Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (2): 257-264.

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Uncertainty Principles of Fractional Fourier Transform

Zhou Yue(),Yang Yan*()   

  1. School of Mathematics (Zhuhai), Sun Yat-Sen University, Guangdong Zhuhai 519082
  • Received:2022-09-05 Revised:2023-02-14 Online:2024-04-26 Published:2024-04-07

Abstract:

Referring to the properties of Fourier transform, the authors find the uncertainty principle of discrete fractional Fourier transform and uncertainty principle of continuous fractional Fourier transform under Lebesgue measure, which makes the uncertainty principles of fractional Fourier transform more general.

Key words: Continuous fractional Fourier transform, Discrete fractional Fourier transform, Uncertainty principle

CLC Number: 

  • O177.92
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