A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.

Joseph Fourier, born just 250 years ago, introduced a wonderful idea that revolutionised science and mathematics: any function or signal can be broken down into simple periodic sine-waves. Radio waves ...

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 ...

The Fourier transform underpins so much of our technological lives, in most cases probably without our realising it. The ability to mathematically split a waveform into its frequency components and ...

The linear canonical transform (LCT) is a versatile integral transform that generalises classical transforms such as the Fourier, fractional Fourier, and Fresnel transforms. By utilising four ...

You can generate an FFT (fast-Fourier-transform) plot by periodically collecting a large number of conversion samples from the output of an ADC. Typically, ADC ...

This is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny little JPG files, and even powering your noise ...

Introduction to fundamental concepts and applications of electrical engineering. Topics include: circuit analysis from dc resistive networks to networks of impedances operating in the sinusoidal ...

Hamamatsu Photonics launches the most compact Fourier Transform - Near Infrared (FT-NIR) Spectrometer Engine currently on the market. It is capable of producing up to 275 spectra per second with a ...