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First Order Fractional Fourier Transform Moment Based on Ambiguity Function.

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Title: First Order Fractional Fourier Transform Moment Based on Ambiguity Function.
Authors: Ghofrani, Sedigheh1 s_ghofrani@azad.ac.ir
Source: Proceedings of the World Congress on Engineering 2011 Volume I. 2011, p743-746. 4p.
Subjects: Fourier transforms, Signal processing mathematics, Mathematical functions, Fourier analysis, Mathematical transformations
Abstract: The fractional Fourier transform can be considered as a rotated standard Fourier transform in general and its benefit in signal processing is growing to be known more. In this paper, we have computed the first order moment of fractional Fourier transform according to the ambiguity function exactly. In addition we have derived relations between time and spectral moments with those obtained in fractional domain. We will prove that the first moment in fractional Fourier transform can be considered as a rotated the time and frequency gravity in general. For more satisfaction, we choose three different types signals and obtain analytically their fractional Fourier transform as well. [ABSTRACT FROM AUTHOR]
Copyright of Proceedings of the World Congress on Engineering 2011 Volume I is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The fractional Fourier transform can be considered as a rotated standard Fourier transform in general and its benefit in signal processing is growing to be known more. In this paper, we have computed the first order moment of fractional Fourier transform according to the ambiguity function exactly. In addition we have derived relations between time and spectral moments with those obtained in fractional domain. We will prove that the first moment in fractional Fourier transform can be considered as a rotated the time and frequency gravity in general. For more satisfaction, we choose three different types signals and obtain analytically their fractional Fourier transform as well. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Proceedings of the World Congress on Engineering 2011 Volume I is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Fourier transforms
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      – SubjectFull: Signal processing mathematics
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      – SubjectFull: Mathematical functions
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      – SubjectFull: Mathematical transformations
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      – TitleFull: First Order Fractional Fourier Transform Moment Based on Ambiguity Function.
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              Text: 2011
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