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Orthonormal Polynomial Wavelets on the Interval and Applications to the Analysis of Turbulent Flow Fields
2003
SIAM Journal on Applied Mathematics
We construct an orthogonal wavelet basis for the interval using a linear combination of Legendre polynomials. The coefficients are taken as appropriate roots of Chebyshev polynomials of the second kind. The one-dimensional transform is applied to analytical data and appropriate definitions of a scalogram as well as local and global spectra are presented. The transform is then extended to the multi-dimensional case. Analyses of one-and twodimensional data from a direct numerical simulation of
doi:10.1137/s0036139902404116
fatcat:klrphnzypvfthd5bk737xdctyq