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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.

Linear Block Codes - Basics 5/ 31/ 07 LDPC Codes 16 • Parameters of binary linear block code C • k = number of information bits • n = number of code bits • R = k/n • dmin = minimum distance • There are many ways to describe C • Codebook (list) • Parity-check matrix / generator matrix • Graphical representation (“Tanner graph”)

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