On Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle
2014 ◽
Vol 57
(2)
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pp. 254-263
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Keyword(s):
AbstractThe unitary extension principle (UEP) by A. Ron and Z. Shen yields a sufficient condition for the construction of Parseval wavelet frames with multiple generators. In this paper we characterize the UEP-type wavelet systems that can be extended to a Parseval wavelet frame by adding just one UEP-type wavelet system. We derive a condition that is necessary for the extension of a UEP-type wavelet system to any Parseval wavelet frame with any number of generators and prove that this condition is also sufficient to ensure that an extension with just two generators is possible.
2014 ◽
Vol 1079-1080
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pp. 878-881
Keyword(s):
2008 ◽
Vol 06
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pp. 97-120
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2021 ◽
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2006 ◽
Vol 58
(6)
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pp. 1121-1143
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Keyword(s):
Keyword(s):
2014 ◽
Vol 12
(02)
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pp. 1450011
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2020 ◽
Vol 74
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pp. 1
2015 ◽
Vol 08
(02)
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pp. 1550034
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2009 ◽
Vol 07
(01)
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pp. 9-21
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