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Dual wavelet frame packets with non-square iterative matrices. (English) Zbl 1542.42042

This paper is based on the construction of dual wavelet frames from non-GMRA wavelet frames and wavelet frame packets from GMRAs to obtain a better time-frequency structure. For this purpose, the author describes an algorithm using a non-square iterative matrix. Also, for the obtained wavelet frame packets, he gives decomposition and reconstruction formulas.

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
42C15 General harmonic expansions, frames
Full Text: DOI

References:

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