4.5 Article

Wavelet transform with special boundary treatment for 1D data

Journal

COMPUTATIONAL & APPLIED MATHEMATICS
Volume 32, Issue 3, Pages 447-457

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s40314-013-0050-6

Keywords

Daubechies wavelets; Spline wavelets; Undecimated wavelet transform; Signal analysis; Border effects

Funding

  1. CNPq [304854/2009-3, 476447/2010-0, 201457/2010-5]

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An extrapolation procedure based on the vanishing moments property of the orthonormal wavelet family is associated to the a trous discrete wavelet transform with filters taken from the biorthogonal spline wavelets. This coupling avoids the construction of wavelets in the interval, enabling the confidence region increase of the transform when analyzing data. Simulations corroborate the efficiency of the proposed scheme.

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