tables for correction functions to efficiently approximate box-plus and box-minus operations and its capabilities are demonstrated by complexity comparisons and simulation results.

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