Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

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. Instead of using f [n ], we will ...

5. Discrete-Time Fourier Transform (4 lectures): Properties; convolution and multiplication properties. 6. Laplace Transform (3 lectures): Region of convergence; inverse Laplace transform; properties; ...

Philip Brain, Jon Marshall, Modeling Cultivation Effects Using Fast Fourier Transforms, Journal of Agricultural, Biological, and Environmental Statistics, Vol. 4, No ...

Li et al.use optical three-dimensional Fourier-transform spectroscopy to separate and study each pathway, gaining quantitative insight into the quantum pathways of an atomic vapour Hamiltonian.

Tests of the convolution method with computer-simulated shadowgraphs show that it is also more accurate than the Fourier transform method. It has good potentialities for application in electron ...