The finite length analysis of spatially-coupled codes for 1-D magnetic recording channels

Date

2017-03-01

Author

Esfahanizadeh, Homa
Hareedy, Ahmed
Dolecek, Lara

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© 2016 IEEE.Spatially-coupled (SC) codes have recently attracted significant attention due to their capability to achieve capacity approaching performance. Significant recent research has been devoted to the asymptotic study of SC codes. Although the asymptotic analysis is relevant, it cannot be directly applied in the finite-length setting due to cycle-free and averaging assumptions. In this paper, we consider the problem of finite length analysis of SC codes for magnetic-recording (MR) applications. First, we propose an efficient approach to enumerate certain combinatorial objects inside the Tanner graph representation of SC codes, objects that are found to lead to decoding errors in the high reliability regime. This enumeration approach exploits the structure of SC codes to dramatically decrease the complexity of the enumeration. Next, we consider the class of array-based SC codes with column weight 3 as a representative example, and identify the problematic combinatorial objects that cause performance degradation in the error floor area. We show that SC codes designed to have a minimal number of these problematic objects have a notable performance improvement in the error floor area.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85016236122&origin=inward
https://hdl.handle.net/11511/98454

DOI

https://doi.org/10.1109/acssc.2016.7869546

Conference Name

50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016

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Department of Electrical and Electronics Engineering, Conference / Seminar

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Citation Formats

H. Esfahanizadeh, A. Hareedy, and L. Dolecek, “The finite length analysis of spatially-coupled codes for 1-D magnetic recording channels,” presented at the 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016, California, Amerika Birleşik Devletleri, 2017, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85016236122&origin=inward.