CFP last date
22 April 2024
Reseach Article

A New PWL Approximation for the "Self-Adjustable Offset Min-Sum" Decoding with a highly Reduced-Complexity

by Abdessalam Ait Madi, Anas Mansouri, Ali Ahaitouf
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 61 - Number 19
Year of Publication: 2013
Authors: Abdessalam Ait Madi, Anas Mansouri, Ali Ahaitouf
10.5120/10033-5068

Abdessalam Ait Madi, Anas Mansouri, Ali Ahaitouf . A New PWL Approximation for the "Self-Adjustable Offset Min-Sum" Decoding with a highly Reduced-Complexity. International Journal of Computer Applications. 61, 19 ( January 2013), 1-6. DOI=10.5120/10033-5068

@article{ 10.5120/10033-5068,
author = { Abdessalam Ait Madi, Anas Mansouri, Ali Ahaitouf },
title = { A New PWL Approximation for the "Self-Adjustable Offset Min-Sum" Decoding with a highly Reduced-Complexity },
journal = { International Journal of Computer Applications },
issue_date = { January 2013 },
volume = { 61 },
number = { 19 },
month = { January },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume61/number19/10033-5068/ },
doi = { 10.5120/10033-5068 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:09:50.351726+05:30
%A Abdessalam Ait Madi
%A Anas Mansouri
%A Ali Ahaitouf
%T A New PWL Approximation for the "Self-Adjustable Offset Min-Sum" Decoding with a highly Reduced-Complexity
%J International Journal of Computer Applications
%@ 0975-8887
%V 61
%N 19
%P 1-6
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A new PieceWiseLinear (PWL) function is proposed for the decoding of the Low-Density-Parity-Check (LDPC) code with the Self Adjustable Offset Min-Sum (SAOMS) algorithm. Avoiding the use of the non-linear function f(x) = ln ?? 1 + e??jxj in the adjustable offset factor, this linear approximation greatly simplifies the hardware implementation with a little BER performance loss. The proposed solution is new, useful and is successfully tested on decoding regulars (504, 252) and (8000, 4000) LDPC codes. The corresponding Check Node Processing Unit (CNPU) have been designed, described and simulated using Very High Speed integrated circuits Hardware Description language(VHDL). The synthesis results were obtained using an Altera Quartus II software with cyclone II EP2CF896C6 as the target FPGA device. The designed CNPU is fully parallel and flexible to be used for different block length when a regulars (3, 6) LDPC codes are required.

References
  1. Digital Video Broadcasting (DVB). 2004. Second generation framing structure, channel coding and modulation systems for Broadcasting, Interactive Services, News Gathering and other broadband satellite applications. Draft ETSI EN 302 307 V1. 1, European Standard (Telecommunications series).
  2. Digital Video Broadcasting (DVB). 2009. frame structure, channel coding and modulation systems for second generation digital terrestriel television broadcasting system (DVBT2). Draft ETSI EN 302 755 V1. 1. 1 , European Standard (Telecommunications series).
  3. R. G. Gallager. 1963. Low Density Parity Check Codes. MA: MIT Press. Cambridge.
  4. D. J. C. Mackay. Good Error-Correcting Codes Based on very Sparse Matrices. IEEE Transaction on information Theory. Res. 45(Jan. 1999), 399-431.
  5. M. P. C. Fossorier,M. Mihaljevic,H. Imai. Reduced Complexity Iterative Decoding of Low Density Parity Check codes based on Belief Propagation. IEEE Transaction on Communications. 47(May. 1999), 673-680.
  6. J. Chen,A. Dholakia,E. Eleftheriou,M. Fossorier,X. Y. Hu. Reduced-Complexity Decoding of LDPC codes. IEEE Transaction On Communications. 53(Aug. 2005), 1288-1299.
  7. J. Chen, M. P. C. Fossorier. 2003. Density evolution for BPbased decoding algorithms of LDPC codes and their quantized versions. In Proceedings of the IEEE GlOBCOM'02.
  8. S. L. Howard, C. Schlegel, and V. C. Gaudet. Degreematched check node decoding for regular and irregular LDPCs. IEEE Transaction on Circuits and Systems II: Express Briefs. 53(Oct. 2006), 1054-1058.
  9. M. Jiang, C. Zhao, L. Zhang, and E. Xu. Adaptive offset min-sum algorithm for low-density parity check codes. IEEE Communications Letters, 10(2006), 483-485.
  10. W. Ji,M. Hamaminto,H. Nakayam,S. Goto. Self-Adjustable Offset min-sum Algorithm for ISDB-S2 LDPC Decoder. IEICE Electronis Express. 7(Aug. 2010), 1283-1289
  11. M. M. Mansour,N. R. Shanbhag. High-Throughput LDPC Decoders. IEEE Transaction on very large integration systems. 11(Dec. 2003), 976-996.
  12. X. Yu. Hu, E. Eleftheriou, D. M. Arnold, A. Dholakia. 2002. Efficient Implementation of the Sum-Product Algorithm for Decoding LDPC Codes. In Proceedings of the IEEE GlOBCOM' 01.
  13. R. M. Tanner. A recursive Approach to Low Complexity Codes. IEEE Transaction on information Theory. IT-27(Sep. 1981), 533-547
  14. D. J. C. MacKay, Online database of low-density paritycheck codes,http:// www. inference. phy. cam. ac. uk/mackay/ CodesFiles. html
Index Terms

Computer Science
Information Sciences

Keywords

LDPC BER FPGA BP PWL VHDLifx