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[PDF] Top 20 The Fractional Fourier Transform and Its Application to Energy Localization Problems

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The Fractional Fourier Transform and Its Application to Energy Localization Problems

The Fractional Fourier Transform and Its Application to Energy Localization Problems

... on energy conserving (unitary) operators that correspond to classes of a ffi ne trans- formations in the Wigner ...solving energy localization problems in the Wigner ...of energy ... See full document

8

Application of the Fractional Fourier Transform to Moving Train Imaging

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 ... See full document

11

The multi weighted type fractional fourier transform scheme and its application over wireless communications

The multi weighted type fractional fourier transform scheme and its application over wireless communications

... type fractional Fourier transform (multi-WFRFT) schemes, we in this paper provide the modulation order relation of different multi-WFRFT in ...discuss its potential applications over secure ... See full document

10

Pitch- and Formant-Based Order Adaptation of the Fractional Fourier Transform and Its Application to Speech Recognition

Pitch- and Formant-Based Order Adaptation of the Fractional Fourier Transform and Its Application to Speech Recognition

... Fractional Fourier transform, as a new time-frequency analysis tool, is attracting more and more attention in signal processing ...the fractional Fourier transform are used to ... See full document

14

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

... configured in its along-track interferometer mode [14]. The study focuses on targets of opportunity (TOOs) on High- way 17, which runs through the experimental site. The high- way was monitored by two video ... See full document

11

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

... the application of target classification in consequence of the limitations of conventional low-resolution radar ...[3–9]. Fractional Fourier transform (FrFT) is a generalized form of ... See full document

10

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 ... See full document

5

REVIEW PAPER ON FRACTIONAL FOURIER TRANSFORM

REVIEW PAPER ON FRACTIONAL FOURIER TRANSFORM

... It is a method ofencoding digital data on multiple carrier frequencies. Orthogonal frequency division multiplexing (OFDM) has recently become a key modulation technique for both broadband wireless and wire- line ... See full document

12

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 ...primary application and hence a method is proposed for securing multiple images during ... See full document

7

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 quantum ... See full document

10

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

... and Fourier transform infrared spectroscopies ...of fractional charge quantization with newly developed theory is coined to look into the shape of eigenfunctions, determine the energy ... See full document

8

Distributional Generalized Two Dimensional Fractional Sine Transform and Its Operators

Distributional Generalized Two Dimensional Fractional Sine Transform and Its Operators

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

10

Separation and localization of multiple distributed wideband chirps using the fractional Fourier transform

Separation and localization of multiple distributed wideband chirps using the fractional Fourier transform

... practical application, which will cause the angular spread, such as the local scattering source in the mobile multipath environment, the distributed target reflection wave in the low-elevation radar target tracing ... See full document

8

Discrete Inequalities on LCT

Discrete Inequalities on LCT

... Linear canonical transform (LCT) is widely used in physical optics, mathematics and information processing. This paper investigates the generalized uncertainty principles, which plays an impor- tant role in ... See full document

7

Convolution theorem for generalized two dimensional fractional cosine transform

Convolution theorem for generalized two dimensional fractional cosine transform

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

5

Study and Analysis of Fourier Transformation

Study and Analysis of Fourier Transformation

... de Fourier came up with this piece of maths in his thirties after puzzling over problems with ...that fourier analysis is used in almost every aspect of the subject ranging from solving linear ... See full document

10

THEKERNEL OF N- DIMENSIONAL FRACTIONAL FOURIER TRANSFORM

THEKERNEL OF N- DIMENSIONAL FRACTIONAL FOURIER TRANSFORM

... N-dimensional fractional Fourier transform by extending the definition of first dimensional fractional Fourier ...of fractional Fourier ...of fractional ... See full document

6

A fractional Fourier transform analysis of the scattering of ultrasonic waves

A fractional Fourier transform analysis of the scattering of ultrasonic waves

... be assumed that the integral is zero outside this interval (the received signal will not contain any frequencies outside of the bandwidth). This approach also resolves any issues around the singularity in the integrand ... See full document

14

Radar matched filtering using the fractional fourier transform

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 ... See full document

6

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 ... See full document

5

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