An uncertainty principle for real signals in the fractional Fourier transform domain

S. Shinde; V.M. Gadre

doi:10.1109/78.960402

An uncertainty principle for real signals in the fractional Fourier transform domain

IEEE Transactions on Signal Processing ◽

10.1109/78.960402 ◽

2001 ◽

Vol 49 (11) ◽

pp. 2545-2548 ◽

Cited By ~ 81

Author(s):

S. Shinde ◽

V.M. Gadre

Keyword(s):

Fourier Transform ◽

Uncertainty Principle ◽

Fractional Fourier Transform ◽

Transform Domain ◽

Fourier Transform Domain

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Images of optical periodic elements in the fractional Fourier transform domain

10.1117/12.639913 ◽

2005 ◽

Author(s):

Mykhailo V. Shovgenyuk ◽

Yura M. Kozlovskii

Keyword(s):

Fourier Transform ◽

Fractional Fourier Transform ◽

Transform Domain ◽

Fourier Transform Domain

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Double image encryption using phase-shifting interferometry and random mixed encoding method in fractional Fourier transform domain

Optical Engineering ◽

10.1117/1.oe.52.8.084101 ◽

2013 ◽

Vol 52 (8) ◽

pp. 084101 ◽

Cited By ~ 4

Author(s):

Qu Wang ◽

Qing Guo ◽

Liang Lei ◽

Jinyun Zhou

Keyword(s):

Fourier Transform ◽

Image Encryption ◽

Fractional Fourier Transform ◽

Phase Shifting ◽

Transform Domain ◽

Double Image ◽

Phase Shifting Interferometry ◽

Encoding Method ◽

Fourier Transform Domain

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Closed-Form Analytical Expression of Fractional Order Differentiation in Fractional Fourier Transform Domain

Circuits Systems and Signal Processing ◽

10.1007/s00034-012-9548-1 ◽

2013 ◽

Vol 32 (4) ◽

pp. 1875-1889 ◽

Cited By ~ 14

Author(s):

Sanjay Kumar ◽

Kulbir Singh ◽

Rajiv Saxena

Keyword(s):

Fourier Transform ◽

Closed Form ◽

Fractional Order ◽

Fractional Fourier Transform ◽

Transform Domain ◽

Analytical Expression ◽

Fourier Transform Domain

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Multiple-Image Multiplexing Encryption Based on Modified Gerchberg-Saxton Algorithm and Phase Modulation in Fractional Fourier Transform Domain

Computational Collective Intelligence. Technologies and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-642-16693-8_8 ◽

2010 ◽

pp. 74-80 ◽

Cited By ~ 1

Author(s):

Hsuan T. Chang ◽

Hone-Ene Hwang

Keyword(s):

Fourier Transform ◽

Phase Modulation ◽

Fractional Fourier Transform ◽

Transform Domain ◽

Multiple Image ◽

Fourier Transform Domain

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Chaotic encryption of images in the fractional Fourier transform domain using different modes of operation

Signal Image and Video Processing ◽

10.1007/s11760-013-0490-x ◽

2013 ◽

Vol 9 (3) ◽

pp. 611-622 ◽

Cited By ~ 12

Author(s):

Heba M. Elhoseny ◽

Hossam E. H. Ahmed ◽

Alaa M. Abbas ◽

Hassan B. Kazemian ◽

Osama S. Faragallah ◽

...

Keyword(s):

Fourier Transform ◽

Fractional Fourier Transform ◽

Transform Domain ◽

Chaotic Encryption ◽

Modes Of Operation ◽

Fourier Transform Domain

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Beam shaping in the fractional Fourier transform domain

Journal of the Optical Society of America A ◽

10.1364/josaa.15.001114 ◽

1998 ◽

Vol 15 (5) ◽

pp. 1114 ◽

Cited By ~ 66

Author(s):

Yan Zhang ◽

Bi-Zhen Dong ◽

Ben-Yuan Gu ◽

Guo-Zhen Yang

Keyword(s):

Fourier Transform ◽

Fractional Fourier Transform ◽

Beam Shaping ◽

Transform Domain ◽

Fourier Transform Domain

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Color image cryptosystem using Fresnel diffraction and phase modulation in an expanded fractional Fourier transform domain

Laser Physics ◽

10.1088/1555-6611/aab240 ◽

2018 ◽

Vol 28 (5) ◽

pp. 055402 ◽

Cited By ~ 3

Author(s):

Hang Chen ◽

Zhengjun Liu ◽

Qi Chen ◽

Walter Blondel ◽

Pierre Varis

Keyword(s):

Fourier Transform ◽

Phase Modulation ◽

Fractional Fourier Transform ◽

Color Image ◽

Fresnel Diffraction ◽

Transform Domain ◽

Image Cryptosystem ◽

Fourier Transform Domain

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Design of diffractive optical elements for the fractional Fourier transform domain: phase-space approach

Applied Optics ◽

10.1364/ao.45.000076 ◽

2006 ◽

Vol 45 (1) ◽

pp. 76 ◽

Cited By ~ 3

Author(s):

Markus Testorf

Keyword(s):

Fourier Transform ◽

Phase Space ◽

Fractional Fourier Transform ◽

Transform Domain ◽

Diffractive Optical Elements ◽

Optical Elements ◽

Domain Phase ◽

Fourier Transform Domain ◽

Space Approach

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On single channel sampling in shift-invariant spaces associated with the fractional Fourier transform domain

2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA) ◽

10.1109/apsipa.2016.7820848 ◽

2016 ◽

Cited By ~ 1

Author(s):

Sinuk Kang

Keyword(s):

Fourier Transform ◽

Fractional Fourier Transform ◽

Single Channel ◽

Transform Domain ◽

Shift Invariant Spaces ◽

Invariant Spaces ◽

Fourier Transform Domain

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Generalized Sampling Expansions with Multiple Sampling Rates for Lowpass and Bandpass Signals in the Fractional Fourier Transform Domain

IEEE Transactions on Signal Processing ◽

10.1109/tsp.2016.2560148 ◽

2016 ◽

Vol 64 (18) ◽

pp. 4861-4874 ◽

Cited By ~ 66

Author(s):

Deyun Wei ◽

Yuan-Min Li

Keyword(s):

Fourier Transform ◽

Fractional Fourier Transform ◽

Transform Domain ◽

Generalized Sampling ◽

Multiple Sampling ◽

Bandpass Signals ◽

Sampling Expansions ◽

Fourier Transform Domain

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