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    A New Approach for Designing Orthogonal Wavelets for Multicarrier Applications

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    Paper 23 Anoh 2014.pdf (687.5Kb)
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    Publication date
    2014-07
    Author
    Anoh, Kelvin O.O.
    Noras, James M.
    Abd-Alhameed, Raed A.
    Jones, Steven M.R.
    Voudouris, Konstantinos N.
    Keyword
    Orthogonal wavelets; Finite impulse response filter; FIR; Multicarrier system; Simultaneous solution; Ideal filter
    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/
    Peer-Reviewed
    Yes
    
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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.
    URI
    http://hdl.handle.net/10454/8668
    Version
    Accepted Manuscript
    Citation
    Anoh KOO, Noras JM, Abd-Alhameed RA, Jones SMR and Voudouris KN (2014) A new approach for designing orthogonal wavelets for multicarrier applications. AEU - International Journal of Electronics and Communications, 68 (7): 616-622.
    Link to publisher’s version
    http://dx.doi.org/10.1016/j.aeue.2014.01.009
    Type
    Article
    Collections
    Engineering and Informatics Publications

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