NDLI: Construction for a class of smooth wavelet tight frames

Content Provider	Springer Nature Link
Author	Peng, Lizhong Wang, Haihui
Copyright Year	2003
Abstract	From the inequality \|P(z)\|$^{2}$ + \|P(−z)\|$^{2}$ ⩽ 1, assuming that both of the low-pass filters and high-pass filters are unknown, we design compactly supported wavelet tight frames. The unknowing of low-pass filters allows the design more freedom, and both the low-pass filters and high-pass filters have symmetries or anti-symmetries. We give the algorithm for filters with odd and even lengths separately, some concrete examples of wavelet tight frames with the length 4, 5, 6, 7, and at last we give the result of decomposing Lena image with them.
Starting Page	445
Ending Page	458
Page Count	14
File Format	PDF
ISSN	10092757
Journal	Science in China Series : Information Sciences
Volume Number	46
Issue Number	6
e-ISSN	18622836
Language	English
Publisher	Science in China Press
Publisher Date	2003-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	wavelet tight frame compact support smoothness symmetry (anti-symmetry) Information Systems and Communication Service
Content Type	Text
Resource Type	Article
Subject	Computer Science

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Construction for a class of smooth wavelet tight frames