Fractional Fourier transform and the diffraction of any misaligned optical system in spatial-frequency domain

2001 ◽  
Vol 33 (7) ◽  
pp. 443-447 ◽  
Author(s):  
Daomu Zhao ◽  
Weichun Zhang ◽  
Fan Ge ◽  
Shaomin Wang
Keyword(s):  
Fourier Transform ◽  
Spatial Frequency ◽  
Frequency Domain ◽  
Optical System ◽  
Fractional Fourier Transform ◽  
Misaligned Optical System ◽  
Spatial Frequency Domain

Experimental observation of localization in the spatial frequency domain of a kicked optical system

2000 ◽  
Vol 61 (5) ◽  
pp. R4694-R4697 ◽  
Author(s):  
Baruch Fischer ◽  
Amir Rosen ◽  
Alexander Bekker ◽  
Shmuel Fishman
Keyword(s):  
Spatial Frequency ◽  
Frequency Domain ◽  
Experimental Observation ◽  
Optical System ◽  
Spatial Frequency Domain

Measurement of Fine-Particle-Velocity under Spatial Frequency Domain Using a Fourier Transform Spectrometer

1999 ◽  
Vol 38 (Part 1, No. 5B) ◽  
pp. 3116-3119
Author(s):  
Koichi Mizutani ◽  
Masahiro Yamazaki ◽  
Masahiro Yoshioka ◽  
Keinosuke Nagai
Keyword(s):  
Fourier Transform ◽  
Spatial Frequency ◽  
Frequency Domain ◽  
Particle Velocity ◽  
Fine Particle ◽  
Fourier Transform Spectrometer ◽  
Spatial Frequency Domain

scholarly journals Sliding signal processing in telecommunication networks based on two-dimensional discrete Fourier transform

2019 ◽  
Vol 30 ◽  
pp. 04013
Author(s):  
Vladimir Ponomarev ◽  
Olga Ponomareva ◽  
Alexey Ponomarev ◽  
Natalya Smirnova
Keyword(s):  
Signal Processing ◽  
Fourier Transform ◽  
Spatial Frequency ◽  
Frequency Domain ◽  
Discrete Fourier Transform ◽  
Telecommunication Networks ◽  
Mathematical Representation ◽  
Two Dimensional ◽  
Discrete Signals ◽  
Spatial Frequency Domain

A method of vertical sliding processing of two-dimensional discrete signals in the spatial frequency domain is proposed — a method of fast vertically sliding two-dimensional discrete Fourier transform. The mathematical representation of the two-dimensional discrete Fourier transform in algebraic and matrix form is considered. An effective method of vertically sliding two-dimensional discrete Fourier transform is proposed. The algorithm developed in the framework of the proposed method allows calculating the coefficients (bins) of this transformation in real time.

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