Jump to ContentJump to Main Navigation
Information, Physics, and Computation$
Users without a subscription are not able to see the full content.

Marc Mézard and Andrea Montanari

Print publication date: 2009

Print ISBN-13: 9780198570837

Published to Oxford Scholarship Online: September 2009

DOI: 10.1093/acprof:oso/9780198570837.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 01 April 2020

Decoding with belief propagation

Decoding with belief propagation

(p.327) 15 Decoding with belief propagation
Information, Physics, and Computation

Marc Mézard

Andrea Montanari

Oxford University Press

This chapter revisits the problem of decoding low density parity check (LDPC) codes. The maximum a posteriori probability (MAP) decoding of a bit is described as a statistical inference problem, and belief propagation is applied to its solution. The corresponding message passing procedure is analyzed in details, and the threshold noise level below which this ‘iterative decoding’ achieves perfect decoding is derived. The chapter ends with a general discussion of the relation between message passing and optimal (exact symbol MAP) decoding.

Keywords:   error correcting code, iterative decoding, belief propagation, low density parity check, LDPC, noise threshold, MAP decoding

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .