A Note on Operator Sampling and Fractional Fourier Transform

Qingyue Zhang

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A Note on Operator Sampling and Fractional Fourier Transform

机译：关于运算符采样和分数阶傅里叶变换的注释

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This paper presents that the kernel of the fractional Fourier transform (FRFT) satisfies the operator version of Kramer's Lemma (Hong and Pfander, 2010), which gives a new applicability of Kramer's Lemma. Moreover, we give a new sampling formulae for reconstructing the operators which are bandlimited in the FRFT sense.

机译：本文提出分数阶傅里叶变换（FRFT）的内核满足Kramer's Lemma的算子版本（Hong and Pfander，2010），这为Kramer's Lemma提供了新的适用性。此外，我们给出了一个新的采样公式，用于重构在FRFT意义上有带宽限制的运算符。

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来源
《Mathematical Problems in Engineering》 |2011年第3期|p.1-9|共9页
作者
Qingyue Zhang;
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Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China;

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正文语种 eng
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1. A Note on Operator Sampling and Fractional Fourier Transform [J] . QingyueZhang Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第6期

机译：关于运算符采样和分数阶傅里叶变换的注释
2. Fractional fourier transform in the framework of fractional calculus operators [J] . Kilbas A.A., Luchko Y.F., Martínez H., Integral transforms and special functions . 2010,第9a10期

机译：分数微积分算子框架中的分数阶傅里叶变换
3. Fractional Fourier transform in the framework of fractional calculus operators [J] . A. A. Kilbasa Yu. F. Luchkob* H. MartÃnezc, J. J. Trujillod Integral Transforms and Special Functions . 2010,第10期

机译：分数微积分算子框架中的分数阶傅里叶变换
4. Fractional Fourier Transform Operators under Different Kernel Sampling Matrixes and the Applications in Image Encryption [C] . Tang, Lin-Lin, Huang, Chun Ta, Pan, Jeng-Shyang International Conference on Instrumentation, Measurement, Computer, Communication and Control;IMCCC 2012 . 2012

机译：不同核采样矩阵下的分数阶傅里叶变换算子及其在图像加密中的应用
5. Unitary and Hermitian fractional operators and their extensions: Fractional Mellin transform, joint fractional representations and fractional correlations. [D] . Akay, Olcay. 2000

机译：ary和Hermitian分数算子及其扩展：分数Mellin变换，联合分数表示和分数相关。
6. Nyquist Zone Index and Chirp Rate Estimation of LFM Signal Intercepted by Nyquist Folding Receiver Based on Random Sample Consensus and Fractional Fourier Transform [O] . Xinqun Liu, Tao Li, Xiaolei Fan, 2019

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7. Fractional Fourier transform description with use of differential operators [O] . B. Ruiz, H. Rabal 1997

机译：使用差分运算符的分数傅里叶变换说明

A Note on Operator Sampling and Fractional Fourier Transform

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