Iterative Decoding for the Concatenation of LDPC Codes and BCH Codes Based on Chase Algorithm

2006 ◽  
Author(s):  
Zhiping Shi ◽  
Liang Zhou ◽  
Hong Wen ◽  
Shaoqian Li
Keyword(s):  
Iterative Decoding ◽  
Ldpc Codes ◽  
Bch Codes

scholarly journals A Deterministic Construction for Jointly Designed Quasicyclic LDPC Coded-Relay Cooperation

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Muhammad Asif ◽  
Wuyang Zhou ◽  
Qingping Yu ◽  
Xingwang Li ◽  
Nauman Ali Khan
Keyword(s):  
Fading Channels ◽  
Iterative Decoding ◽  
Rayleigh Fading ◽  
Additive White Gaussian Noise ◽  
Ldpc Codes ◽  
Destination Node ◽  
Relay Nodes ◽  
Binary Matrix ◽  
Relay Cooperation ◽  
Joint Iterative Decoding

This correspondence presents a jointly designed quasicyclic (QC) low-density parity-check (LDPC) coded-relay cooperation with joint-iterative decoding in the destination node. Firstly, a design-theoretic construction of QC-LDPC codes based on a combinatoric design approach known as optical orthogonal codes (OOC) is presented. Proposed OOC-based construction gives three classes of binary QC-LDPC codes with no length-4 cycles by utilizing some known ingredients including binary matrix dispersion of elements of finite field, incidence matrices, and circulant decomposition. Secondly, the proposed OOC-based construction gives an effective method to jointly design length-4 cycles free QC-LDPC codes for coded-relay cooperation, where sum-product algorithm- (SPA-) based joint-iterative decoding is used to decode the corrupted sequences coming from the source or relay nodes in different time frames over constituent Rayleigh fading channels. Based on the theoretical analysis and simulation results, proposed QC-LDPC coded-relay cooperations outperform their competitors under same conditions over the Rayleigh fading channel with additive white Gaussian noise.

scholarly journals Bounded angle iterative decoding of LDPC codes

2008 ◽  
Author(s):  
Sam Dolinar ◽  
Kenneth Andrews ◽  
Fabrizio Pollara ◽  
Dariush Divsalar
Keyword(s):  
Iterative Decoding ◽  
Ldpc Codes

Iterative Decoding Algorithm for NB LDPC Codes

2016 ◽  
pp. 228-236
Author(s):  
Juane Li ◽  
Shu Lin ◽  
Khaled Abdel-Ghaffar ◽  
William E. Ryan ◽  
Daniel J. Jr Costello
Keyword(s):  
Iterative Decoding ◽  
Ldpc Codes ◽  
Decoding Algorithm

scholarly journals A Construction of High Performance Quasicyclic LDPC Codes: A Combinatoric Design Approach

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Muhammad Asif ◽  
Wuyang Zhou ◽  
Muhammad Ajmal ◽  
Zain ul Abiden Akhtar ◽  
Nauman Ali Khan
Keyword(s):  
Iterative Decoding ◽  
High Performance ◽  
Linear Complexity ◽  
Signal To Noise Ratio ◽  
Additive White Gaussian Noise ◽  
Ldpc Codes ◽  
Combinatorial Designs ◽  
Parity Check ◽  
Excellent Performance ◽  
Moderate Length

This correspondence presents a construction of quasicyclic (QC) low-density parity-check (LDPC) codes based on a special type of combinatorial designs known as block disjoint difference families (BDDFs). The proposed construction of QC-LDPC codes gives parity-check matrices with column weight three and Tanner graphs having a girth lower-bounded by 6. The proposed QC-LDPC codes provide an excellent performance with iterative decoding over an additive white Gaussian-noise (AWGN) channel. Performance analysis shows that the proposed short and moderate length QC-LDPC codes perform as well as their competitors in the lower signal-to-noise ratio (SNR) region but outperform in the higher SNR region. Also, the codes constructed are quasicyclic in nature, so the encoding can be done with simple shift-register circuits with linear complexity.

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