Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
