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

Matcha, CK and Roy, S and Bahrami, M and Vasic, B and Srinivasa, SG (2018) 2-D LDPC Codes and Joint Detection and Decoding for Two-Dimensional Magnetic Recording. In: IEEE Transactions on Magnetics, 54 (2).

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Official URL: https://doi.org/10.1109/TMAG.2017.2735181


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 inter-symbol 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/in2 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. © 1965-2012 IEEE.

Item Type: Journal Article
Publication: IEEE Transactions on Magnetics
Publisher: Institute of Electrical and Electronics Engineers Inc.
Additional Information: The copyright for this article belongs to Authors.
Keywords: Bit error rate; Decoding; Engines; Errors; Forward error correction; Intersymbol interference; Magnetic recording; Satellite communication systems; Signal processing; Signal to noise ratio, Bit error rate (BER) performance; Generalized belief propagation; Generalized partial response; Joint detection and decoding; Low-density parity-check (LDPC) codes; Signal processing algorithms; Two-dimensional magnetic recording (TDMR); Two-dimensional magnetic recordings, Codes (symbols)
Department/Centre: Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited: 01 Sep 2022 03:53
Last Modified: 01 Sep 2022 03:53
URI: https://eprints.iisc.ac.in/id/eprint/76325

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