Hackaday

Why Diffraction Gratings Create Fourier Transforms

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording ...
Hackaday

What Is The Fourier Transform?

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 ...
Quanta Magazine

Networks Hold the Key to a Decades-Old Problem About Waves

Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous ...
EDN

The practicing instrumentation engineer’s guide to the DFT – Part 1: Understand DFT and FFT implementations

There are many books and articles on the Fourier Transform and its implementation available. A quick survey of these resources shows that they are not geared to the needs of the “Practicing ...
JSTOR Daily

Computational Complexity of Fourier Transforms Over Finite Fields

In this paper we describe a method for computing the Discrete Fourier Transform (DFT) of a sequence of $n$ elements over a finite field $\mathrm{GF}(p^m)$ with a ...
EDN

Spectral analysis and modulation, part 1: The DFT and FFT

This series is excerpted from “Digital Signal Processingand Applications, 2nd Edition.” Order this book today at www.newnespress.comor by calling 1-800-545-2522 and receive a 20% discount! Use ...
AZOM

Fourier Transform Infrared Spectroscopy - An Introduction

insights from industryDr. Andrew DaviesApplications SpecialistSpecac Ltd. In this interview, AZoM talks to Dr. Andrew Davies, an applications specialist at Specac Ltd., about Specac and their FTIR ...
Nature

Fourier transform on the move

It is now possible to calculate the Fourier transform of an image on your smartphone, thanks to a new app developed by two nanophotonics researchers in The Netherlands. “2D-Fourier” is available for ...