The Design of Protograph LDPC Codes for 2-D Magnetic Recording Channels

Chen, Pingping; Kong, Lingjun; Fang, Yi; Wang, Lin

doi:10.1109/tmag.2015.2437414

Cited by 15 publications

(7 citation statements)

References 14 publications

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“…Through a sequence of "copy-and-permute" operations on B B B, the tanner graph of an LDPC code with any desired block length can be derived [9]. During the design of protograph LDPC codes, the P-EXIT analysis [9,11], together with the AWD analysis [10], are effective theoretical methods to evaluate the decoding performance of the designed protograph code at the waterfall region and error floor region, respectively.…”

Section: Analysis Of Protograph Codes For Thementioning

confidence: 99%

“…P. Chen is also with the College of Physics and Information, Fuzhou University, China. (e-mail: ppchen.xm@gmail.com) additive white Gaussian noise (AWGN) channel, the partial response (PR) channels, and the high-density magnetic recording channels [9][10][11][12]. Furthermore, their protograph structure facilitates low-complexity encoding with readily parallelizable decoder implementations.…”

Section: Introductionmentioning

confidence: 99%

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Design of protograph codes for additive white symmetric alpha‐stable noise channels

et al. 2020

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The protograph low-density parity-check (LDPC) codes possess many attractive properties, such as the low encoding/decoding complexity and better error floor performance, and hence have been successfully applied to different types of communication and data storage channels. In this paper, we design protograph LDPC codes for communication systems corrupted by the impulsive noise, which are modeled as additive white symmetric alpha-stable noise (AWSαSN) channels. We start by presenting a novel simulation-based protograph extrinsic information transfer (P-EXIT) analysis to derive the iterative decoding threshold of the protograph codes. By further applying the asymptotic weight distribution (AWD) analysis, we design new protograph codes for the AWSαSN channel. Both theoretical analysis and simulation results demonstrate that the proposed protograph codes can provide better error rate performance than the prior art AR4JA code, the irregular codes optimized for the AWGN channel, as well as the irregular codes optimized for the AWSαSN channel.

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Section: Analysis Of Protograph Codes For Thementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of protograph codes for additive white symmetric alpha‐stable noise channels

et al. 2020

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“…and n m is the binomial coefficient. The updated mean of the outgoing message from a CN can be given in (10), as shown at the bottom of this page. Let Q(•) be the Q-function of the standard normal distribution [4].…”

Section: A Gaussian Approximation Of Ldpc Codes Overmentioning

confidence: 99%

“…The feedback and non-feedback capacities of such channels were discussed, respectively. At present, the existing coding techniques for the classic erasure-burst channel have been extensively studied in [10]- [13]. However, there are not many works addressing the construction of coding schemes over the BuEC-G with finite-state erasure process [14]- [20].…”

Section: Introductionmentioning

confidence: 99%

“…For the decoding process, the log-likelihood ratios (LLRs) of channel outputs tend to zero when erasure occurs. Thus we can view the erasure noise as some interferences that eliminate the information from the channel, and then evaluate thresholds of the iterative decoding by the extrinsic information transfer (EXIT) analysis [10], [32]- [34]. On the other hand, a major difficulty of designing GC-LDPC codes is to determine the relationship between the structure of GC-LDPC codes and the threshold of iterative decoding over BuECs-G [35], [36].…”

Section: Introductionmentioning

confidence: 99%

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Protograph-Based Globally-Coupled LDPC Codes Over the Gaussian Channel With Burst Erasures

Bai

Zhu

et al. 2019

IEEE Access

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This paper presents two types of protograph-based globally-coupled low-density parity-check (GC-LDPC) codes formed by a new edge spreading operation. This operation is called the global edge spreading. The Gaussian approximation (GA) and the protograph-based extrinsic information transfer (P-EXIT) analysis are then generalized over a special type of burst-erasure channels (BuECs). Such channel incorporates both Gaussian noise and burst erasures, and is denoted by the Gaussian channel with burst erasures (BuEC-G). Furthermore, the stability condition for BuECs-G is proved and an edge spreading optimization method is proposed to design the structured GC-LDPC codes by predicting the iterative decoding thresholds of corresponding protographs. Simulation results show that the optimized GC-LDPC codes can achieve better thresholds and error performances than existing well-designed GC-LDPC codes, and provide near-capacity performances over BuECs-G. INDEX TERMS Globally-coupled low-density parity-check codes, Gaussian approximation, protographbased extrinsic information transfer, burst-erasure, Gilbert-Elliott erasure.

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Error correction in data storage systems using polar codes

2021

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This paper investigates error correction in two-dimensional (2-D) intersymbol interference (ISI) channels using polar codes. 2-D channels offer high data storage capacity compared to traditional one-dimensional (1-D) channels but suffer from greater ISI effects. Error correction codes can be used to mitigate the effects of ISI in 2-D data storage systems and improve their performance and reliability. Polar codes achieve the symmetric capacity for the class of binary-input discrete memoryless channels (B-DMCs). A post-processing technique is proposed to improve the performance of polar codes in the 2-D ISI channel. The simplified successive cancellation (SSC) polar decoder is useful for data storage systems owing to its good waterfall region performance, low error floors and good throughput rates and is therefore adopted for the study. Simulation results indicate that the proposed technique has an error correction performance comparable to some existing decoders and has better performance than other decoding techniques.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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The Design of Protograph LDPC Codes for 2-D Magnetic Recording Channels

Cited by 15 publications

References 14 publications

Design of protograph codes for additive white symmetric alpha‐stable noise channels

Design of protograph codes for additive white symmetric alpha‐stable noise channels

Protograph-Based Globally-Coupled LDPC Codes Over the Gaussian Channel With Burst Erasures

Error correction in data storage systems using polar codes

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