Study of Periodic Frames and Trivariate Tight Wavelet Frames and Applications in Materials Engineering

Song Zhen Sun; Yi Guo

doi:10.4028/www.scientific.net/AMR.1079-1080.878

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1079-1080Study of Periodic Frames and Trivariate Tight...

Study of Periodic Frames and Trivariate Tight Wavelet Frames and Applications in Materials Engineering

Abstract:

It is shown that there exists a frame wavelet with fast decay in the time domain and compact support in the frequency domain generating a wavelet system whose canonical dual frame cannot be generated by an arbitrary number of generators. We show that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets, according to scaling functions.

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Periodical:

Advanced Materials Research (Volumes 1079-1080)

Pages:

878-881

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1079-1080.878

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Online since:

December 2014

Authors:

Song Zhen Sun, Yi Guo

Keywords:

Banach Frames, Canonical Frames, Fourier Transfer, Frame Operator, Tight Wavelet Frames, Time-Frequency Analysis Method, Tivariate, Wavelet Frame

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