Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous and powerful tools. A new result marks an exciting advance toward that goal.

Abstract: Orthogonal Time Frequency Space (OTFS) suffers from high peak-to-average power ratio (PAPR) when the number of Doppler bins is large. To address this issue, a discrete Fourier transform ...

The Bomem DA3 is a type of Fourier transform spectrometer used for measuring various spectral data and [Usagi Electric] has one. On his quest to understand it he runs down a number of rabbit holes, ...

A rotating cylinder with its side cut away to expose the core, showing patches of purple, blue, green, yellow, and orange that are dense in the middle and more diffuse toward the edges. This rotating ...

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 ...

The new projects aim to improve rail services and infrastructure through collaboration with Network Rail and train operators. Credit: Shutterstock The UK Department for Transport (DfT) has announced a ...

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, ...

The Uncertainty-Aware Fourier Ptychography (UA-FP) framework marks a transformative milestone in computational imaging, revolutionizing the way we address system uncertainties. This innovative ...

Density Functional Theory (DFT) is the workhorse method in chemistry and physics for predicting the formation and properties of molecules and materials. Among many other applications, it plays a ...

Despite being the most abundant element in the universe, making cheap, clean hydrogen here on Earth has been a surprisingly tough nut to crack. “Hydrogen has always been plagued with a couple problems ...

Over 200 years ago, the famous mathematician Joseph Fourier described a phenomenon related to how heat is transferred between materials. That phenomenon has now been documented for the first time in ...