Rate-Adaptive Spatially Coupled MacKay-Neal Codes with Thresholds Close to Capacity

2025/10/16 by Zahr, Ayman, Liva, Gianluigi
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.2510.14843

Abstract

We analyze by density evolution the asymptotic performance of rate-adaptive MacKay-Neal (MN) code ensembles, where the inner code is a protograph spatially coupled (SC) low-density parity-check code. By resorting to a suitably-defined parallel channel model, we compute belief propagation decoding thresholds, showing that SC MN code ensembles can perform within 0.15 dB from the binary-input additive white Gaussian noise capacity over the full [0,1] rate range.

Citations

• Rate-Adaptive Protograph-Based MacKay-Neal Codes
• Constant Composition Distribution Matching
• Bandwidth Efficient and Rate-Matched Low-Density Parity-Check Coded\n Modulation
• Spatially Coupled Ensembles Universally Achieve Capacity under Belief\n Propagation

Related

• Rate-Adaptive Protograph MacKay-Neal Codes
• Rate-Adaptive Protograph-Based MacKay-Neal Codes
• Universal Rateless Codes From Coupled LT Codes
• On the Convergence Speed of Spatially Coupled LDPC Ensembles
• Spatially Coupled Codes over the Multiple Access Channel