The design of protograph LDPC codes for two-dimensional magnetic recording channels

This paper investigates the performance of the protograph based low-density parity-check (LDPC) codes for two dimensional (2D) inter symbol interference (ISI) channels with magnetic recording density . The protograph LDPC codes have been shown to possess excellent error performance over AWGN channel and over partial response channel. Moreover, the protograph structure that realizes linear encoding and decoding allows high-speed encoding and decoding implementations. We further proposes a protograph LDPC code for 2D ISI channel with the help of extrinsic information transfer (EXIT) chart fitting and asymptotic ensemble weight enumerators. Analysis and simulation results show that the proposed code has performance gain both in low- and high-SNR regions over previously optimized irregular LDPC codes for 2D ISI channels.