Binary LDPC Codes Performance using Simplified Max-Log-MAP Algorithm for High Order Constellations over Gaussian Channel

  IJRES-book-cover  International Journal of Recent Engineering Science (IJRES)          
  
© 2019 by IJRES Journal
Volume-6 Issue-3
Year of Publication : 2019
Authors : Latifa Mostari
DOI :    10.14445/23497157/IJRES-V6I3P103

Citation 

MLA Style :Latifa Mostari "Binary LDPC Codes Performance using Simplified Max-Log-MAP Algorithm for High Order Constellations over Gaussian Channel" International Journal of Recent Engineering Science 6.3(2019):19-21. 

APA Style :Latifa Mostari, Binary LDPC Codes Performance using Simplified Max-Log-MAP Algorithm for High Order Constellations over Gaussian Channel. International Journal of Recent Engineering Science, 6(3),19-21.

Abstract
Combining LDPC codes with high order constellations is an effective way to improve bandwidth efficiency. Since the LDPC codes require soft decisions regarding the input information, the constellation has to provide soft information (log-likelihood ratio) to it. In this paper, a simplified algorithm, called Simplified Max-Log-MAP algorithm, to calculate LLR is applied for binary LDPC codes, which remarkably reduce the computational complexity, and has nearly no performance loss.

Reference
[1] J. U. Duncombe, "Infrared navigation—Part I: An assessment of feasibility," IEEE Trans. Electron Devices, ED-11(1), pp. 34–39, Jan. 1959, 10.1109/TED.2016.2628402.
[2] Q. Wang, Q. Xie, Z.Wang, S. Chen and L. Hanzo, "A Universal Low-Complexity Symbol-to-Bit Soft Demapper," IEEE Transactions on Vehicular Technology, 63(1), Jan. 2014, 119- 130.
[3] L. Mostari, A. Bounoua and R. Meliani, “Performance des turbocodes utilisant la fonctiond’adaptation,” Embedded System Conference, Algeria, May 05-06, 2009.
[4] L. Mostari, R. Meliani, A. Bounoua, “Simplification de la fonction d’adaptation dans un système de transmission élaboré selon une approche pragmatique,” International Conference on AppliedInformatics, Algeria, Nov. 15-17, 2009.
[5] R. Gallager, "Low-Density Parity-Check Codes," IEEE Transaction Information Theory, 8(1), 1962, 21–28.
[6] R. G. Gallager, "Low-density parity-check codes," Ph.D. dissertation, Department of Electrical Engineering, M.I.T., Cambridge, Mass., Juillet 1963.
[7] C. E. Shannon, "A Mathematical Theory of Communication," Bell System Technical Journal, 27, Jul. Oct. 1948, pp. 379-423 and 623-656.
[8] L. Mostari, A. Bounoua, A. Taleb-Ahmed et R. Meliani, "Decoding for binary LDPC Codes under Gaussian channel," The 4th Workshop on Codes, Cryptography and Communication System, Meknes, Morocco, Nov. 07-08, 2013.
[9] S. Y. Le Goff, "Bit-Interleaved Turbo-Coded Modulations for Mobile Communications", European Signal Processing Conference (EUSIPCO), Finlande, 2000.
[10]Xiang Liu and Martin Kosakowski, "Max-Log-MAP Soft Demapper with Logarithmic Complexity for M-PAM Signals," IEEE Signal Processing Letters, 22(1), Jan. 2015, 50-53.
[11]C. Pan, J. Huang, K. Peng and L. Fan, "Simplified Soft Demapping Algorithm for Gray-APSK," Wireless Communications, Networking and Mobile Computing (WiCOM), 2012 8th International Conference on, China, 2012.
[12]L. Mostari and A. Taleb-Ahmed, "Simplified log-likelihood ratio for binary LDPC codes," Journal of Engineering Science and Technology Review, 07(1), Jan. 2017, 37-40.
[13]Tanner RM, "A Recursive Approach to Low Complexity Codes," IEEE Transactions on Information Theory, IT-27(5), 1981, 533– 547.
[14]S. J. Johnson, "Low-Density Parity-Check Codes: Design and Decoding," Chapter in Wiley Encyclopedia of Telecommunications, 2002.
[15]M. Z. Alam, C. S. Islam and M. A. Sobhan, "Using LogLikelihood Relation for BER Analysis of QAM in Space Diversity," Journal of communications, 4(6), Jul. 2009, 371-379.
[16]F. Tosato and P. Bisaglia, "Simplified Soft-Output Demapper for Binary Interleaved COFDM with Application to HIPERLAN/2," in IEEE International Conference Communication, 2, Aug. 2002, 664–668.
[17]K. Hyun and D. Yoon, "Bit Metric Generation for Gray Coded QAM Signals," Proc. Inst. Elect. Eng., Commun., 152(6), Dec. 2005, 1134–1138.
[18]L. Wang, D. Xu, and X. Zhang, "Low Complexity Bit Metric Generation for PAM Signals Based on Non-Linear Function," Electron. Lett., 17, Aug. 2011, 966–967.
[19]Rekha Rani. "Analytical Performance of LDPC Codes with OC in the Presence of Interferers", International Journal of Engineering Trends and Technology (IJRES), V12(3),136-140 June 2014.
[20]Xiang Liu and Martin Kosakowski, "Max-Log-MAP Soft Demapper with Logarithmic Complexity for M-PAM Signals," IEEE Signal Processing Letters, 22(1), Jan. 2015, pp. 50-53.

Keywords
LDPC codes, LLR, Max-log-Map algorithm, Pragmatic algorithm, QAM mapping, simplified Sum-Product Algorithm.