New constructions of LDPC codes based on circulant permutation matrices for AWGN channel

2014 ◽  
Vol 31 (2) ◽  
pp. 85-91
Author(s):  
Zixi Song ◽  
Lijun Zhang
Keyword(s):  
Ldpc Codes ◽  
Permutation Matrices ◽  
Awgn Channel

Construction of LDPC Codes Based on Circulant Permutation Matrices

2011 ◽  
Vol 30 (10) ◽  
pp. 2384-2387 ◽  
Author(s):  
Hua Qiao ◽  
Wu Guan ◽  
Ming-ke Dong ◽  
Hai-ge Xiang
Keyword(s):  
Ldpc Codes ◽  
Permutation Matrices

scholarly journals A New Reliability Ratio Weighted Bit Flipping Algorithm for Decoding LDPC Codes

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Chakir Aqil ◽  
Ismail Akharraz ◽  
Abdelaziz Ahaitouf
Keyword(s):  
Gaussian Noise ◽  
Additive White Gaussian Noise ◽  
Ldpc Codes ◽  
Low Density ◽  
Parity Check ◽  
Coding Gain ◽  
Decoding Complexity ◽  
Low Density Parity Check ◽  
Awgn Channel ◽  
Infinite Loop

In this study, we propose a “New Reliability Ratio Weighted Bit Flipping” (NRRWBF) algorithm for Low-Density Parity-Check (LDPC) codes. This algorithm improves the “Reliability Ratio Weighted Bit Flipping” (RRWBF) algorithm by modifying the reliability ratio. It surpasses the RRWBF in performance, reaching a 0.6 dB coding gain at a Binary Error Rate (BER) of 10−4 over the Additive White Gaussian Noise (AWGN) channel, and presents a significant reduction in the decoding complexity. Furthermore, we improved NRRWBF using the sum of the syndromes as a criterion to avoid the infinite loop. This will enable the decoder to attain a more efficient and effective decoding performance.

scholarly journals Error Floor Approximation for LDPC Codes in the AWGN Channel

2014 ◽  
Vol 60 (12) ◽  
pp. 7416-7441 ◽  
Author(s):  
Brian K. Butler ◽  
Paul H. Siegel
Keyword(s):  
Ldpc Codes ◽  
Error Floor ◽  
Awgn Channel

An Improved Construction for Yielding Nonbinary LDPC Codes

2014 ◽  
Vol 556-562 ◽  
pp. 6307-6310
Author(s):  
Li Sheng Zhang ◽  
Zhi Peng Huang ◽  
Fan Xin Zeng
Keyword(s):  
Belief Propagation ◽  
Ldpc Codes ◽  
Construction Method ◽  
Decoding Algorithm ◽  
Construction Methods ◽  
Awgn Channel ◽  
Simulation Results ◽  
Nonbinary Ldpc Codes

In this paper, we investigate construction methods for producing nonbinary LDPC codes, and a family of nonbinary LDPC codes over is presented and its properties are derived. Compared to the second method presented by Ref. [5], simulation results show that the proposed LDPC codes perform well over the AWGN channel under belief propagation decoding algorithm and have an almost same BER curve as the ones in Ref. [5]. However, the resultant construction method is simpler than the latter’s.

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