NDLI: Applications of Non-Orthogonal Filter Banks to Signal and Image Analysis

Content Provider	IEEE Xplore Digital Library
Author	Soares, L.R. de Oliveira, H.M. Cintra, R.J.S.
Copyright Year	2006
Description	Author affiliation: Dept. of Electron. & Syst., Pernambuco Fed. Univ., Recife (Soares, L.R.; de Oliveira, H.M.; Cintra, R.J.S.)
Abstract	A non-orthogonal wavelet-based multiresolution analysis was already provided by scaling and wavelet filters derived from Gegenbauer polynomials. Allowing for odd n (the polynomial order) and a value (a polynomial parameter) within the orthogonality range of such polynomials, scaling and wavelet functions are generated by frequency selective FIR filters. These filters have compact support and generalized linear phase. Special cases of such filter banks include Haar, Legendre, and Chebyshev wavelets. As an improvement, it has been achieved that for specific a values it is possible to reach a filter with flat magnitude frequency response. We obtain a unique closed expression for a value for every n odd value. The main advantages in favor of Gegenbauer filters are their smaller computational effort and a constant group delay, as they are symmetric filters. Potential applications of such wavelets include fault analysis in transmission lines of power systems and image processing
Sponsorship	IEEE Power Eng. Soc
Starting Page	1
Ending Page	6
File Size	6468680
Page Count	6
File Format	PDF
ISBN	1424402875
DOI	10.1109/TDCLA.2006.311513
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-08-15
Publisher Place	Venezuela
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Gegenbauer polynomials signal analysis Nonlinear filters wavelet transform Legendre wavelets Wavelet analysis Chebyshev wavelets image analysis Multiresolution analysis filter banks Image analysis Power system analysis computing Chebyshev approximation Finite impulse response filter Frequency Filter bank Polynomials Gegenbauer wavelets multiresolution analysis discrete-time filters
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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