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.

5/ 31/ 07 LDPC Codes 14 •Solution • Long, structured, “pseudorandom” codes • Practical, near-optimal decoding algorithms •Examples • Turbo codes (1993) • Low-density parity-check (LDPC) codes (1960, 1999) • State-of-the-art • Turbo codes and LDPC codes have brought Shannon limits to within reach on a wide range of channels.

Tags:

  Code, Cpld, Ldpc codes

Information

Related search queries