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Lp-type Heisenberg-Pauli-Weyl uncertainty principles for fractional Fourier transform

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  • Chen, Xuan
  • Dang, Pei
  • Mai, Weixiong

Abstract

In this paper we prove some Lp-type Heisenberg-Pauli-Weyl uncertainty principles for complex signals with respect to fractional Fourier transform, 1≤p≤2. We also discuss the effect of shifting and scaling on the uncertainty principles. Moreover, some numerical simulations are given to demonstrate our results.

Suggested Citation

  • Chen, Xuan & Dang, Pei & Mai, Weixiong, 2025. "Lp-type Heisenberg-Pauli-Weyl uncertainty principles for fractional Fourier transform," Applied Mathematics and Computation, Elsevier, vol. 491(C).
    • Handle: RePEc:eee:apmaco:v:491:y:2025:i:c:s0096300324006970
    DOI: 10.1016/j.amc.2024.129236
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    References listed on IDEAS

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    1. Mawardi Bahri & Samsul Ariffin Abdul Karim, 2023. "Fractional Fourier Transform: Main Properties and Inequalities," Mathematics, MDPI, vol. 11(5), pages 1-17, March.
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