# Fractional Fourier Transform

### Waveform design for communicating radar systems using fractional Fourier transform

**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

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### Support Limited Generalized Uncertainty Relations on Fractional Fourier Transform

**fractional**

**Fourier**

**transform**(FRFT) for concentrated data in limited supports. The continuous and discrete generalized uncer- tainty ...

11

### Image Change Detection by Means of Discrete Fractional Fourier Transform

**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

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### Properties of Airy-Gauss Beams in the Fractional Fourier Transform Plane

**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

**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

**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

**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

**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 ...

6

### IMAGE ENCRYPTION USING FRACTIONAL FOURIER TRANSFORM IN DRPE SCHEME

**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

**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

**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

**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

**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

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### Operational Calculus on Generalized Two-Dimensional Offset Fractional Fourier Transform

**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 ...

5

### REVIEW PAPER ON FRACTIONAL FOURIER TRANSFORM

**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

**fractional**

**Fourier**

**transform**is also the generalization of 2-dimensional

**Fourier**

**transform**several properties of (2-D) FRFT have been developed by generalizing the ...

6

### A sampling theorem for the fractional Fourier transform without band-limiting constraints

**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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