Uncertainty Principles for The Quaternion Linear Canonical Transform

Uncertainty Principles for The Quaternion Linear Canonical Transform

The (right-sided) Quaternion Linear Canonical transform (QLCT) satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. The aim of this paper is to prove a quantitative uncertainty inequality about the essential supports of a nonzero function. We also extend signal...

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Veröffentlicht in:Advances in applied Clifford algebras 2019-11, Vol.29 (5), p.1-19, Article 99
Hauptverfasser: Achak, A., Abouelaz, A., Daher, R., Safouane, N.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Fourier transforms
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quaternions
Signal reconstruction
Theoretical
Uncertainty principles
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Zusammenfassung:The (right-sided) Quaternion Linear Canonical transform (QLCT) satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. The aim of this paper is to prove a quantitative uncertainty inequality about the essential supports of a nonzero function. We also extend signal recovery by using local uncertainty principle to the Quaternion Linear Canonical transform.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-019-1020-x