Comments on the complete generalized fractional Fourier transform |
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| Authors: | Liying Zheng Daming Shi |
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| Affiliation: | a School of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China
b School of Electrical Engineering and Computer Science, Kyungpook National University, Daegu, South Korea |
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| Abstract: | In this research, we thoroughly investigate the complete generalized fractional Fourier transform (CGFRFT) and draw the following conclusions that are different from the original literature: (1) The CGFRFT is not a generalized version, but a special case that ignores the marginal postulate; (2) If the period parameter is not a multiple of four, the CGFRFT can never perform a Fourier transform regardless of the value of the transform order. The simulation results of a rectangular signal support the above conclusions. |
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| Keywords: | Fractional Fourier transform Fourier transform Transform order Period parameter |
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