Discrete Pseudo-Fractional Fourier Transform and Its Fast Algorithm
Keyword(s):
In this article, we introduce a new discrete fractional transform for data sequences whose size is a composite number. The main kernels of the introduced transform are small-size discrete fractional Fourier transforms. Since the introduced transformation is not, in the generally known sense, a classical discrete fractional transform, we call it discrete pseudo-fractional Fourier transform. We also provide a generalization of this new transform, which depends on many fractional parameters. A fast algorithm for computing the introduced transform is developed and described.
1991 ◽
Vol 33
(2)
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pp. 180-191
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2020 ◽
Vol 7
(1)
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pp. 36-41
2017 ◽
Vol 28
(01)
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pp. 1750001
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