English

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

Information Theory 2011-04-11 v1 math.IT

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.

Keywords

Cite

@article{arxiv.1104.1457,
  title  = {High-Rate Short-Block LDPC Codes for Iterative Decoding with Applications to High-Density Magnetic Recording Channels},
  author = {Damian A. Morero and Graciela Corral-Briones and Carmen Rodriguez and Mario R. Hueda},
  journal= {arXiv preprint arXiv:1104.1457},
  year   = {2011}
}

Comments

4 pages, 4 figures

R2 v1 2026-06-21T17:51:06.268Z