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 Copyright2007. 2007by byPaul PaulH. 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 5/ 31/ 07 LDPC Codes 2. Outline EXIT Chart Analysis Applications Binary Erasure Channel Binary Symmetric Channel AWGN Channel Rayleigh Fading Channel Partial-Response Channel Basic References 5/ 31/ 07 LDPC Codes 3. A Noisy Communication System INFORMATION. SOURCE TRANSMITTER RECEIVER DESTINATION. CHANNEL. SIGNAL RECEIVED. SIGNAL. MESSAGE. MESSAGE. NOISE. SOURCE. 5/ 31/ 07 LDPC Codes 4. 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 5/ 31/ 07 LDPC Codes 5. More Channels Additive white Gaussian noise channel AWGN.

An Introduction to Low-Density Parity-Check Codes Paul H. Siegel Electrical and Computer Engineering University of California, San Diego ©©CCoopyright 2007 by Paul H. Siegelpyright 2007 by Paul H. Siegel. Outline 5/ 31/ 07 LDPC Codes 2

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