Real clifford windowed Fourier transform

被引：0
|
作者：
Mawardi Bahri
Sriwulan Adji
Ji Man Zhao
机构：
[1] Hasanuddin University,Department of Mathematics
[2] Universiti Sains Malaysia,School of Mathematical Sciences
[3] Beijing Normal University,School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Multivector-valued function; Clifford analysis; Clifford Fourier transform; uncertainty principle; 15A66; 42B10; 30G35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the windowed Fourier transform in the framework of Clifford analysis, which we call the Clifford windowed Fourier transform (CWFT). Based on the spectral representation of the Clifford Fourier transform (CFT), we derive several important properties such as shift, modulation, reconstruction formula, orthogonality relation, isometry, and reproducing kernel. We also present an example to show the differences between the classical windowed Fourier transform (WFT) and the CWFT. Finally, as an application we establish a Heisenberg type uncertainty principle for the CWFT.
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页码：505 / 518
页数：13
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