Abstract: In this paper, we present a novel convolution theorem which encompasses the well known convolution theorem in (graph) signal processing as well as the one related to time-varying filters.

A simple C++ example of performing a one-dimensional discrete convolution of real vectors using the Fast Fourier Transform (FFT) as implemented in the FFTW 3 library. This code is a simple and direct ...

This is my coursework project for 2023 autumn semester at BSUIR. The project is to study the differences in speed of large convolutions with and without Fourier transform (based on the convolution ...

We deal with the Fourier-like analysis of functions on discrete grids in two-dimensional simplexes using Cand E-Weyl group orbit functions. For these cases, we present the convolution theorem. We ...

Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...