Fractional Fourier Transform
Waveform design for communicating radar systems using fractional Fourier transform
... the Fractional Fourier Transform (FrFT), with the aim of preserving the radar performance of a typical Linear Frequency Modulated (LFM) pulse while embedding data to be sent to a cooperative ...
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Radar matched filtering using the fractional fourier transform
... Both target signals are filtered using a 200 kHz Gaussian band pass filter and the FFT of the output is computed. The magnitudes of the spectra are illustrated in Fig. 2. As expected the spectra only depends on the chirp ...
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Support Limited Generalized Uncertainty Relations on Fractional Fourier Transform
... This paper investigates the generalized uncertainty principles of fractional Fourier transform (FRFT) for concentrated data in limited supports. The continuous and discrete generalized uncer- tainty ...
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Image Change Detection by Means of Discrete Fractional Fourier Transform
... the Fractional Fourier transform (FrFT), which can provide results with good precision and better recall values obtained by optimizing its fractional order ...Discrete Fractional ...
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On function spaces with fractional Fourier transform in weighted Lebesgue spaces
... On function spaces with fractional Fourier transform in weighted Lebesgue spaces Erdem Toksoy and Ayşe Sandıkçı* Dedicated to Professor Ravi P Agarwal.. Correspondence: [email protected][r] ...
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Properties of Airy-Gauss Beams in the Fractional Fourier Transform Plane
... versus fractional order p is ...versus fractional order p is ...of fractional order p in the first half period, the centre of gravity, linear momentum, and kurtosis parameter increase, while the ...
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Application of the Fractional Fourier Transform to Moving Train Imaging
... Abstract—This paper introduces an imaging algorithm with application of fractional Fourier transform (FrFT) for ground moving train imaging by Ku-band ground-based radar. In view of the fact that the ...
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A fractional Fourier transform analysis of the scattering of ultrasonic waves
... The fractional Fourier transform (FrFT) is applied to an inhomogeneous wave equation where the forcing function is prescribed as a linear chirp, modulated by a Gaussian ...inverse Fourier ...
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Acoustic Seabed and Target Classification using Fractional Fourier Transform and Time-Frequency Transform Techniques
... the Fractional Fourier transform (FrFT), that is a generalization of the classical Fourier ...the Fourier transform, the FrFT has been proven to be related to other time-vaying ...
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Satellite Image Compression using Fractional Fourier Transform
... ordinary Fourier transform (FT), introduced to quantum mechanics by Namias in 1980 [2], then rediscovered in optics [4]-[6] and introduced to the signal processing community by Almeida in 1994 ...continuous ...
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IMAGE ENCRYPTION USING FRACTIONAL FOURIER TRANSFORM IN DRPE SCHEME
... plane, fractional Fourier transform proves to be a better ...of fractional Fourier transform ,(FRFT )offers an extra degree of freedom in signal ...
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A New LFM-Signal Detector Based on Fractional Fourier Transform
... using fractional autocorrelation, which corresponds to the envelope detector of Radon-ambiguity transform, is proposed ...the fractional Fourier ...Radon-ambiguity transform and ...
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Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... using fractional powers of the Fourier Transform on the Schwartz space (Bailey and Swartzrauber, 1991) compute the Fractional Fourier transforms using Fast Fourier Transforms ...
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The Fractional Fourier Transform and Its Application to Energy Localization Problems
... the fractional Fourier transform (FRFT) and the Wigner distribution on a signal in a cascade fashion is equivalent to a rotation of the time and frequency parameters of the Wigner ...generalized ...
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Poisson Summation Formula for Two dimensional Fractional Fourier Transform
... dimensional fractional Fourier transform ...dimensional fractional Fourier ...dimensional fractional Fourier transform, we observed that two dimensional ...
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A Novel Video Encryption and Decryption Scheme based on Discrete Wavelet Transform and Fractional Fourier Transform
... 1 p and 1 q m , where m = No. of frames in the video For simplicity, the frame size can be considered to be n x n. We propose two different frame encryption and decryption algorithms. These algorithms use DWT, ...
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Operational Calculus on Generalized Two-Dimensional Offset Fractional Fourier Transform
... of Fourier transform, the Fractional Fourier transform (FRFT) contains simultaneity the time- frequency information of the signal and is considered as a new tool for time frequency ...
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REVIEW PAPER ON FRACTIONAL FOURIER TRANSFORM
... the Fourier operators appears in mathematical literature proposed by Wiener in ...[1][7]. Fractional Fourier Transform, commonly referred to as FRFT is the generalization of the Fourier ...
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THEKERNEL OF N- DIMENSIONAL FRACTIONAL FOURIER TRANSFORM
... 2-dimensional fractional Fourier transform is also the generalization of 2-dimensional Fourier transform several properties of (2-D) FRFT have been developed by generalizing the ...
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A sampling theorem for the fractional Fourier transform without band-limiting constraints
... The fractional Fourier transform (FRFT), which generalizes the Fourier transform (FT), has received much attention in recent years due to its nu- merous applications [1–5], including in ...
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