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: Many real-world networks are characterized by directionality; however, the absence of an appropriate Fourier basis hinders the effective implementation of graph signal processing techniques.

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 ...

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 ...

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, ...

Abstract: In order to overcome the limitations of phased array radar technology, the researchers proposed frequency diverse array (FDA) technology to achieve accurate detection and tracking of target ...

The inverse transform can create a time-domain waveform where no waveform has been before. In part 2 of this series, we used the discrete Fourier transform to convert a waveform from the time domain ...

Researchers have developed a new method to better understand and mitigate quantum noise, which disrupts the operation of qubits. This innovation could enhance the reliability of quantum computing and ...

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1 Department of Physics and Electronic Information Engineering, Optical Engineering, Zhejiang Normal University, Jinhua, China. 2 Department of Computer Science and Technology, Software Engineering, ...