Paley–Wiener theorems and uncertainty principles for the windowed linear canonical transform
Paley–Wiener theorems and uncertainty principles for the windowed linear canonical transform
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DOI：
10.1002/mma.2642
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发表时间：
2012-11
影响因子：
2.9
通讯作者：
K. Kou;Rui-Hui Xu;Yan‐Hui Zhang
中科院分区：
文献类型：
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作者：
K. Kou;Rui-Hui Xu;Yan‐Hui Zhang
在最近的一篇文章中，作者介绍了加窗线性正则变换，并展示了它的良好性质及其在Poisson求和公式、采样内插、级数展开等方面的一些应用。本文证明了加窗线性正则变换的Paley-Wiener定理和测不准原理。它们在文献中是新的，并产生了一些后果，目前正在调查中。版权所有©2012 John Wiley&Sons，Ltd.
In a recent paper, the authors have introduced the windowed linear canonical transform and shown its good properties together with some applications such as Poisson summation formulas, sampling interpolation, and series expansion. In this paper, we prove the Paley–Wiener theorems and the uncertainty principles for the (inverse) windowed linear canonical transform. They are new in literature and has some consequences that are now under investigation. Copyright © 2012 John Wiley & Sons, Ltd.