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 ...

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

“In a GHZ state, if you measure one qubit, the whole superposition collapses. But in a W state, even if you measure one ...

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 ...

This is a preview. Log in through your library . Abstract A classification of methods for generating discrete Fourier transform pairs is given, followed by a table of 29 pairs. Many of these are new, ...

Sparse Fourier Transform (SFT) algorithms constitute a transformative approach to spectral analysis by leveraging the inherent sparsity of signals in the frequency domain. In contrast to the ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

In less than 100 seconds, Carola-Bibiane Schönlieb of the University of Cambridge in the UK provides a basic definition of a Fourier transform. She explains how this mathematical tool was introduced ...