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 ...

In a lecture example, we used the convolution integral approach to study the response of an undamped oscillator excited by the rectangular pulse shown below. Here we will apply the graphical ...

, L. Longhi, M. Perlstadt, Differential Operators Commuting with Finite Convolution Integral Operators: Some Non-Abelian Examples, SIAM Journal on Applied Mathematics ...

In this unit the characteristics and inter-relations of linear (continuous and discrete) signals and systems will be discussed. Principles of sampling theory, aliasing, correlation, convolution, and ...

Convolution is sufficiently important to DSP that it is worth developing the subject in detail. In the following examples, the notation will be somewhat simplified.