Weakly-Constrained Coding with Parity-Check for Perpendicular Recording Channels

In this paper, we present an approach for designing high-capacity weakly-constrained codes with parity-check for improving the bit error rate (BER) in perpendicular recording channels. In particular, we present the design of high-capacity constraints that are matched to the maximum a posteriori (MAP) post-processor, and construct an information source that maximizes the information content according to these constraints. Using a 4-bit parity-check code, we illustrate the BER performance on perpendicular recording channels with monic-constrained PR equalization.