1. Refined Reliability Combining for Binary Message Passing Decoding of Product Codes
- Author
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Alireza Sheikh, Alexandre Graell i Amat, Gianluigi Liva, and Alex Alvarado
- Subjects
FOS: Computer and information sciences ,decoding ,Computer science ,Computer Science - Information Theory ,Information Theory (cs.IT) ,Reliability (computer networking) ,Message passing ,Satellitennetze ,Binary number ,Throughput ,02 engineering and technology ,optical communications ,01 natural sciences ,Atomic and Molecular Physics, and Optics ,010309 optics ,020210 optoelectronics & photonics ,Transmission (telecommunications) ,Bounded function ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,Product codes ,Algorithm ,Quadrature amplitude modulation ,Decoding methods ,Computer Science::Information Theory - Abstract
We propose a novel soft-aided iterative decoding algorithm for product codes (PCs). The proposed algorithm, named iterative bounded distance decoding with combined reliability (iBDD-CR), enhances the conventional iterative bounded distance decoding (iBDD) of PCs by exploiting some level of soft information. In particular, iBDD-CR can be seen as a modification of iBDD where the hard decisions of the row and column decoders are made based on a reliability estimate of the BDD outputs. The reliability estimates are derived by analyzing the extrinsic message passing of generalized low-density-parity check (GLDPC) ensembles, which encompass PCs. We perform a density evolution analysis of iBDD-CR for transmission over the additive white Gaussian noise channel for the GLDPC ensemble. We consider both binary transmission and bit-interleaved coded modulation with quadrature amplitude modulation. We show that iBDD-CR achieves performance gains up to 0.51 dB compared to iBDD with the same internal decoder data flow. This makes the algorithm an attractive solution for very high-throughput applications such as fiber-optic communications.
- Published
- 2021
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