Wavelets based on legendre polynomials

FrÃ¶hlich, J.; Uhlmann, M.

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Wavelets based on legendre polynomials

Authors

FrÃ¶hlich, J.
Potsdam Institute for Climate Impact Research and Cooperation Partners;

Uhlmann, M.
Potsdam Institute for Climate Impact Research and Cooperation Partners;

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https://www.pik-potsdam.de/en/output/publications/pikreports
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pr72.pdf
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Citation

FrÃ¶hlich, J., Uhlmann, M. (2001): Wavelets based on legendre polynomials, (PIK Report ; 72), Potsdam : Potsdam-Institut für Klimafolgenforschung, 49 p.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_13320

Abstract

We construct an orthogonal wavelet basis for the interval using a linear combination of Legendre polynomial functions. The coefficients are taken as appropriate roots of Chebyshev polynomials of the second kind, as has been proposed in reference [1]. A multi-resolution analysis is implemented and illustrated with analytical data and real-life signals from turbulent flow fields.