New convolution and product theorem for the linear canonical transform ...
Jun 1, 2016 · The convolution theorem for the linear canonical transform (LCT) is of importance in signal processing theory and application. Recently, some attempts…
Convolution, correlation and spectrum of functions associated with ...
Jan 1, 2022 · The linear canonical transform (LCT), a generalization of the Fourier transform (FT), has a wide range of application domains including signal processing and optics. In this article, LCT based …
A New Form of Convolution Theorem for One-Dimensional Quaternion Linear …
Jun 26, 2025 · The convolution theorem is found to be equal to a simple multiplication of the 1-D QLCT and the quaternion Fourier transform. In addition, based on the convolution definition, we propose a …
Weighted Convolution for Quaternion Linear Canonical Cosine Transform …
Jun 14, 2024 · Convolution plays a pivotal role in the domains of signal processing and optics. This paper primarily focuses on studying the weighted convolution for quaternion linear canonical cosine …
Convolution -- from Wolfram MathWorld
Mar 25, 2026 · A convolution is an integral that expresses the amount of overlap of one function g as it is shifted over another function f. It therefore "blends" one function with another. For example, in …
Convolution theorems associated with quaternion linear canonical ...
Jan 1, 2023 · The convolution theorem of the linear canonical transform has been investigated [2], [4], [4], [5], [6], [7], [8]. These convolution structures have elegance and simplicity, which states that a …
Linear Convolution using C and MATLAB - GeeksforGeeks
Aug 6, 2025 · A key concept often introduced to those pursuing electronics engineering is Linear Convolution. This is a crucial component of Digital Signal Processing and Signals and Systems. …
New convolution structure for the linear canonical transform and its ...
Jul 1, 2016 · The convolution and product theorem for the Fourier transform (FT) plays an important role in signal processing theory and application. The linear canonical transform (LCT), which is a …
Linear canonical space-time transform and convolution theorems
First, the definition of the proposed linear canonical space-time transform is given, and some related properties of this transform are obtained. Second, the convolution operator and the corresponding …
Laplace Transform for Convolution Type Linear Volterra Integral ...
Dec 11, 2019 · In application section, some applications are given to explain the usefulness of Laplace transform for finding the solution of convolution type linear Volterra integral equation of second kind.