Fractional Fourier transform for partially coherent beam in spatial-frequency domain

2004 ◽  
Vol 13 (7) ◽  
pp. 1025-1032 ◽  
Author(s):  
Cai Yang-Jian ◽  
Lin Qiang
Keyword(s):  
Fourier Transform ◽  
Spatial Frequency ◽  
Frequency Domain ◽  
Fractional Fourier Transform ◽  
Coherent Beam ◽  
Partially Coherent ◽  
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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