Concatenated Low-Density Parity-Check and BCH Coding System for Magnetic Recording Read Channel With 4 kB Sector Format

Abstract

In this paper, we examine the potential of applying concatenated low-density parity-check (LDPC) and Bose-ChaudhuriHocquenghem (BCH) coding for magnetic recording read channel with a 4 kB sector format. One key observation for such concatenated coding systems is that the overall error correction capability can be improved by exploiting the iteration-by-iteration bit error number oscillation behavior in case of inner LDPC code decoding failures. Moreover, assisted by field programmable gate array (FPGA)-based simulation platforms, empirical error-correcting performance analysis can reach a very low sector error rate (e.g., 10 10 and below), which is almost infeasible for LDPC-only coding systems. Finally, concatenated coding can further reduce the silicon cost. By implementing a high-speed FPGA-based perpendicular recording read channel simulator, we investigate a 4 kB rate-15/16 concatenated coding system with a 512-byte rate-19/20 inner LDPC code and an outer 4 kB BCH code. We apply a decoding strategy that can fully utilize the bit error number oscillation behavior of inner LDPC code decoding, and show that its sector error rate drops down to 10 11 . Index Terms-Application-specific integrated circuit (ASIC), BCH, concatenated, field programmable gate array (FPGA), low-density parity-check (LDPC).

A practical approach to polar codes

“…A coding scheme employed in these applications needs to show strong error correction capability. In optical fiber communications, a minimum bit error rate (BER) of at least 10 −12 is generally required [12], [13]. Here, we investigate the potentials of using polar codes in a concatenated scheme to achieve such This work was supported by the National Science Foundation under grants CCF-0830614 and ECCS-0636569.…”

On Finite-Length Performance of Polar Codes: Stopping Sets, Error Floor, and Concatenated Design

“…These networks are standardized under ITU-T Recommendation G.709, and stand for an important part of the high data-rate transmission systems such as Gigabit Ethernet and the intercontinental communication network. A minimum BER of at least 10 −13 is generally required in such systems [21], [22].…”