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A New Approach for Designing Orthogonal Wavelets for Multicarrier Applications
Anoh, Kelvin O.O. Noras, James M. Jones, Steven M.R. Voudouris, Konstantinos N.
Anoh, Kelvin O.O.
Noras, James M.
Jones, Steven M.R.
Voudouris, Konstantinos N.
Publication Date
2014-07
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Rights
© 2014 Elsevier. Reproduced in accordance with the publisher's self-archiving policy. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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Yes
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Accepted for publication
2014-01-14
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Abstract
The Daubechies, coiflet and symlet wavelets, with properties of orthogonal wavelets are suitable for multicarrier transmission over band-limited channels. It has been shown that similar wavelets can be constructed by Lagrange approximation interpolation. In this work and using established wavelet design algorithms, it is shown that ideal filters can be approximated to construct new orthogonal wavelets. These new wavelets, in terms of BER behave slightly better than the wavelets mentioned above, and much better than biorthogonal wavelets, in multipath channels with additive white Gaussian noise (AWGN). It is shown that the construction, which uses a simple simultaneous solution to obtain the wavelet filters from the ideal filters based on established wavelet design algorithms, is simple and can easily be reproduced.
Version
Accepted manuscript
Citation
Anoh KOO, Noras JM, Abd-Alhameed R et al (2014) A new approach for designing orthogonal wavelets for multicarrier applications. AEU - International Journal of Electronics and Communications. 68(7): 616-622.
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Article