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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.

Review of Shannon’s Paper 5/ 31/ 07 LDPC Codes 12 • A pioneering paper: Shannon, C. E. “A mathematical theory of communication. Bell System Tech. J. 27, (1948). 379–423, 623–656 • A regrettable review:

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