Minimum-Energy Multiwavelet Frame on the Interval [0,1]

Minimum-Energy Multiwavelet Frame on the Interval [0,1]

Drawing inspiration from the idea of combining multiwavelets on the interval with frame theory organically, we study minimum-energy multiwavelet frame on the interval [0,1] (MEMWFI). Firstly, left boundary multiscalingfunctions, right boundary multiscaling functions, and the definition of MEMWFI are...

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Veröffentlicht in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-19
Hauptverfasser: Li, Qiufu, Feng, Xiao, Yongdong, Huang, Fengjuan, Zhu
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Boundaries
Energy
Engineering
Equivalence
Frames
Hilbert space
Inspiration
Intervals
Mathematical analysis
Mathematical models
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Zusammenfassung:Drawing inspiration from the idea of combining multiwavelets on the interval with frame theory organically, we study minimum-energy multiwavelet frame on the interval [0,1] (MEMWFI). Firstly, left boundary multiscalingfunctions, right boundary multiscaling functions, and the definition of MEMWFI are put forward, and the equivalent characterizations ofMEMWFI are given. Then, two algorithms of constructing MEMWFI are proposed. Finally, the decomposition formula, reconstruction formulas, and numerical examples are given.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/262637