Uncertainty principle for the two-sided quaternion windowed Fourier transform. Issue 5 (4th May 2019)

• Record Type: Journal Article
• Authors: Kamel, Brahim; Tefjeni, Emna
• Is Part Of: Integral transforms and special functions. Volume 30:Issue 5(2019)
• Page Start: 362
• Page End: 382
• Publication Date: 2019-05-04
• Subjects: Quaternion Fourier transform -- quaternion windowed Fourier transform -- the radar quaternion ambiguity function -- quaternion Wigner transform -- uncertainty principle; 11R52 -- 42A38 -- 42B10; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2019.1572138
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: In this paper, we study the quaternion windowed Fourier transform (QWFT) and prove the Local uncertainty principle, the Logarithmic uncertainty principle and Amrein Berthier for the QWFT, the radar quaternion ambiguity function and the quaternion Wigner transform.