On Doped SC-LDPC Codes for Streaming
Journal article, 2021

In streaming applications, doping improves the performance of spatially-coupled low-density parity-check (SC-LDPC) codes by creating reduced-degree check nodes in the coupled chain. We formulate a scaling law to predict the bit and block error rate of periodically-doped semi-infinite SC-LDPC code ensembles streamed over the binary erasure channel under sliding window decoding for a given finite component block length. The scaling law assumes that with some probability doping is equivalent to full termination and triggers two decoding waves; otherwise, decoding performs as if the coupled chain had not been doped at all. We approximate that probability and use the derived scaling laws to predict the error rates of SC-LDPC code ensembles in the presence of doping. The proposed scaling law provides accurate error rate predictions. We further use it to show that in streaming applications periodic doping can yield higher rates than periodic full termination for the same error-correcting performance.

Doping

Decoding

Iterative decoding

Solids

Error analysis

Semiconductor process modeling

Finite-length code performance

spatially-coupled LDPC codes

window decoding

Trajectory

streaming

Author

Roman Sokolovskii

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

Alexandre Graell I Amat

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

Fredrik Brännström

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

IEEE Communications Letters

1089-7798 (ISSN)

Vol. In Press

Subject Categories

Telecommunications

Computational Mathematics

Signal Processing

DOI

10.1109/LCOMM.2021.3069628

More information

Latest update

5/19/2021