Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

Design linear discrete-time systems and filters and analyze their behavior. Represent continuous-time signals and linear systems in discrete time, so that such signals can be recovered in continuous ...

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 ...

Repeated convolution and truncation of a truncated fat-tailed distribution, instead of Monte Carlo simulation, for pricing a ...