Abstract
In this note we give a complete characterisation of the class of symmetric-antisymmetric multiwavelets with three and four coefficients. That is, we find all three tap multiwavelets satisfying the following conditions:
-
(a)
orthogonality
-
(b)
one symmetric component and the other antisymmetric
-
(c)
approximation order two and
-
(d)
compact support in the interval [0,2].
We also find all four tap multiwavelets satisfying the conditions (a), (b), (c) and (d) compact support in the interval [0, 3].
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Knowles, G. (2009). A Complete Classification of Short Symmetric-antisymmetric Multiwavelets. In: Curbera, G.P., Mockenhaupt, G., Ricker, W.J. (eds) Vector Measures, Integration and Related Topics. Operator Theory: Advances and Applications, vol 201. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0211-2_24
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DOI: https://doi.org/10.1007/978-3-0346-0211-2_24
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