A general framework for sampling and reconstruction in function spaces associated with fractional Fourier transform

2015 ◽  
Vol 107 ◽  
pp. 319-326 ◽  
Author(s):  
Xiaoping Liu ◽  
Jun Shi ◽  
Xuejun Sha ◽  
Naitong Zhang
Keyword(s):  
Fourier Transform ◽  
General Framework ◽  
Fractional Fourier Transform ◽  
Function Spaces ◽  
Sampling And Reconstruction

A New Study of Shape and Size-dependent Properties of Nanocrystals Utilizing the Fractional Fourier Transform

2020 ◽  
Vol 5 (2) ◽  
pp. 165-174
Author(s):  
Aeshah Salem
Keyword(s):  
Fourier Transform ◽  
Infrared Spectroscopy ◽  
Fourier Transform Infrared Spectroscopy ◽  
Surface Area ◽  
Fractional Fourier Transform ◽  
Fourier Transform Infrared ◽  
Chemical Dynamics ◽  
Znse Nanoparticles ◽  
Size Dependent ◽  
Shape And Size

Background: Possessions of components, described by their shape and size (S&S), are certainly attractive and has formed the foundation of the developing field of nanoscience. Methods: Here, we study the S&S reliant on electronic construction and possession of nanocrystals by semiconductors and metals to explain this feature. We formerly considered the chemical dynamics of mineral nanocrystals that are arranged according to the S&S not only for the big surface area, but also as a consequence of the considerably diverse electronic construction of the nanocrystals. Results: The S&S of models, approved by using the Fractional Fourier Transform Infrared Spectroscopy (FFTIR), indicate the construction of CdSe and ZnSe nanoparticles. Conclusion: In order to study the historical behavior of the nanomaterial in terms of S&S and estimate further results, the FFTIR was used to solve this project.

Computer-generated hologram of asymmetry fractional Fourier transform

2005 ◽  
Author(s):  
Zhaoxuan Sheng ◽  
Hongxia Wang ◽  
Junfa He ◽  
Youjie Zhou ◽  
Jun Wang ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Fractional Fourier Transform ◽  
Computer Generated Hologram
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