2-D LDPC Codes and Joint Detection and Decoding for Two-Dimensional Magnetic Recording

Two-dimensional magnetic recording (TDMR) is a promising technology for boosting areal densities (ADs) using sophisticated signal processing algorithms within a systems framework. The read/write channel architectures have to effectively tackle 2-D intersymbol interference (ISI), 2-D synchronization...

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Bibliographic Details
Published in:IEEE transactions on magnetics Vol. 54; no. 2; pp. 1 - 11
Main Authors: Matcha, Chaitanya Kumar, Roy, Shounak, Bahrami, Mohsen, Vasic, Bane, Srinivasa, Shayan Garani
Format: Journal Article
Language:English
Published: New York IEEE 01.02.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
2D burst erasure correction
Algorithms
Bit error rate
Bursting
Codes
Computer architecture
Computer simulation
Configurations
Decoding
Detectors
Error correcting codes
Error correction codes
GBP
joint detection-decoding
LDPC
Low density parity check codes
Magnetic recording
Magnetism
Noise levels
Parity check codes
Signal detection
Signal processing
Signal processing algorithms
Synchronism
System effectiveness
TDMR
Tensile stress
Two dimensional displays
Two dimensional models
ISSN:0018-9464, 1941-0069
Online Access:Get full text
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Summary:Two-dimensional magnetic recording (TDMR) is a promising technology for boosting areal densities (ADs) using sophisticated signal processing algorithms within a systems framework. The read/write channel architectures have to effectively tackle 2-D intersymbol interference (ISI), 2-D synchronization errors, media and electronic noise sources, as well as thermal asperities resulting in burst erasures. The 1-D low-density parity check (LDPC) codes are well studied to correct large 1-D burst errors/erasures. However, such 1-D LDPC codes are not suitable for correcting 2-D burst errors/erasures due to the 2-D span of errors. In this paper, we propose construction of a native 2-D LDPC code to effectively correct 2-D burst erasures. We also propose a joint detection and decoding engine based on the generalized belief propagation algorithm to simultaneously handle 2-D ISI, as well as correct bit/burst errors for TDMR channels. This paper is novel in two aspects: 1) we propose the construction of native 2-D LDPC codes to correct large 2-D burst erasures and 2) we develop a 2-D joint signal detection-decoder engine that incorporates 2-D ISI constraints, and modulation code constrains along with LDPC decoding. The native 2-D LDPC code can correct >20% more burst erasures compared with the 1-D LDPC code over a 128 × 256 2-D page of detected bits. Also, the proposed algorithm is observed to achieve a signal-to-noise ratio gain of >0.5 dB in bit error rate performance (translating to 10% increase in ADs around the 1.8 Tb/in 2 regime with grain sizes of 9 nm) as compared with a decoupled detector-decoder system configuration over a small 2-D LDPC code of size 16 × 16. The efficacy of our proposed algorithm and system architecture is evaluated by assessing AD gains via simulations for a TDMR configuration comprising of a 2-D generalized partial response over the Voronoi media model assuming perfect 2-D synchronization.
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ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2017.2735181