A Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet Transforms
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The continuous quaternion wavelet transform (CQWT) is a generalization of the classical continuous wavelet transform within the context of quaternion algebra.
First of all, we show that the directional quaternion Fourier transform (QFT) uncertainty principle can be obtained using the component-wise QFT uncertainty principle.
Based on this method, the directional QFT uncertainty principle using representation of polar coordinate form is easily derived.
We derive a variation on uncertainty principle related to the QFT.
We state that the CQWT of a quaternion function can be written in terms of the QFT and obtain a variation on uncertainty principle related to the CQWT.
Finally, we apply the extended uncertainty principles and properties of the CQWT to establish logarithmic uncertainty principles related to generalized transform.
American Psychological Association (APA)
Bahri, Mawardi& Ashino, Ryuichi. 2017. A Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet Transforms. Abstract and Applied Analysis،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1120812
Modern Language Association (MLA)
Bahri, Mawardi& Ashino, Ryuichi. A Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet Transforms. Abstract and Applied Analysis No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1120812
American Medical Association (AMA)
Bahri, Mawardi& Ashino, Ryuichi. A Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet Transforms. Abstract and Applied Analysis. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1120812
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120812