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Mathematics > General Mathematics

arXiv:1909.13691 (math)
[Submitted on 26 Sep 2019]

Title:A novel description and mathematical analysis of the Fractional Discrete Fourier Transform

Authors:Evan Zayas
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Abstract:I discuss the nature of a Fractional Discrete Fourier Transform (FrDFT) described algorithmically by a combination of chirp transforms and ordinary DFTs. The transform is shown to be consistent with a continuous two-dimensional rotation between the time and frequency domains. I further present a new closed-form expression for the transformation matrix and some preliminary analysis of its properties.
Comments: 10 pages
Subjects: General Mathematics (math.GM)
Cite as: arXiv:1909.13691 [math.GM]
  (or arXiv:1909.13691v1 [math.GM] for this version)
  https://doi.org/10.48550/arXiv.1909.13691

Submission history

From: Evan Zayas [view email]
[v1] Thu, 26 Sep 2019 20:25:14 UTC (6 KB)
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