Learning Reduced Order Dynamics via Geometric Representations
Imran Nasim, Melanie Weber
SCML 2024
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.
Imran Nasim, Melanie Weber
SCML 2024
Satoshi Hada
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
F. Odeh, I. Tadjbakhsh
Archive for Rational Mechanics and Analysis
Richard M. Karp, Raymond E. Miller
Journal of Computer and System Sciences