An algorithm for constructing multidimensional biorthogonal periodic multiwavelets
2000 ◽
Vol 43
(3)
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pp. 633-649
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Keyword(s):
AbstractThis paper deals with the problem of constructing multidimensional biorthogonal periodic multiwavelets from a given pair of biorthogonal periodic multiresolutions. Biorthogonal polyphase splines introduced to reduce the problem to a matrix extension problem, and an algorithm for solving the matrix extension problem is derived. Sufficient conditions for collections of periodic multiwavelets to form a pair of biorthogonal Riesz bases of the entire function space are also obtained.
1996 ◽
Vol 28
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pp. 114-165
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pp. 473-485
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pp. 361-369
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pp. 659-665
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