Multi-dimensional linear canonical transform with applications to sampling and multiplicative filtering

2022 ◽  
Author(s):  
Firdous A. Shah ◽  
Azhar Y. Tantary
Keyword(s):  
Linear Canonical Transform ◽  
Multiplicative Filtering

Multiplicative filtering in the linear canonical transform domain

2016 ◽  
Vol 10 (2) ◽  
pp. 173-181 ◽  
Author(s):  
Navdeep Goel ◽  
Kulbir Singh ◽  
Rajiv Saxena ◽  
Ashutosh Kumar Singh
Keyword(s):  
Transform Domain ◽  
Linear Canonical Transform ◽  
Multiplicative Filtering

Wavelet packets associated with linear canonical transform on spectrum

2021 ◽  
pp. 2150030
Author(s):  
M. Younus Bhat ◽  
Aamir H. Dar
Keyword(s):  
Fourier Transform ◽  
Multiresolution Analysis ◽  
Fourier Transforms ◽  
Fractional Fourier Transform ◽  
Integral Transforms ◽  
Wavelet Packets ◽  
Linear Canonical Transform ◽  
Fresnel Transform ◽  
The Fourier Transform ◽  
Vector Valued

The linear canonical transform (LCT) provides a unified treatment of the generalized Fourier transforms in the sense that it is an embodiment of several well-known integral transforms including the Fourier transform, fractional Fourier transform, Fresnel transform. Using this fascinating property of LCT, we, in this paper, constructed associated wavelet packets. First, we construct wavelet packets corresponding to nonuniform Multiresolution analysis (MRA) associated with LCT and then those corresponding to vector-valued nonuniform MRA associated with LCT. We investigate their various properties by means of LCT.

The extrapolation of bandlimited signals in the offset linear canonical transform domain

Optik ◽  
2019 ◽  
Vol 180 ◽  
pp. 626-634 ◽  
Author(s):  
Shuiqing Xu ◽  
Songbing Tao ◽  
Yi Chai ◽  
Xi Yang ◽  
Yigang He
Keyword(s):  
Transform Domain ◽  
Linear Canonical Transform ◽  
Bandlimited Signals ◽  
Offset Linear Canonical Transform
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