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Reliability Ratio Weighted Bit Flipping– Sum Product Algorithm for Regular LDPC Codes
Chakir Aqil, Abdelaziz Ahaitouf, Ismailc Akharraz
Faculty of Taza, Morocco
Abstract: In this paper, a new algorithm called Reliability Ratio Weighted Bit Flipping–Sum Product (RRWBFSP) decoding is proposed for low-density parity-check codes. The new algorithm combines two different algorithms, Sum Product [4] and Reliability Ratio Weighted Bit Flipping [6]. The results of the simulation show that the new algorithm achieves a 0.34 dB performance gain over of the standard Sum- Product decoding algorithms. Furthermore, RRWBFSP algorithm has almost the same computational complexity compared to the standard Sum-Product algorithm.
Keywords: Low-density-parity-check Codes, Sum-product, Reliability Ratio, Weighted Bit Flipping– Sum Product Reliability Ratio Weighted Bit Flipping– Sum Product Algorithm for Regular LDPC Codes
DOI:https://doi.org/10.6025/dspaial/2022/1/1/28-36
Full_Text   PDF 1.93 MB   Download:   57  times
References:

[1] Gallager, R.G. (1962). Low-density parity check codes, IRE Transaction Info.Theory, IT-8, 21–28, January, 1962.
[2] IEEE P802.3an, 10GBASE-T task force, http://www.ieee802. org/3/an.
[3] T.T.S.I. digital video broadcasting (DVB) second generation framing structure for broadband satellite applications, http:// www.dvb. org.
[4] MacKay, D. J. C. (1999). Good error-correcting codes based on very sparse matrices, IEEE Transactions on Information Theory, 45, 399–431, March.
[5] Kou, Y., Lin, S., Fossorier, M. (2001). Low density parity check codes based on finite geometries: A rediscovery and more, IEEE Trans. Inform. Theory, 47, 2711–2736, November.
[6] Guo et, F., Hanzo, L. (2004). Reliability ratio based Weighted Bit-flipping decoding for LDPC codes. (). IEEE Communications Letters, 40, 356- 1358, October.
[7] Lu, E.H., Chen, T. C., Lu, P.Y. (2013). Theoretic approach to BP-based WBF decoding algorithm of LDPC codes. In: Proceedings 2013 IEEE Int. Symp. On Wireless and Pervasive Computing (ISWPC), 2013.
[8] Zhu, Q., Wu, L. (2013). Weighted-bit-flipping-based sequential scheduling decoding algorithms for LDPC codes, Math. Prob. Eng., Article ID 371206.
[9] Torshizi, E. O., Sharifi, H., Seyrafi, M. (2013). A new hybrid decoding algorithm for LDPC codes based on the improved variable multi weighted bit-flipping and BP algorithms. 21st Iranian Conference on Electrical Engineering, 1-6.
[10] Tiwari, H. D., Tiwari, H. D., Lee, K.-Y. (2014). Hybrid weighted bit-flipping low density parity check decoding. Digital Signal Processing Journal (Elsevier), 28 (1) 82–92.
[11] Tofar, C.-Y., Chang, P. H., Wang, Yu., Su, T. (2019). Multi-Stage Bit-Flipping Decoding Algorithms for LDPC Codes, IEEE Communications Letters, 23 (9) September.
[12] Aqil, C., Akharraz, I., Ahaitouf, Az. (2021). A New Reliability Ratio Weighted Bit Flipping Algorithm for Decoding LDPC Codes, Wireless Communications and Mobile Computing , 2021, Article ID 6698602, https://doi.org/10.1155/2021/6698602


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