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Circuits, Systems, and Signal Processing

, Volume 38, Issue 1, pp 395–406 | Cite as

Uncertainty Principles for the Offset Linear Canonical Transform

  • Haiye HuoEmail author
Article
  • 62 Downloads

Abstract

The offset linear canonical transform (OLCT) provides a more general framework for a number of well-known linear integral transforms in signal processing and optics, such as Fourier transform, fractional Fourier transform, linear canonical transform. In this paper, to characterize simultaneous localization of a signal and its OLCT, we extend some different uncertainty principles (UPs), including Nazarov’s UP, Hardy’s UP, Beurling’s UP, logarithmic UP and entropic UP, which have already been well studied in the Fourier transform domain over the last few decades, to the OLCT domain in a broader sense.

Keywords

Offset linear canonical transform Uncertainty principle Logarithmic uncertainty estimate Entropic inequality Localization 

Notes

Acknowledgements

The author thanks the referees very much for carefully reading the paper and for elaborate and valuable suggestions.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, School of ScienceNanchang UniversityNanchangChina

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