Summary Report No. 72


Wavelets Based on Legendre Polynomials
J. Fröhlich, M. Uhlmann (July 2001)


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.


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