Microsoft Office Excel contains a data analysis add-in that allows to to perform a Fourier analysis of a series of numbers. So named for the French mathematician who developed the analytic technique ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 6 (2017), pp. 2540-2564 (25 pages) This article considers the use of total variation minimization for the recovery of a superposition of point sources ...

The representation of a periodic sound or waveform as a sum of Fourier components (i.e. pure sinusoidal waves). According to the Fourier theorem, periodic sound may be shown to consist of sine waves ...

The Allen Telescope Array, Hat Creek Radio Observatory. Credit: Alexander Pollak. Radio interferometry is a technique in radio astronomy where signals from two or more radio telescopes are combined to ...

When evaluating the dynamic performance of precision analog-to-digital converters (ADCs) using fast Fourier transform (FFT) analysis, coherent sampling typically is used to accurately measure the ...

In the last decade, scientists, mathematicians, and engineers have recognized that our ability to generate data far exceeds our ability to record it, to analyze it, and to extract meaningful ...