Introduction to LDPC Codes - CMRR STAR
An Introduction to Low-Density Parity-Check Codes
Paul H. Siegel Electrical and Computer Engineering University of California, San Diego
5/ 31/ 07 1
? Copyright 2007 by Paul H. Siegel
Outline
? Shannon's Channel Coding Theorem ? Error-Correcting Codes ? State-of-the-Art ? LDPC Code Basics
? Encoding ? Decoding
? LDPC Code Design
? Asymptotic performance analysis ? Design optimization
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LDPC Codes
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Outline
? EXIT Chart Analysis ? Applications
? Binary Erasure Channel ? Binary Symmetric Channel ? AWGN Channel ? Rayleigh Fading Channel ? Partial-Response Channel
? Basic References
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A Noisy Communication System
INFORMATION SOURCE
TRANSMITTER
CHANNEL
RECEIVER
DESTINATION
MESSAGE
SIGNAL
RECEIVED SIGNAL
MESSAGE
NOISE SOURCE
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Channels
? Binary erasure channel BEC()
1-
0
0
?
1
1
1-
? Binary symmetric channel BSC(p)
1-p
0
0
p
p
1
1
1-p
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