Abstract
We report a new concept involving an adaptive mixture of different sets of permutation codes (PC) in a single DPSK–OFDM modulation scheme. Since this scheme is robust and the algorithms involved are simple, it is a good candidate for implementation for OFDM-based power line communication (PLC) systems. By using a special and easy concept called Hamming distance profile, as a comparison tool, we are able to showcase the strength of the new PC scheme over other schemes reported in literature, in handling the incessant noise types associated with PLC channels. This prediction tool is also useful for selecting an efficient PC codebook out of a number of similar ones.
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Ferreira, H. C., Grové, H. M., Hooijen, O., & Vinck, A. J. H. (2001). Power line communication. Wiley Encyclopedia of Electrical and Electronics Engineering.
Papilaya, V. N., Shongwe, T., Vinck, A. J. H., & Ferreira, H. C. (2012). Selected subcarriers QPSK-OFDM transmission schemes to combat frequency disturbances. IEEE International Symposium on Power Line Communications and Its Application (pp. 200–205).
Vinck, A. J. H., & Häring, J. (2000). Coding and modulation for power-line communications, IEEE International Symposium on Power Line Communications and Its Application (pp. 265–271).
CENELEC (1992). 50065 part 1: Signalling on low voltage electrical installations in the frequency range 3 kHz to 148.5 kHz, general requirments, frequency bands and electromagnetic disturbances.
CENELEC (2008). PRIME Technology, whitepaper: PHY, MAC and Convergence layers, (21st Ed.).
eRDF (2013). PLC G3 Physical Layer Specification.
Juwono, F. H., Guo, Q., Huang, D., & Wong, K. P. (2014). Deep clipping for impulsive noise mitigation in OFDM-based power-line communications. IEEE Transactions on Power Delivery, 29(3), 1335–1343.
Juwono, F. H., Guo, Q., Huang, D., & Wong, K. P (2013). Joint peak amplitude and impulsive noise clippings in OFDM-based power line communications. Asia-Pacific Conference on Communications (pp. 567–571).
Al-Mawali, K. S., & Hussain, Z. M. (2009). Adaptive-threshold clipping for impulsive noise reduction in OFDM-based power line communications. International Conference on Advanced Technologies for Communications (pp. 43–48).
Salehi, V., Mohamed, A., Mazloomzadeh, A., & Mohammed, O. A. (2012). Laboratory-based smart power system, part II: Control, monitoring, and protection. IEEE Transactions on Smart Grid, 3(3), 1405–1417.
Zhang, P., Li, F., & Bhatt, N. (2010). Next-generation monitoring, analysis, and control for the future smart control center. IEEE Transactions on Smart Grid, 1(2), 186–192.
Cheng, L., & Ferreira, H. C. (2012). Time-diversity permutation coding scheme for narrow-band power-line channels. In IEEE International Symposium on Power Line Communications and Its Application (pp. 120–125).
Cheng, L., Swart, T. G, & Ferreira, H. C. Adaptive rateless permutation coding scheme for OFDM-based PLC. (2013). In IEEE International Symposium on Power Line Communications and Its Application (pp. 242–246).
Swart, T. G., & Ferreira, H. C. (2007). Decoding distance-preserving permutation codes for power-line communications. In IEEE AFRICON (pp. 1–7).
Ferreira, H. C., Vinck, A. J. H., Swart, T. G., & de Beer, I. (2005). Permutation trellis codes. IEEE Transactions on Communications, 53(11), 1782–1789.
Dukes, P. J. (2012). Coding with injections. Designs, Codes and Cryptography, 65(3), 213–222.
Huczynska, S., & Mullen, G. L. (2006). Frequency permutation arrays. Journal of Combinatorial Designs, 14(6), 463–478.
Hunt, F. H., Perkins, S., & Smith, D. H. (2015). Decoding mixed errors and erasures in permutation codes. Designs, Codes and Cryptography, 74(2), 481–493.
Bailey, R. F. (2009). Error-correcting codes from permutation groups. Discrete Mathematics, 309(13), 4253–4265.
Chee, Y. M., Kiah, H. M., Purkayastha, P., & Wang, C. (2012). Importance of symbol equity in coded modulation for power line communications. IEEE International Symposium on Information Theory (pp. 661–665).
Ogunyanda, K., Familua, A. D., Swart, T. G., Ferreira, H. C., & Cheng, L. (2014). Permutation coding with differential quinary phase shift keying for power line communication. IEEE PES Innovative Smart Grid Technology European Conference (pp. 1–6).
Barta, J., Montemanni, R., & Smith, D. H. (2014). A branch and bound approach to permutation codes. IEEE International Conference on Infromation and Communication Technology (pp. 187–192).
Vinck, A. J. H. (2000). Coded modulation for power line communications. AEU International Journal of Electronics and Communications, 54(1), 45–49.
Deza, M., & Vanstone, S. A. (1978). Bounds for permutation arrays. Journal of Statistical Planning and Inference, 2(2), 197–209.
Wadayama, T., & Hagiwara, M. (2012). LP-decodable permutation codes based on linearly constrained permutation matrices. IEEE Transactions on Information Theory, 58(8), 5454–5470.
Kong, J., & Hagiwara, M. (2012). Comparing Euclidean, Kendall tau metrics toward extending LP decoding. IEEE International Symposium on Information Theory and its Applications (pp. 91–95).
Klove, T., Lin, T. T., Tsai, S. C., & Tzeng, W. G. (2010). Permutation arrays under the Chebyshev distance. IEEE Transactions on Information Theory, 56(6), 2611–2617.
Gologlu, F., Lember, J., Riet, A. E., & Skachek, V. (2015). New bounds for permutation codes in Ulam metric. IEEE International Symposium on Information Theory and its Applications (pp. 1726–1730).
Swart, T. G. (2006). Distance-preserving mappings and trellis codes with permutation sequences. Ph.D. dissertation, University of Johannesburg, Johannesburg.
Swart, T. G., de Beer, I., & Ferreira, H. C. (2005). On the distance optimality of permutation mappings. IEEE International Symposium on Information Theory (pp. 1068–1072).
Sklar, B., & Grant, P. M. (1988). Digital communications: Fundamentals and applications. Englewood Cliffs: Prentice Hall.
Alexandre, G. A., Guido, M., & Sergio, B. (2001). A new approach to the construction of high-rate convolutional codes. IEEE Communications Letters, 5(11), 453–455.
Ucha-Filho, B. F., Souza, R. D., Pimentel, C., & Jar, M. (2006). Further results on convolutional codes based on a minimal trellis complexity measure. IEEE International Telecommunications Symposium (pp. 123–128).
Bian, Y., Popplewell, A., & O’Reilly, J. J. (1994). New very high rate punctured convolutional codes. Electronics Letters, 30(14), 1119–1120.
Viterbi, A. J. (1971). Convolutional codes and their performance in communication systems. IEEE Transactions on Communications Technology, 19(5), 751–772.
Guftaar, A. S. S. (2007). Computation of the distance spectrum of convolutional codes and the delay spectrum of a network. Semester Project, Jacobs University Bremen, Bremen.
Bellare, M. (1997). A note on negligible functions. Technical Report CS97-529. San Diego: University of California.
MathWiki (2015). The negligible, the noticeable and the overwhelming. http://mathwiki.cs.ut.ee/asymptotics/06_the_negligible_the_noticeable_/and_the_overwhelming
Courant, J., Daubignard, M., Ene, C., Lafourcade, P., & Lakhnech, Y. (2011). Automated proofs for asymmetric encryption. Journal of Automated Reasoning on Computer Security, 46(3–4), 261–291.
Katz, J., & Lindell, Y. (2007). Introduction to modern cryptography: Principles and protocols. illustrated (Ed.). Taylor & Francis.
Riegelman, R. (2004). Studying a study and testing a test: How to read the medical evidence (5th ed.). Philadelphia, PA: Lippincott Williams & Wilkins.
Concept Stew. (2015). Statistics for the terrified: The importance of n (sample size) in statistics. http://www.conceptstew.co.uk/PAGES/nsamplesize.html
Johnson, R., & Kuby, P. (2011). Elementary statistics, student (Ed.). Cengage Learning.
Ogunyanda, K., Familua, A. D., Swart, T. G., Ferreira, H. C., & Cheng, L. (2014). Adaptive permutation coded differential OFDM system for power line communications. IEEE International Conference on Adaptive Science & Technology (pp. 1–7).
Ogunyanda, K., Familua, A. D., Swart, T. G., Ferreira, H. C., & Cheng, L. (2014). Evaluation and implementation of cyclic permutation coding for power line communications. IEEE International Conference on Adaptive Science & Technology (pp. 1–7).
Oh, M., & Sweeney, P. (1999). Low complexity soft-decision sequential decoding using hybrid permutation for Reed-Solomon codes. IMA International Conference on Cryptography and Coding (pp. 163–172).
Singh, A. (2010). A hybrid permutation-coded evolutionary algorithm for the early/tardy scheduling problem. Asia-Pacific Journal of Operational Research, 27(6), 713–725.
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This work is based on research supported in part by the National Research Foundation of South Africa (UID 77596)
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Ogunyanda, K., Familua, A.D., Swart, T.G. et al. Evaluation of mixed permutation codes in PLC channels, using Hamming distance profile. Telecommun Syst 65, 169–179 (2017). https://doi.org/10.1007/s11235-016-0224-9
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DOI: https://doi.org/10.1007/s11235-016-0224-9