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 ...

The script code/Example.ipynb serves as a minimal example for the application of discrete convolution statistic function. Considering the hypotheses presented above, the script ...

This chapter contains sections titled: Introduction, The Convolution Theorem for Z-Transforms, Convolution and General Linear Time-Invariant Systems, Algebraic Properties of the General Convolution ...

In this article, we highlight this limitation via a synthesized example. In order to account for the multimodality behavior and improve the fault detection performance accordingly, we propose a novel ...

The semi-discrete convolution with the box spline is an important tool in approximation theory. We give a formula for the difference between semi-discrete convolution and convolution with the box ...

Stability and convergence of the L1 formula on nonuniform time grids are studied for solving linear react ion-sub diffusion equations with the Caputo derivative. A discrete fractional Gronwall ...