A Scaling Law to Predict the Finite-Length Performance of Spatially-Coupled LDPC Codes
arXiv:1404.5719 · doi:10.1109/TIT.2015.2422816
Abstract
Spatially-coupled LDPC codes are known to have excellent asymptotic properties. Much less is known regarding their finite-length performance. We propose a scaling law to predict the error probability of finite-length spatially-coupled ensembles when transmission takes place over the binary erasure channel. We discuss how the parameters of the scaling law are connected to fundamental quantities appearing in the asymptotic analysis of these ensembles and we verify that the predictions of the scaling law fit well to the data derived from simulations over a wide range of parameters. The ultimate goal of this line of research is to develop analytic tools for the design of spatially-coupled LDPC codes under practical constraints.
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Cited by in corpus (8)
- A Combinatorial Methodology for Optimizing Non-Binary Graph-Based Codes: Theoretical Analysis and Applications in Data Storage
- A Probabilistic Peeling Decoder to Efficiently Analyze Generalized LDPC Codes Over the BEC
- Spatially Coupled Generalized LDPC Codes: Asymptotic Analysis and Finite Length Scaling
- Continuous Transmission of Spatially-Coupled LDPC Code Chains
- Finite-Length Scaling of Spatially Coupled LDPC Codes Under Window Decoding Over the BEC
- Finite-Length Analysis of Spatially-Coupled Regular LDPC Ensembles on Burst-Erasure Channels
- On Doped SC-LDPC Codes for Streaming
- A Refined Scaling Law for Spatially Coupled LDPC Codes Over the Binary Erasure Channel