Spiking Neural Belief Propagation Decoder for LDPC Codes with Small Variable Node Degrees
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arXiv
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| Format: | Preprint |
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2024
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| author | von Bank, Alexander Edelmann, Eike-Manuel Mandelbaum, Jonathan Schmalen, Laurent |
| author_facet | von Bank, Alexander Edelmann, Eike-Manuel Mandelbaum, Jonathan Schmalen, Laurent |
| contents | Spiking neural networks (SNNs) promise energy-efficient data processing by imitating the event-based behavior of biological neurons. In previous work, we introduced the enlarge-likelihood-each-notable-amplitude spiking-neural-network (ELENA-SNN) decoder, a novel decoding algorithm for low-density parity-check (LDPC) codes. The decoder integrates SNNs into belief propagation (BP) decoding by approximating the check node (CN) update equation using SNNs. However, when decoding LDPC codes with a small variable node(VN) degree, the approximation gets too rough, and the ELENA-SNN decoder does not yield good results. This paper introduces the multi-level ELENA-SNN (ML-ELENA-SNN) decoder, which is an extension of the ELENA-SNN decoder. Instead of a single SNN approximating the CN update, multiple SNNs are applied in parallel, resulting in a higher resolution and higher dynamic range of the exchanged messages. We show that the ML-ELENA-SNN decoder performs similarly to the ubiquitous normalized min-sum decoder for the (38400, 30720) regular LDPC code with a VN degree of dv = 3 and a CN degree of dc = 15. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15897 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spiking Neural Belief Propagation Decoder for LDPC Codes with Small Variable Node Degrees von Bank, Alexander Edelmann, Eike-Manuel Mandelbaum, Jonathan Schmalen, Laurent Signal Processing Information Theory Spiking neural networks (SNNs) promise energy-efficient data processing by imitating the event-based behavior of biological neurons. In previous work, we introduced the enlarge-likelihood-each-notable-amplitude spiking-neural-network (ELENA-SNN) decoder, a novel decoding algorithm for low-density parity-check (LDPC) codes. The decoder integrates SNNs into belief propagation (BP) decoding by approximating the check node (CN) update equation using SNNs. However, when decoding LDPC codes with a small variable node(VN) degree, the approximation gets too rough, and the ELENA-SNN decoder does not yield good results. This paper introduces the multi-level ELENA-SNN (ML-ELENA-SNN) decoder, which is an extension of the ELENA-SNN decoder. Instead of a single SNN approximating the CN update, multiple SNNs are applied in parallel, resulting in a higher resolution and higher dynamic range of the exchanged messages. We show that the ML-ELENA-SNN decoder performs similarly to the ubiquitous normalized min-sum decoder for the (38400, 30720) regular LDPC code with a VN degree of dv = 3 and a CN degree of dc = 15. |
| title | Spiking Neural Belief Propagation Decoder for LDPC Codes with Small Variable Node Degrees |
| topic | Signal Processing Information Theory |
| url | https://arxiv.org/abs/2412.15897 |