Modern coding theory（Tom Richardson）习题答案.pdf

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M O D E R N C O D I N G T H E O R Y – S O L U T I O N S M A N U A L Preliminary version – October 28, 2008

Preliminary version – October 28, 2008

Modern Coding ¿eory – Solutions Manual B Y T . R I C H A R D S O N A N D R . U R B A N K E Cambridge University Press Preliminary version – October 28, 2008

Modern Coding ¿eory – Solutions Manual Copyright ©2008 by T. Richardson and R. Urbanke All rights reserved Library of Congress Catalog Card Number: 00–00000 isbn 0-000-00000-0 Preliminary version – October 28, 2008

C O N T E N T S 1 Introduction page 3 2 Factor Graphs page 17 3 Binary Erasure Channel page 21 4 Binary Memoryless Symmetric Channels page 41 5 General Channels page 77 6 Convolutional Codes and Turbo Codes page 81 7 General Ensembles page 89 8 Expander Codes and the Flipping Algorithm page 93 A Encoding Low-Density Parity-Check Codes page 95 B Efficient Implementation of Density Evolution page 97 C Concentration Inequalities page 101 D Formal Power Sums page 105 v Preliminary version – October 28, 2008

Preliminary version – October 28, 2008

WA R N I N G - U S E A T O W N R I S K ¿is is the solutions manual to the book . It contains contributions by (in alphabetical order) Abdelaziz Amraoui, Cyril Méasson, Vish- wambar Rathi, and Ruediger Urbanke. ¿ese notes are work in progress and change daily. To get the current version please contact ruediger.urbanke@ep.ch. Contribu- tions to make this solutions manual more complete and accurate are very welcome. If you have exercises that you are willing to share with others please send them to us. 1 Preliminary version – October 28, 2008 modern coding theory

Preliminary version – October 28, 2008

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