A New Decoding Algorithm based on Equivalent Parity Check Matrix for LDPC Codes

2013 ◽  
Vol 3 (1-2) ◽  
Author(s):  
Nguyen Tung Hung
Keyword(s):  
Ldpc Codes ◽  
Great Length ◽  
Parity Check ◽  
Decoding Algorithm ◽  
Parity Check Matrix ◽  
Ldpc Decoding ◽  
Check Matrix ◽  
Simulation Results

The article introduces a new LDPC decoding algorithm based on Equivalent Parity Check Matrix. Simulation results show that the new LDPC decoding algorithm can improve LDPC decoding performance. Compared to some other improvements, the new LDPC decoding algorithm, which is simpler, can detect errors and be applied to LDPC codes for great-length LDPC codes.

Implementation of Decoder for Effective Quasi-Cyclic LDPC Codes Based on FPGA

2013 ◽  
Vol 791-793 ◽  
pp. 1867-1871
Author(s):  
Ji Qu Han ◽  
Li Liu
Keyword(s):  
High Speed ◽  
Ldpc Codes ◽  
Parity Check ◽  
Decoding Algorithm ◽  
Parity Check Matrix ◽  
Throughput Rate ◽  
Triangular Structure ◽  
Check Matrix ◽  
Decoder Architecture ◽  
Lower Triangular

Designers are increasingly relying on FPGA-based emulation to evaluate the performance of LDPC codes. In this paper, we propose a novel approximate lower triangular structure for the parity part of the parity-check matrix of QC-LDPC codes. Next, a high speed partially parallel decoder architecture which based on the Offset BP-based decoding algorithm is proposed. The results indicate that the frequency can reach 100MHz and its throughput rate can reach 113Mbps.

New Optical Codes Based on Construction of Parity Check Matrix of LDPC Codes

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Mohammed Amine Tehami ◽  
Chahinaz Kandouci ◽  
Ali Djebbari
Keyword(s):  
Code Division Multiple Access ◽  
Cross Correlation ◽  
Direct Detection ◽  
Ldpc Codes ◽  
Parity Check ◽  
Parity Check Matrix ◽  
Check Matrix ◽  
Eye Pattern ◽  
Balanced Detection ◽  
Code Division Multiple

AbstractIn this paper, new spectral optical codes based on the construction parity check matrix of LDPC codes were designed and implemented in an optical code-division multiple access communication system. Two types optical family codes can be obtained with respectively a cross correlation of {\lambda _c} = 0 and {\lambda _c} = 1. In each case, the codes can either be decoded using the direct detection or the balanced detection. Performance was evaluated by referring to the Q factor, the bit error rate and the eye pattern diagrams using Optisystem 9.0.

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