G. A. KARAGULYAN, ON THE SWEEPING OUT PROPERTY FOR CONVOLUTION OPERATORS OF DISCRETE MEASURES, Proceedings of the American Mathematical Society, Vol. 139, No. 7 (JULY 2011), pp. 2543-2552 ...

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 ...

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 ...

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 ...

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.