2021
DOI: 10.3390/electronics10172145
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Discrete Pseudo-Fractional Fourier Transform and Its Fast Algorithm

Abstract: 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 … Show more

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