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arXiv · 2203.08880

Finite-Length Scaling of SC-LDPC Codes With a Limited Number of Decoding Iterations

Roman Sokolovskii·Alexandre Graell i Amat·Fredrik Brännström
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Abstract

We propose four finite-length scaling laws to predict the frame error rate (FER) performance of spatially-coupled low-density parity-check codes under full belief propagation (BP) decoding with a limit on the number of decoding iterations and a scaling law for sliding window decoding, also with limited iterations. The laws for full BP decoding provide a choice between accuracy and computational complexity; a good balance between them is achieved by the law that models the number of decoded bits after a certain number of BP iterations by a time-integrated Ornstein-Uhlenbeck process. This framework is developed further to model sliding window decoding as a race between the integrated Ornstein-Uhlenbeck process and an absorbing barrier that corresponds to the left boundary of the sliding window. The proposed scaling laws yield accurate FER predictions.

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Roman Sokolovskii, Alexandre Graell i Amat, Fredrik Brännström. 2022-03-16. Finite-Length Scaling of SC-LDPC Codes With a Limited Number of Decoding Iterations. https://arxiv.org/abs/2203.08880

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