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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( ).

Low-Density Parity-Check Codes 5/ 31/ 07 LDPC Codes 24 • Proposed by Gallager (1960) • “Sparseness” of matrix and graph descriptions • Number of 1’s in H grows linearly with block length

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