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Uncertainty Principle of the 2-D Affine Generalized Fractional Fourier Transform
Title: | Uncertainty Principle of the 2-D Affine Generalized Fractional Fourier Transform |
Authors: | Pei, Soo-Chang Browse this author | Ding, Jian-Jiun Browse this author |
Issue Date: | 4-Oct-2009 |
Publisher: | Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference, International Organizing Committee |
Journal Title: | Proceedings : APSIPA ASC 2009 : Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference |
Start Page: | 414 |
End Page: | 417 |
Abstract: | The uncertainty principles of the 1-D fractional Fourier transform and the 1-D linear canonical transform have been derived. We extend the previous works and discuss the uncertainty principle for the two-dimensional affine generalized Fourier transform (2-D AGFFT). We find that derived uncertainty principle of the 2-D AGFFT can also be used for determining the uncertainty principles of many 2-D operations, such as the 2-D fractional Fourier transform, the 2-D linear canonical transform, and the 2-D Fresnel transform. These uncertainty principles are useful for time-frequency analysis and signal analysis. Moreover, we find that the rotation and the chirp multiplication of the 2-D Gaussian function can satisfy the lower bound of the uncertainty principle of the 2-D AGFFT. |
Description: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference. 4-7 October 2009. Sapporo, Japan. Poster session: Signal Processing Theory and Methods I (6 October 2009). |
Conference Name: | APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference | 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 |
Conference Place: | Sapporo |
Type: | proceedings |
URI: | http://hdl.handle.net/2115/39730 |
Appears in Collections: | 北海道大学サステナビリティ・ウィーク2009 (Sustainability Weeks 2009) > 2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 (2009 APSIPA Annual Summit and Conference)
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