Generalized wavelet transform based on the convolution operator in the linear canonical transform domain

Optik ◽  
2014 ◽  
Vol 125 (16) ◽  
pp. 4491-4496 ◽  
Author(s):  
Deyun Wei ◽  
Yuan-Min Li
Keyword(s):  
Wavelet Transform ◽  
Convolution Operator ◽  
Transform Domain ◽  
Linear Canonical Transform

Continuous wavelet transform involving canonical convolution

2019 ◽  
Vol 13 (06) ◽  
pp. 2050104
Author(s):  
Zamir Ahmad Ansari
Keyword(s):  
Wavelet Transform ◽  
Function Space ◽  
Continuous Wavelet Transform ◽  
Convolution Operator ◽  
Linear Canonical Transform ◽  
Continuous Wavelet ◽  
Test Function ◽  
Test Function Space

The main objective of this paper is to study the continuous wavelet transform in terms of canonical convolution and its adjoint. A relation between the canonical convolution operator and inverse linear canonical transform is established. The continuity of continuous wavelet transform on test function space is discussed.

Low bit-rate cloud-based image coding in the wavelet transform domain

2018 ◽  
Vol 12 (8) ◽  
pp. 1437-1445 ◽  
Author(s):  
Chuxi Yang ◽  
Yan Zhao ◽  
Shigang Wang
Keyword(s):  
Wavelet Transform ◽  
Image Coding ◽  
Transform Domain ◽  
Bit Rate ◽  
Low Bit Rate

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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