The Fractional Fourier Transform: with Applications in Optics and Signal Processing
Citations
481 citations
Cites background from "The Fractional Fourier Transform: w..."
...Those interested in learning more are referred to a recent book on the subject [1] or the chapter-length treatment [2]....
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...Such two-dimensional functions 3 5 with variables and 5 are known as rectangular time-order or space-order representations of the function 3 5 , depending on whether the variable 5 is interpreted as time or space (or something else) [1]....
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...A more comprehensive treatment and an extensive list of references may once again be found in [1] and [2]....
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...The fractional Fourier transform has spurred interest in many other fractional transforms; see [1] for further references....
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...It is also possible to write convolution and multiplication properties for the fractional Fourier transform, though these are not of great simplicity [1]....
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335 citations
Cites background or methods from "The Fractional Fourier Transform: w..."
...It should be mentioned that the LCT is also called the affine Fourier transform, the generalized Fresnel transform, the Collins formula, the ABCD transform, or the almost Fourier and almost Fresnel transformation [1,45]....
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...The LCT is defined by [1,45,46]...
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...Further examples can be found in [1,7,126]....
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...The above equation can be considered as the spectral decomposition of the kernel function of FRFT [1]....
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...Introductory and review contributions [1,4–15]...
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318 citations
314 citations