High-Rate Short-Block LDPC Codes for Iterative Decoding with Applications to High-Density Magnetic Recording Channels

TL;DR

This paper introduces the T/SPC high-rate LDPC code, which offers improved performance and lower complexity for iterative decoding in high-density magnetic recording channels, outperforming previous codes like TPC/SPC.

Contribution

The paper presents a novel high-rate LDPC code, T/SPC, with linear-time encoding/decoding and demonstrates its superior performance and reduced complexity in magnetic recording applications.

Findings

T/SPC achieves up to 0.3 dB gain over TPC/SPC.

T/SPC has higher code rates and shorter code words.

The scheme reduces implementation complexity.

Abstract

This paper investigates the Triangle Single Parity Check (T/SPC) code, a novel class of high-rate low-complexity LDPC codes. T/SPC is a regular, soft decodable, linear-time encodable/decodable code. Compared to previous high-rate and low-complexity LDPC codes, such as the well-known Turbo Product Code / Single Parity Check (TPC/SPC), T/SPC provides higher code rates, shorter code words, and lower complexity. This makes T/SPC very attractive for practical implementation on integrated circuits. In addition, we analyze the performance of iterative decoders based on a soft-input soft-output (SISO) equalizer using T/SPC over high-density perpendicular magnetic recording channels. Computer simulations show that the proposed scheme is able to achieve a gain of up to 0.3 dB over TPC/SPC codes with a significant reduction of implementation complexity.