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 ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

Sankhyā: The Indian Journal of Statistics, Series A (2008-), Vol. 71, No. 2 (August 2009), pp. 221-259 (39 pages) Asymptotic distribution of the Discrete Fourier Transformation (DFT) of spatial data ...

We extend to $L^p, 1 \leqq p \leqq \infty$, the $L^2$ results of Bramble and Hilbert on convergence of discrete Fourier transforms and on approximation using smooth ...

This paper presents an efficient methodology for discrete Asian options that is consistent with different types of underlying densities – especially non-normal returns as suggested in the empirical ...