Results 311 to 320 of about 89,376 (355)

Implementation of quantum discrete fractional Fourier transform

Quantum Information and Measurement (QIM) 2017, 2017
In this work we experimentally demonstrate the realization of the discrete fractional Fourier transforms (DFrFT) in both the classical and quantum realm. Our approach is fully integrated and free of bulk optical components.
Markus Gräfe, Steffen Weimann, Armando Perez-Leija, Maxime Lebugle, Robert Keil, René Heilmann, Stefan Nolte, Gregor Weihs, Demetrios N. Christodoulides, Alexander Szameit   +9 more
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Geometry and dynamics in the fractional discrete Fourier transform

Journal of the Optical Society of America A, 2007
The N x N Fourier matrix is one distinguished element within the group U(N) of all N x N unitary matrices. It has the geometric property of being a fourth root of unity and is close to the dynamics of harmonic oscillators. The dynamical correspondence is exact only in the N-->infinity contraction limit for the integral Fourier transform and its ...
Kurt Bernardo, Wolf, Guillermo, Krötzsch   +1 more
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On the multiangle centered discrete fractional Fourier transform

IEEE Signal Processing Letters, 2005
Existing versions of the discrete fractional Fourier transform (DFRFT) are based on the discrete Fourier transform (DFT). These approaches need a full basis of DFT eigenvectors that serve as discrete versions of Hermite-Gauss functions. In this letter, we define a DFRFT based on a centered version of the DFT (CDFRFT) using eigenvectors derived from the
J.G. Vargas-Rubio, B. Santhanam
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Research progress on discretization of fractional Fourier transform

Science in China Series F: Information Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tao, Ran, Zhang, Feng, Wang, Yue
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Discrete fractional Fourier transform computation by adaptive method

Optical Engineering, 2013
The continuous fractional Fourier transform (FRFT) can be interpreted as a rotation of a signal in the time-frequency plane and is a powerful tool for analyzing and processing nonstationary signals. Because of the importance of the FRFT, the discrete fractional Fourier transform (DFRFT) has recently become an important issue. We present the computation
Feng Zhang, Ran Tao, Yue Wang
openaire   +1 more source

Robust digital image watermarking Scheme based on discrete fractional fourier transform

, 2019
In order to protect images from unauthentic distortions, the watermarking methods provide a noteworthy solution to such problems. This paper proposes a new image watermarking method in Discrete Fractional Fourier Transform (DFrFT) domain. In this scheme,
Shubhra Saxena, Vibhu Sharma, Vivek Singh Verma, Anuj Bhardwaj   +3 more
semanticscholar   +1 more source

Improved spectrograms using the discrete Fractional Fourier transform

2013 IEEE Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE), 2013
The conventional spectrogram is a commonly employed, time-frequency tool for stationary and sinusoidal signal analysis. However, it is unsuitable for general non-stationary signal analysis [1]. In recent work [2], a slanted spectrogram that is based on the discrete Fractional Fourier transform was proposed for multicomponent chirp analysis, when the ...
Oktay Agcaoglu, Balu Santhanam, Majeed Hayat   +2 more
openaire   +1 more source

Rotor Fault Identification of Induction Motor Based on Discrete Fractional Fourier Transform

International Symposium on Computer, Consumer and Control, 2018
While the rotor of a variable frequency induction motor malfunctions, the signal change of stator current will reflect this fault. This paper proposes an identification method of rotor fault for induction motor based on discrete fractional Fourier ...
Feng‐Chang Gu, Jian-Yong Bian, Chun-Liang Hsu, Hung-Cheng Chen, Shiue‐Der Lu   +4 more
semanticscholar   +1 more source

Closed-form discrete fractional and affine Fourier transforms

IEEE Transactions on Signal Processing, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei, Soo-Chang, Ding, Jian-Jiun
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A Discrete Fractional Fourier Transform

2019
Some properties of the XFT as a discrete fractional Fourier transform and as a linear canonical transform are given in this chapter. The eigenvectors of the discrete fractional Fourier transform are obtained and the discrete canonical coherent states are studied.
openaire   +1 more source