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fractional Fourier transform domain

Optimal Step Size for the Adaptive Least-Mean Squares Algorithm Applied in the Fractional Fourier Transform Domain for Efficient Signal Estimation in Interference and Noise

Optimal Step Size for the Adaptive Least-Mean Squares Algorithm Applied in the Fractional Fourier Transform Domain for Efficient Signal Estimation in Interference and Noise

... As was first proposed in [10], we can perform all of the above operations to improve performance in the presence of non-stationarity by first transforming all of the variables into the Fractional Fourier ...

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Filtering in Time Frequency Domain using STFrFT

Filtering in Time Frequency Domain using STFrFT

... time domain to frequency ...appropriate fractional Fourier domain when it is not possible to separate the signal and noise in space or frequency as shown in figure below: ...

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Generalized Parseval’s Theorem on Fractional Fourier Transform for Discrete Signals and Filtering of LFM Signals

Generalized Parseval’s Theorem on Fractional Fourier Transform for Discrete Signals and Filtering of LFM Signals

... We know that in frequency domain, often the main spec- trum energy only occupies small region, but the rest small spectrum energy occupies the most region. Instead, the noise (especially the Gaussian white noise) ...

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Radar matched filtering using the fractional fourier transform

Radar matched filtering using the fractional fourier transform

... frequency domain by applying Fourier Transform (FT). Fractional Fourier transform (FrFT) is the general case for the FT and is superior in chirp pulse compression using the ...

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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

... To build a mathematical framework to allow for analysis of the scattering of an ultrasonic chirp by a flaw, the wave equation with a time-dependent forcing function, q(t), will be solved in the time–frequency space. Note ...

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

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

... where sgn( · ) denotes the sign function. When α is outside the interval [ − π, π], we simply need to replace α by its modulo 2π equivalent lying in this interval and use this value in (3). The u axis is regarded as the ...

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Discrete Entropic Uncertainty Relations Associated with FRFT

Discrete Entropic Uncertainty Relations Associated with FRFT

... of fractional Fourier transform (FRFT), ana- log generalized uncertainty relations associated with FRFT have been carefully explored in some papers such as [3,4,16], which effectively enrich the ...

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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 ...transformation domain, it is a preferable domain for encryption of digital ...various ...

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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 ...

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Satellite Image Compression using Fractional Fourier Transform

Satellite Image Compression using Fractional Fourier Transform

... It is conclude that, a technique for Satellite image compression using DFrFT makes the full use of the additional degrees offreedom provided by the fractional orders to achieve an optimum domain for which ...

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Convolution Theorem for Generalized Two Dimensional Fractional Sine Transform

Convolution Theorem for Generalized Two Dimensional Fractional Sine Transform

... Email:- [email protected], http://www.euroasiapub.org 15 those symmetrically extended sequences in the spatial domain. Convolution plays a very important role in the theory of integral transform. ...

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Application of the Fractional Fourier Transform to Moving Train Imaging

Application of the Fractional Fourier Transform to Moving Train Imaging

... changed during the imaging time, but if they are treated as constants and used for calculating Doppler parameters through (8), then we can not get a well-focused image. One efficient way to solve the problem is to divide ...

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Operational Calculus on Generalized Two-Dimensional Offset Fractional Fourier Transform

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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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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Can Schrödinger and Heisenberg Make a Contribution to the Spectral Analysis of Signals?

Can Schrödinger and Heisenberg Make a Contribution to the Spectral Analysis of Signals?

... The Fourier transform is called the frequency domain representation of the original signal.. The.[r] ...

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Volume 3, Issue 4, April 2014 Page 105

Volume 3, Issue 4, April 2014 Page 105

... Therefore this work presents a unique solution for hiding an image behind another image of the same scale and size. The idea can be perceived at achieving image steganography of 1BPP. The technique relies on spectral ...

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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

... Having detected the targets and extracted their tracks or range histories (see Section 4 and Figure 8) from the range- compressed but azimuth-uncompressed fore and aft data pair, each target is individually analyzed via ...

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Study and Analysis of Fourier Transformation

Study and Analysis of Fourier Transformation

... 'frequency domain' ...the Transform not shown on such a graph, we can look at the 'angle' information of the raw results which might tell us that the coldest day isn't January 1st, and midnight isn't the ...

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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

... significant and delicate information in the medicinal informatics frameworks. For exchanging secure pictures over an unreliable system, building up a safe encryption technique is vital. In this quick creating universe of ...

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