Abstract
A new point of view for wavelet filters is presented. This leads to a description of wavelet filters in terms of certain linear independent basic filters which can be designed to construct wavelets with special properties. Furthermore, it is shown, that this approach makes explicit closed form descriptions for higher order Daubechies wavelet filters (at least for D 8 and D 10) possible, which were unaccessible before. Additionally, some biorthogonal examples are discussed and finally, a conceptual generalization to the twodimensional case is given.
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© 2000 Springer-Verlag Berlin Heidelberg
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Neckels, K. (2000). Wavelet Filter Design via Linear Independent Basic Filters. In: Sommer, G., Zeevi, Y.Y. (eds) Algebraic Frames for the Perception-Action Cycle. AFPAC 2000. Lecture Notes in Computer Science, vol 1888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722492_19
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DOI: https://doi.org/10.1007/10722492_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41013-3
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