Serial Concatenation of Binary LDPC Codes with Iterative Decoding

  IJETT-book-cover  International Journal of Recent Engineering Science (IJRES)          
  
© 2019 by IJRES Journal
Volume-6 Issue-6
Year of Publication : 2019
Authors : Latifa Mostari, Abdelmalik Taleb-Ahmed
  10.14445/23497157/IJRES-V6I6P102

MLA 

MLA Style: Latifa Mostari, Abdelmalik Taleb-Ahmed "Serial Concatenation of Binary LDPC Codes with Iterative Decoding" International Journal of Recent Engineering Science 6.6(2019):7-11. 

APA Style: Latifa Mostari, Abdelmalik Taleb-Ahmed, Serial Concatenation of Binary LDPC Codes with Iterative Decoding. International Journal of Recent Engineering Science, 6(6),7-11.

Abstract
In this paper, a binary serial turbo LDPC code is presented. It represents a serial concatenated LDPC codes separated by interleavers, with iterative decoding. In this work, we aim to investigate the performance evaluation of concatenated code, with reduced complexity and decoding delay, associated with high order constellation using Gray mapping, over Gaussian and Rayleigh channels. Simulation results show that the performance of a serial concatenated LDPC codes is higher than that of single LDPC code with the same code rate and code block length.

Reference
[1] Gallager, R. G. (1962) .Low-Density Parity-Check Codes. IEEE Transaction Information Theory, 8(1), 21–28.
[2] MacKay, D. J. C. & Neal, R. M. (1996) .Good Near Shannon Limit Performance of Low-Density Parity-Check Code. Electronic Letters, 32, 1645-1646.
[3] Shannon, C. E. (1948) .A Mathematical Theory of Communication. Bell System Technical Journal, 27, 379-423 and 623-656.
[4] Tanner, RM (1981) .A Recursive Approach to Low Complexity Codes. IEEE Transaction on Information Theory, IT-27(5): 533–547.
[5] Gallager, R. G. (1963) .Low-density parity-check codes. Ph.D. dissertation, Department of Electrical Engineering, M.I.T., Cambridge, Mass..
[6] Kschischang, F. R., Frey, B. J. &Loeliger,H. A. .Factor Graphs and the Sum-Product Algorithm. IEEE Transaction Information Theory, 47( 2), 498–519.
[7] Bernhard, M., Leiner J. (2001) .LDPC Codes. a Brief Tutorial..
[8] MacKay, D. (1999) .Good Error-Correcting Codes Based on very Sparse Matrices. IEEE Transaction Information Theory, 45(2), 399–431.
[9] Beermann, M., Monz, E., Schmalen, L. &Varyx, P. (2013) .High Speed Decoding of Non-Binary Irregular LDPC Codes Using GPUs. in Proc. IEEE SiPS.
[10] P.Ravikiran and Mehul C. Patel, "Density Evolution of Low Density Parity Check codes over different channels" SSRG International Journal of VLSI & Signal Processing 4.2 (2017): 39-44.
[11] Pyndiah, R. (1998) .Near Optimum Decoding of Product Codes: Block Turbo Codes. IEEE Transaction Communications, 46 (8), 1003-1010.
[12] Berrou, C., Glavieux, A. &Thitimajshima, P. (1993) .Near Shannon Limit Error Correcting Coding and Decoding: Turbo-Codes. IEEE ICC'93, 1064-1070, Geneva.
[13] AlMuaini, S., AlDweik, A. &AlQutayri, M. (2013) .BER Performance of Turbo Product LDPC Codes with Non Sequential Decoding. Wireless and Mobile Networking Conference, 1-6.
[14] Hung, J., Shyu, J. & Chen, S. (2011) .A New HighPerformance and Low-complexity Turbo-LDPC Code. International Conference on Multimedia and Signal Processing, 68-72.
[15] Kumar, R. P. &Kshetrimayum, R. S. (2013) .An Efficient Methodology for Parallel Concatenation of LDPC Codes with Reduced Complexity and Decoding Delay," in Proceding National Conference on Communications (NCC), New Delhi, India.
[16] Behairy, H. & Chang, S. C. (2000) .Parallel Concatenated Gallager Codes. Electronics Letters, 36(24), 2025-2026.
[17] Behairy, H. M. &Benaissa, M. (2014) .Multiple Parallel Concatenated Gallager Codes: Code Design and Decoding Techniques.IETE Journal of research, 59(20)
[18] Belgheit, B., Boukelif, A., Moulay, L. A. &Kamline M. (2012) .Parallel concatenated Gallager codes matrix and the effect of interleaver.International Journal of Electronics, 99(9), (pp. 1281-1289).
[19] Wang, Z. & Zhang, M. (2012) .A Serial Concatenated Scheme for LDPC Code to Achieve Better Error Correction Performance. 2nd International Conference on Cosumer Electronics, Communications and Networks, 1587-1589.
[20] Mostari, L., Taleb-Ahmed, A. &Bounoua, A. (2018) .High Performance LDPC Codes for High Spectral Efficiency.Internetworking Indonesia Journal, 10(01), 9-15.
[21] M. M. Jadhav , Ankit Pancholi , Dr. A. M. Sapkal. "Analysis And Implementation Of Soft - Decision Decoding Algorithm Of LDPC ". International Journal of Engineering Trends and Technology (IJETT). V4(6):2380-2384 Jun 2013. ISSN:2231-5381.
[22] Johnson, S. (2010) .Iterative Error Correction Turbo, LowDensity Parity-Check and Repeat-Accumulate Codes," Cambridge University Press.
[23] Berrou, C. (2007) .Codes et Turbo-Codes. Springer.
[24] Moision, B. (2013) .Decoding Complexity and Performance of Short-Block LDPC Codes Over GF (q) ," IPN Progress Report,42-194.
[25] Mostari, L., Taleb-Ahmed, A. (2019) .Non-binary serial turbo LDPC codes combinedwithhighorder constellations.Journal of Science and Technology, 27(1), 33-47.

Keywords
LDPC codes, serial concatenation, iterative decoding, Gray-QAM constellation.