Geodesic
Donoho-Stark's and Hardy's uncertainty principles for the short-time quaternion offset linear canonical transform
Filomat, Tome 37 (2023) no. 14, p. 4467

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DOI

The quaternion offset linear canonical transform (QOLCT) which is time-shifted and frequency-modulated version of the quaternion linear canonical transform (QLCT) provides a more general framework of most existing signal processing tools. For the generalized QOLCT, the classical Heisenberg's and Lieb's uncertainty principles have been studied recently. In this paper, we first define the short-time quaternion offset linear canonical transform (ST-QOLCT) and derive its relationship with the quaternion Fourier transform (QFT). The crux of the paper lies in the generalization of several well known uncertainty principles for the ST-QOLCT, including Donoho-Stark's uncertainty principle, Hardy's uncertainty principle, Beurling's uncertainty principle, and Logarithmic uncertainty principle.
DOI : 10.2298/FIL2314467D
Classification : 42B10, 43A32, 94A12, 42A38, 30G30
Keywords: Quaternion Fourier transform, Quaternion offset linear canonical transform, Short-time quaternion offset linear canonical transform(ST-QOLCT), Uncertainty principle 
Aamir H Dar; M Younus Bhat. Donoho-Stark's and Hardy's uncertainty principles for the short-time quaternion offset linear canonical transform. Filomat, Tome 37 (2023) no. 14, p. 4467 . doi: 10.2298/FIL2314467D
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     title = {Donoho-Stark's and {Hardy's} uncertainty principles for the short-time quaternion offset linear canonical transform},
     journal = {Filomat},
     pages = {4467 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314467D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314467D/}
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