Journal of Global Optimization
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Doubly generalized LDPC codes over the AWGN channel
IEEE Transactions on Communications
Doubly-generalized LDPC codes: stability bound over the BEC
IEEE Transactions on Information Theory
Low-floor tanner codes via hamming-node or RSCC-Node doping
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
On the information function of an error-correcting code
IEEE Transactions on Information Theory
Efficient erasure correcting codes
IEEE Transactions on Information Theory
Design of capacity-approaching irregular low-density parity-check codes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Finite-length analysis of low-density parity-check codes on the binary erasure channel
IEEE Transactions on Information Theory
Capacity-achieving sequences for the erasure channel
IEEE Transactions on Information Theory
Extrinsic information transfer functions: model and erasure channel properties
IEEE Transactions on Information Theory
An analysis of the block error probability performance of iterative decoding
IEEE Transactions on Information Theory
Distance properties of expander codes
IEEE Transactions on Information Theory
Weight Distribution of Low-Density Parity-Check Codes
IEEE Transactions on Information Theory
Generalized Low-Density Parity-Check Codes Based on Hadamard Constraints
IEEE Transactions on Information Theory
Doubly-generalized LDPC codes: stability bound over the BEC
IEEE Transactions on Information Theory
Hi-index | 754.90 |
In this paper, a method for the asymptotic analysis of generalized low-density parity-check (GLDPC) codes and doubly generalized low-density parity-check (D-GLDPC) codes over the binary erasure channel (BEC), based on extrinsic information transfer (EXIT) chart, is described. This method overcomes the problem consisting of the impossibility to evaluate the EXIT function for the check or variable component codes, in situations where the information functions or split information functions for component codes are unknown. According to the proposed technique, GLDPC codes and D-GLDPC codes where the generalized check and variable component codes are random codes with minimum distance at least 2, are considered. A technique is then developed which finds the EXIT chart for the overall GLDPC or D-GLDPC code, by evaluating the expected EXIT function for each check and variable component code. This technique is finally combined with the differential evolution algorithm in order to generate some good GLDPC and D-GLDPC edge distributions. Numerical results of long, random codes, are presented which confirm the effectiveness of the proposed approach. They also reveal that D-GLDPC codes can outperform standard LDPC codes and GLDPC codes in terms of both waterfall performance and error floor.