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

Author(s):  
Firdous A. Shah ◽  
Azhar Y. Tantary
2016 ◽  
Vol 10 (2) ◽  
pp. 173-181 ◽  
Author(s):  
Navdeep Goel ◽  
Kulbir Singh ◽  
Rajiv Saxena ◽  
Ashutosh Kumar Singh

Author(s):  
M. Younus Bhat ◽  
Aamir H. Dar

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.


Optik ◽  
2019 ◽  
Vol 180 ◽  
pp. 626-634 ◽  
Author(s):  
Shuiqing Xu ◽  
Songbing Tao ◽  
Yi Chai ◽  
Xi Yang ◽  
Yigang He

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