Minimum-Energy Wavelet Frames on Local Fields

被引：0
|
作者：
Shah F.A. [1 ]
Debnath L. [2 ]
机构：
[1] Department of Mathematics, University of Kashmir, South Campus, Anantnag, 192101, Jammu and Kashmir
[2] Department of Mathematics, University of Texas-Pan, American, Edinburg, 78539, TX
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期
关键词：
Extension principle; Fourier transform; Local field; Minimum-energy frame; Modulation matrix; Polyphase matrix; Wavelet frame;
D O I：
10.1007/s40819-017-0310-z
中图分类号：
学科分类号：
摘要：
To overcome the computational complexity, numerical instability and the complication of change of bases problem, we introduce the concept of minimum-energy wavelet frame on local fields of positive characteristic and present its equivalent characterizations in terms of their wavelet masks. Besides, in view of polyphase representation of the wavelet masks, we give a necessary and sufficient condition for the existence of minimum-energy wavelet frames on local fields. At last, we present the decomposition and reconstruction formulae of minimum-energy wavelet frame for L 2 (K). © 2017, Springer India Pvt. Ltd.
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页码：3455 / 3469
页数：14
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