A proof of the hadamard transform decoding of the belief propagation algorithm for LDPCC over GF(q)

Xiangming Li*, M. R. Soleymani

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

15 Citations (Scopus)

Abstract

LDPCC belief-propagation decoding algorithm uses a bipartite graph and sends belief messages between the variable symbols and the checks in an iterative process. The message that a check sends to a variable symbol can be calculated using Hadamard transform, as introduced in. However, the explicit proof of the correctness of the FHT implementation of the decoding algorithm has not been seen in the literature so far. In this paper, we give a proof for the FHT implementation of the decoding algorithm for LDPC codes over GF(q).

Original languageEnglish
Pages (from-to)2518-2519
Number of pages2
JournalIEEE Vehicular Technology Conference
Volume60
Issue number4
Publication statusPublished - 2004
Externally publishedYes
Event2004 IEEE 60th Vehicular Technology Conference, VTC2004-Fall: Wireless Technologies for Global Security - Los Angeles, CA, United States
Duration: 26 Sept 200429 Sept 2004

Keywords

  • Belief-propagation algorithm
  • Fast hadamard transform (FHT)
  • Low-density parity-check codes (LDPCC)

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