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Extended Permutation Coding with Spectral Shaping Capability

K. Ogunyanda, T. G. Swart, and O. O. Ogunyanda
Center for Telecommunications, Department of Electrical and Electronic Engineering Science, University of Johannesburg, Johannesburg, South Africa

Abstract—Considerable effort has been focused on efficient error correction schemes in digital communications where the medium of transmission is unfriendly for information transmission. Also, some of such channels have certain frequency characteristics that should be considered during system designs. Permutation coding (PC) has been reported as being capable of spectral shaping, by manipulating channel symbols in such a way that the frequency energy of the transmitted signal is concentrated towards certain areas of the frequency spectrum. We, therefore, report an extension operation that enables the generation of a new PC from a source PC that is capable of spectrum shaping, while still maintaining its spectral shaping capability. A mathematical expression that can predict the low energy sections of the codebook's spectrum is also presented, together with their lower and upper bounds. An added advantage of the proposed scheme is that better error correction is attainable due to the way the extension is introduced.

Index Terms—Channel coding, code extension, error correction, permutation codes, power line communications, spectral shaping

Cite: K. Ogunyanda, T. G. Swart, and O. O. Ogunyanda, "Extended Permutation Coding with Spectral Shaping Capability," Journal of Communications vol. 17, no. 6, pp. 434-442, June 2022. Doi: 10.12720/jcm.17.6.434-442

Copyright © 2022 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.