Convolution and multichannel sampling for the offset linear canonical transform and their applications

D Wei, YM Li - IEEE Transactions on Signal Processing, 2019 - ieeexplore.ieee.org
The offset linear canonical transform (OLCT) plays an important role in many fields of optics
and signal processing. In this paper, we address the problem of signal filtering and …

New sampling formulae related to linear canonical transform

BZ Li, R Tao, Y Wang - Signal Processing, 2007 - Elsevier
Linear canonical transform (LCT) is an integral transform with four parameters a, b, c, d and
has been shown to be a powerful tool for optics, radar system analysis, filter design, phase …

A convolution and product theorem for the linear canonical transform

D Wei, Q Ran, Y Li, J Ma, L Tan - IEEE Signal Processing …, 2009 - ieeexplore.ieee.org
The linear canonical transform (LCT) plays an important role in many fields of optics and
signal processing. Many properties for this transform are already known, however, the …

Sampling and discretization of the linear canonical transform

JJ Healy, JT Sheridan - Signal Processing, 2009 - Elsevier
The numerical approximation of the linear canonical transform (LCT) is of importance in
modeling first order optical systems and many signal processing applications. We have …

Wigner‐ville distribution associated with the linear canonical transform

RF Bai, BZ Li, QY Cheng - Journal of Applied Mathematics, 2012 - Wiley Online Library
The linear canonical transform is shown to be one of the most powerful tools for
nonstationary signal processing. Based on the properties of the linear canonical transform …

Convolution and correlation theorems for the two‐dimensional linear canonical transform and its applications

Q Feng, BZ Li - IET Signal Processing, 2016 - Wiley Online Library
Convolution and correlation operations are very important in signal processing community,
as well as in sampling, filter design and applications. In this study, the authors derive the …

Windowed linear canonical transform and its applications

KI Kou, RH Xu - Signal Processing, 2012 - Elsevier
In this paper, we generalize the windowed Fourier transform to the windowed linear
canonical transform by substituting the Fourier transform kernel with the linear canonical …

A convolution and correlation theorem for the linear canonical transform and its application

D Wei, Q Ran, Y Li - Circuits, Systems, and Signal Processing, 2012 - Springer
As a generalization of the fractional Fourier transform (FRFT), the linear canonical transform
(LCT) plays an important role in many fields of optics and signal processing. Many …

[HTML][HTML] Linear canonical Stockwell transform

FA Shah, AY Tantary - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
The linear canonical transform (LCT) has long been recognized as a competent tool for
optics and signal processing. However, the LCT cannot reveal the local LCT-frequency …

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

FA Shah, AY Tantary - Multidimensional Systems and Signal Processing, 2022 - Springer
This paper presents a novel and elegant convolution structure for the multi-dimensional
linear canonical transform involving a pure multi-dimensional kernel obtained via a general …