关于几乎周期函数的分数阶傅里叶变换和连续分数阶波包变换
On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions.
作者信息
Uzun Banu Ünalmış
机构信息
Department of Mathematics, Işık University, Şile, Istanbul 34980 Turkey.
出版信息
J Inequal Appl. 2017;2017(1):126. doi: 10.1186/s13660-017-1402-3. Epub 2017 Jun 2.
Abstract
We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform.
摘要
我们阐述了分数阶傅里叶变换和连续分数阶波包变换，将其作为分析诸如概周期函数和强极限功率信号等持久信号的方法。我们利用这两种变换为概周期函数构建了框架分解。此外，还利用连续分数阶波包变换给出了该信号的一个范数等式。
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