scholarly journals Generalized sampling expansions associated with quaternion Fourier transform

2017 ◽  
Vol 41 (11) ◽  
pp. 4021-4032 ◽  
Author(s):  
Dong Cheng ◽  
Kit Ian Kou
Keyword(s):  
Fourier Transform ◽  
Quaternion Fourier Transform ◽  
Generalized Sampling ◽  
Sampling Expansions

Generalized Sampling Expansions in the Sense of Papoulis

1984 ◽  
Vol 44 (3) ◽  
pp. 611-617 ◽  
Author(s):  
R. F. Hoskins ◽  
J. de Sousa Pinto
Keyword(s):  
Generalized Sampling ◽  
Sampling Expansions

scholarly journals A Version of Uncertainty Principle for Quaternion Linear Canonical Transform

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Mawardi Bahri ◽  
Resnawati ◽  
Selvy Musdalifah
Keyword(s):  
Fourier Transform ◽  
Uncertainty Principle ◽  
Young Inequality ◽  
Linear Canonical Transform ◽  
Two Dimensional ◽  
Research Papers ◽  
Quaternion Fourier Transform ◽  
Quaternion Linear Canonical Transform ◽  
The Relationship

In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we derive a version of the uncertainty principle associated with the QLCT. We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain.

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