A novel combinatorial framework to construct spatially-coupled codes: Minimum overlap partitioning

Date

2017-08-09

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Esfahanizadeh, Homa
Hareedy, Ahmed
Dolecek, Lara

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© 2017 IEEE.Spatially-coupled (SC) codes are a family of graph-based codes that have attracted significant attention thanks to their capacity approaching performance. An SC code is constructed by partitioning an underlying block code into a number of components, and coupling their copies together. The number of components is determined by the memory parameter. In this paper, we study a finite length construction for the circulant-based SC codes. We introduce a new partitioning scheme, which we call minimum overlap partitioning, that outperforms previous methods. We also present a general approach for the enumeration of problematic objects in the error-floor regime that can be applied to any circulant-based SC code and to a variety of partitioning schemes. Compared to the uncoupled block codes, an SC code constructed by the new approach has more than 1.5 and 3 orders of magnitude performance improvement for the memory 1 and 2, respectively. Additionally, it outperforms the existing method of partitioning via cutting vectors by at least half an order of magnitude; this performance advantage becomes more pronounced for SC codes with higher memories.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85034099961&origin=inward
https://hdl.handle.net/11511/98243

DOI

https://doi.org/10.1109/isit.2017.8006818

Conference Name

2017 IEEE International Symposium on Information Theory, ISIT 2017

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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, “A novel combinatorial framework to construct spatially-coupled codes: Minimum overlap partitioning,” presented at the 2017 IEEE International Symposium on Information Theory, ISIT 2017, Aachen, Almanya, 2017, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85034099961&origin=inward.