Self-fractional Fourier transforms

机译：自分数傅里叶变换

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摘要

We show that the Montgomery objects are self-fractional-Fourier transforms. We relate, with a simple formula, the order of self-imaging with the fractional order of the Fourier transform.

机译：我们表明蒙哥马利对象是自分数傅里叶变换。我们涉及简单的公式，自我成像的顺序与傅里叶变换的分数顺序。

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《Iberoamerican optics meeting》|1998年||共5页
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Albertina Castro; Jorge Ojeda-Castaneda;
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中图分类应用光学;
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专利

1. Uniqueness of self-fractional Fourier transform with irrational order and a supplement to Caola-Mendlovic, Ozaktas and Lohmann's rule [J] . L.Z. Cheng Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 2000,第4a6期

机译：具有不合理阶数的自分数阶傅里叶变换的唯一性，以及对Caola-Mendlovic，Ozaktas和Lohmann法则的补充
2. Hybrid image fusion scheme using self-fractional Fourier functions and multivariate empirical mode decomposition [J] . J.B. Sharma, K.K. Sharma, Vineet Sahula Signal processing . 2014,第JULa期

机译：利用自分数阶傅里叶函数和多元经验模态分解的混合图像融合方案
3. Image fusion based on image decomposition using self-fractional Fourier functions - Springer [J] . K. K. Sharma, Mohit Sharma Signal, Image and Video Processing . 2014,第7期

机译：使用自分数阶傅里叶函数基于图像分解的图像融合-Springer
4. Self-fractional Fourier transforms [C] . Albertina Castro, Jorge Ojeda-Castaneda Iberoamerican optics meeting . 1998

机译：自分数傅里叶变换
5. Imaging Fourier Transform Spectroscopy from a Space Based Platform -- The Herschel/SPIRE Fourier Transform Spectrometer. [D] . Spencer, Locke Dean. 2009

机译：从基于空间的平台成像傅立叶变换光谱-Herschel / SPIRE傅立叶变换光谱仪。
6. Fourier-Transform Raman and Fourier-Transform Infrared Spectroscopy (An Investigation of Five Higher Plant Cell Walls and Their Components). [O] . CFB. Sene, M. C. McCann, R. H. Wilson, 1994

机译：傅里叶变换拉曼光谱和傅里叶变换红外光谱（对五种高等植物细胞壁及其成分的研究）。
7. Fourier Transform Infrared (FTIR) Spectroscopy, Attenuated Total Reflectance Fourier Transform Infrared (ATR–FTIR) Spectroscopy, Micro–Attenuated Total Reflectance Fourier Transform Infrared (Micro–ATR–FTIR) Spectroscopy, Macro–Attenuated Total Reflectance Fourier Transform Infrared (Macro–ATR–FTIR) Spectroscopy, Two–Dimensional Infrared Correlation Spectroscopy, Linear Two–Dimensional Infrared Spectroscopy, Non–Linear Two–Dimensional Infrared Spectroscopy, Atomic Force Microscopy Based Infrared (AFM–IR) Spectroscopy, Infrared Photodissociation Spectroscopy, Infrared Correlation Table Spectroscopy, Near–Infrared Spectroscopy (NIRS), Mid–Infrared Spectroscopy (MIRS), Nuclear Resonance Vibrational Spectroscopy, Thermal Infrared Spectroscopy and Photothermal Infrared Spectroscopy Comparative Study on Malignant and Benign Human Cancer Cells and Tissues under Synchrotron Radiation with the Passage of Time [O] . Alireza Heidari 2018

机译：傅里叶变换红外（FTIR）光谱，衰减总反射率傅里叶变换红外（ATR-FTIR）光谱，微衰减总反射率傅里叶变换红外（微ATR-FTIR）光谱，宏观衰减总反射率傅立叶变换红外（宏观 - ATR - ftir）光谱，二维红外相关光谱，线性二维红外光谱，非线性二维红外光谱，原子力显微镜的红外（AFM-IR）光谱，红外线光度分离光谱，红外相关表光谱，附近-Infarred光谱学（NIRS），中红外光谱（MIR），核共振振动光谱，热红外光谱和光热红外光谱比较对比较的恶性和良性人体癌细胞和组织在时滞辐射下的时间流逝
8. Comparison of Arithmetic Requirements for the PFA (Prime Factor Algorithm), WFTA (Winograd Fourier Transform Algorithm), SWIFT, MFFT (Mixed Radix Fast Fourier Transform), FFT (Fast Fourier Transform) and DFT (Discrete Fourier Transform) Algorithms. [R] . Hicks, R. C. 1982

机译：pFa（素因子算法），WFTa（Winograd傅立叶变换算法），sWIFT，mFFT（混合基线快速傅里叶变换），FFT（快速傅立叶变换）和DFT（离散傅立叶变换）算法的算术要求的比较。

Self-fractional Fourier transforms

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