David W. Jacobs, Daphna Weinshall, et al.
IEEE Transactions on Pattern Analysis and Machine Intelligence
We develop density evolution methods for evaluating the performance of Gallager's low-density parity-check (LDPC) codes over binary inter-symbol interference (ISI) channels. In contrast to previous work on memoryless channels, the noise tolerance thresholds for ISI channels depend on the transmitted sequences. The concentration statements are appropriately adjusted to reflect this difference. We compare the thresholds of regular Gallager codes over the 1 - D partial response channel to the i.i.d. information rate, showing that at high code rates, regular Gallager codes are asymptotically optimal.
David W. Jacobs, Daphna Weinshall, et al.
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sankar Basu
Journal of the Franklin Institute
A.R. Conn, Nick Gould, et al.
Mathematics of Computation
Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008