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fractional fourier transform (FrFT)

Operational Calculus on Generalized Two-Dimensional Offset Fractional Fourier Transform

Operational Calculus on Generalized Two-Dimensional Offset Fractional Fourier Transform

... linear transform generalized from the conventional Fourier ...the Fractional Fourier transform are well known in signal community and processing applied into information encryption and ...

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Moving Target Indication via Three-Antenna SAR with Simplified Fractional Fourier Transform

Moving Target Indication via Three-Antenna SAR with Simplified Fractional Fourier Transform

... the fractional Fourier transform (FrFT) is a powerful ...conventional FrFT is redundant for moving targets detection ...simplified FrFT (SFrFT) and three- antenna SAR combined ...

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A fractional Fourier transform analysis of the scattering of ultrasonic waves

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 ...

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REVIEW PAPER ON FRACTIONAL FOURIER TRANSFORM

REVIEW PAPER ON FRACTIONAL FOURIER TRANSFORM

... Fractional Fourier Transform (FRFT) is generalization of the Classical Fourier Transform ...The FRFT is realized based on a special parameter α, which is known as an angle ...

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THEKERNEL OF N- DIMENSIONAL FRACTIONAL FOURIER TRANSFORM

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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An efficient and accurate GB-SAR imaging algorithm based on the fractional Fourier transform

An efficient and accurate GB-SAR imaging algorithm based on the fractional Fourier transform

... the fractional Fourier transform (FrFT) is developed under the assumption of the linear aperture and the pseudopolar ...the fractional Fourier transform was also ...

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Fractional fourier transform based waveform for a joint radar-communication system

Fractional fourier transform based waveform for a joint radar-communication system

... novel Fractional Fourier Transform (FrFT) [17], [18] based waveform design is presented for joint radar- communication systems ...other. FrFT waveforms have already been demonstrated to ...

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Poisson Summation Formula for Two dimensional Fractional Fourier Transform

Poisson Summation Formula for Two dimensional Fractional Fourier Transform

... “The Fractional Fourier Transform in optical propagation problems”, ...“The Fractional order Fourier Transform and its application to quantum mechanics”, ...

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Application of Fractional Fourier Transform to Moving Target Indication via Along-Track Interferometry

Application of Fractional Fourier Transform to Moving Target Indication via Along-Track Interferometry

... the FrFT process- ing are shown in Figures 9d, 9e, and ...the FrFT, which gives not only much cleaner and better defined phases but also correct values compared to their true ...

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Multiple Image Encryption using Fractional Multiresolution Transforms

Multiple Image Encryption using Fractional Multiresolution Transforms

... to transform the message in which its original information can only be reconstructed by a desired ...various Fractional Multiresolutional transforms followed by ...witnessed Fractional Fourier ...

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Recognition Method Based on Wigner Hough Transform for Poly Phase Code Radar Signal

Recognition Method Based on Wigner Hough Transform for Poly Phase Code Radar Signal

... the fractional Fourier transform (FRFT) method, by analyz- ing the micro characteristics of polyphase code signals in time and frequency domain ...Wigner-Hough transform (WHT) is ...

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Distributional Generalized Two Dimensional Fractional Sine Transform and Its Operators

Distributional Generalized Two Dimensional Fractional Sine Transform and Its Operators

... of FrFT in its application has promoted the development of other kinds of fractional transforms like fractional Hartley transform, fractional Hadamard transform, ...

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Convolution Theorem for Generalized Two Dimensional Fractional Sine Transform

Convolution Theorem for Generalized Two Dimensional Fractional Sine Transform

... of fractional transforms to generalized function have been done time to time and their properties have been studied by various ...mathematicians. Fourier transform is a very powerful tool for ...

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An Effective Strategy for Defense & Medical Pictures Security by Singular Value Decomposition

An Effective Strategy for Defense & Medical Pictures Security by Singular Value Decomposition

... Above listed approach predicated on secret sharing strate- gies are extremely vulnerable to channel mistake. If a single pixel in share is influenced, it distorts T pixels in the recon- structed image, where T ...

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Target Classification with Low-Resolution Radars Based on Multifractal Features in Fractional Fourier Domain

Target Classification with Low-Resolution Radars Based on Multifractal Features in Fractional Fourier Domain

... [3–9]. Fractional Fourier transform (FrFT) is a generalized form of Fourier transform (FT), which combines the information both from time domain and frequency ...introduced ...

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Applications of Quantum Physics on  Resistivity, Dielectricity, Giant Magneto  Resistance, Hall Effect and Conductance

Applications of Quantum Physics on Resistivity, Dielectricity, Giant Magneto Resistance, Hall Effect and Conductance

... whrer D is the displacement of charge either on an electron or in many electrons system, λ the wavelength of the interacting photons and “≡” congruent operator. Using fractional Fourier transform ...

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On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions

On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions

... The fractional Fourier transform (FrFT), which is a generalization of the classical Fourier transform (FT), was introduced many years ago for solving the differential equation in ...

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Filtering in Time Frequency Domain using STFrFT

Filtering in Time Frequency Domain using STFrFT

... The Fractional Fourier Transform is a generalized form of Fourier Transform, which can be interpreted as a rotation by angle α in time-frequency plane or decomposition of signals in ...

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Detection of Restoration Faults under Fillings in Human Teeth using Ultrasound

Detection of Restoration Faults under Fillings in Human Teeth using Ultrasound

... the fractional Fourier transform with long duration LFM chirp ...The FrFT allows frequency modulated signals overlapping in time and frequency to be ...

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MODULATION AND PARSEVALS RELATION OF GENERALIZED TWO DIMENSIONAL FRACTIONAL COSINE TRANSFORM

MODULATION AND PARSEVALS RELATION OF GENERALIZED TWO DIMENSIONAL FRACTIONAL COSINE TRANSFORM

... Fractional Cosine Transform (FRCT) is a generalization of the ordinary cosine transform and it has similar relationship with Fractional Fourier Transform (FRFT) as the ...

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