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Permutation Coding with Injections for Modified PAM System

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EN
Abstrakty
EN
Arriving at a good combination of coding and modulation schemes that can achieve good error correction constitutes a challenge in digital communication systems. In this work, we explore the combination of permutation coding (PC) and pulse amplitude modulation (PAM) for mitigating channel errors in the presence of background noise and jitter. Since PAM is characterised with bi-polar constellations, Euclidean distance is a good choice for predicting the performance of such coded modulation setup. In order to address certain challenges facing PCs, we therefore introduce injections in the coding system, together with a modified form of PAM system. This modification entails constraining the PAM constellations to the size of the codeword’s symbol. The results obtained demonstrate the strength of the modified coded PAM system over the conventional PC coded PAM system.
Twórcy
  • Department of Electrical and Electronic Engineering Science, University of Johannesburg, Johannesburg, South Africa
  • Department of Electrical and Electronic Engineering Technology, University of Johannesburg, Johannesburg, South Africa
  • Department of Electrical and Electronic Engineering Science, University of Johannesburg, Johannesburg, South Africa
Bibliografia
  • [1] A. J. H. Vinck and J. Häring, “Coding and modulation for power-line communications,” in Power Line Commun. and Its Applicat. (ISPLC), 2000 4th IEEE Int. Symp., Limerick, Ireland, Apr. 2000, pp. 265–271.
  • [2] T. G. Swart, I. De Beer, H. C. Ferreira, and A. J. H. Vinck, “Simulation results for permutation trellis codes using M-ary FSK,” in Int. Symp. Power Line Commun. and Its Applicat. (ISPLC), 2005 IEEE Int. Symp., Vancouver, CA, Apr. 2005, pp. 317–321.
  • [3] T. G. Swart and H. C. Ferreira, “Decoding distance-preserving permutation codes for power-line communications,” in AFRICON 2007, Windhoek, Namibia, Sept. 2007, pp. 1–7.
  • [4] P. J. Dukes, “Coding with injections,” Designs, Codes and Cryptography, vol. 65, no. 3, pp. 213–222, 2012.
  • [5] C. J. Colbourn, T. Klove, and A. C. H. Ling, “Permutation arrays for powerline communication and mutually orthogonal latin squares,” IEEE Trans. Inf. Theory, vol. 50, no. 6, pp. 1289–1291, 2004.
  • [6] K. Ogunyanda, A. D. Familua, T. G. Swart, H. C. Ferreira, and L. Cheng, “Permutation coding with differential quinary phase shift keying for power line communication,” in The 5th IEEE PES Innovative Smart Grid Technol. (ISGT) European 2014 Conference, Instanbul, Turkey, Oct. 2014, pp. 1–6.
  • [7] T. G. Swart and H. C. Ferreira, “Analysis of permutation distance-preserving mappings using graphs,” in Proceedings of the International Symposium on Communication Theory and Applications. IEEE, 2007, p. 6 pages.
  • [8] F. Gologlu, J. Lember, A. E. Riet, and V. Skachek, “New bounds for permutation codes in Ulam metric,” in The 2015 Int. Symp. Informat. Theory and its Applications, Hong Kong, Jun. 2015, pp. 1726–1730.
  • [9] K. Ogunyanda, A. D. Familua, T. G. Swart, H. C. Ferreira, and L. Cheng, “Evaluation of mixed permutation codes in PLC channels, using hamming distance profile,” Telecommun. Syst., vol. 65, no. 1, pp. 1–11, 2016.
  • [10] T. Shongwe, T. G. Swart, and H. C. Ferreira, “Distance-preserving mapping with euclidean distance for 4-ary PAM,” in 2018 IEEE Int. Symp. on Commun. System, Networks and Digital Signal Processing (CSNDSP), Budapest, Hungary, Jul. 2018, pp. 1–6.
  • [11] T. Shongwe, “Trellis coded 4-ary PAM using distance-preserving mapping,” International Journal of Electronics and Telecommunications, vol. 64, no. 4, pp. 527–533, Oct. 2018.
  • [12] H. C. Ferreira, D. A. Wright, and A. Nel, “Hamming distance preserving mappings and trellis codes with constrained binary symbols,” IEEE Trans. Inform. Theory, vol. 35, pp. 1098–1103, Nov. 1989.
  • [13] K. Ouahada, T. G. Swart, and H. C. Ferreira, “Permutation sequences and coded PAM signals with spectral nulls at rational submultiples of the symbol frequency,” Cryptography and Commun., vol. 3, no. 2, pp. 87–108, Jun. 2011.
  • [14] K. T. Ouahada, “Spectral shaping and distance mappings with permutation sequences,” Ph.D. dissertation, Univ. Johannesburg, Johannesburg, Gauteng, 2009.
  • [15] N. Ou, T. Farahmand, A. Kuo, S. Tabatabaei, and A. Ivanov, “Jitter models for the design and test of Gbps-speed serial interconnects,” IEEE Des. Test of Comput., vol. 21, no. 4, pp. 302–313, July 2004.
  • [16] J. R. Barry, E. A. Lee, and D. G. Messerschmitt, Digital Communication, 3rd ed. Springer, 2004.
  • [17] R. Stephens, Jitter Analysis: The dual-Dirac Model, RJ/DJ, and Q-Scale. Agilent Technologies, 2004. [Online]. Available: http://www.Agilent.com
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-6607944f-8abe-4ff2-be11-db9a55ead102
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