The fractional Fourier transform and time-frequency representations
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846 citations
Cites methods from "The fractional Fourier transform an..."
...Accordingly, the fractional Fourier transform (FrFT) [85], which is built upon orthogonal chirp basis, is used to process the target return....
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646 citations
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Cites background or methods from "The fractional Fourier transform an..."
...Another important property not discussed here is the relationship of the fractional Fourier transform to time–frequency representations such as the Wigner distribution [8], [10], [11], [12]....
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...The transform has become popular in the optics and signal processing communities following the works of Ozaktas and Mendlovic [6]–[8], Lohmann [9] and Almeida [12]....
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...Some of the applications explored include optimal filtering in fractional Fourier domains [13]–[16], cost-efficient linear system synthesis and filtering [17]–[21], time-frequency analysis [11], [12], [22], [23], and Fourier optics and optical information processing [24]–[26]....
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...[29] L. B. Almeida, “Product and convolution theorems for the fractional Fourier transform,”IEEE Signal Processing Lett., vol. 4, pp. 15–17, Jan. 1997....
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481 citations
Cites background from "The fractional Fourier transform an..."
...However, interest in the transform really grew with its reinvention/reintroduction by researchers in the fields of optics and signal processing, who noticed its relevance for a variety of application areas [6, 7, 8, 9]....
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