The sparse Fourier transform has emerged as a pivotal advancement in spectral analysis, enabling the rapid recovery of signals that exhibit only a few non‐zero frequency components. Traditional fast ...

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 ...

Built upon the ubiquitous Fourier transform, the mathematical tools known as wavelets allow unprecedented analysis and understanding of continuous signals. In an increasingly data-driven world, ...

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 ...

You probably have at least a nodding familiarity with the Fourier transform, a mathematical process for transforming a time-domain signal into a frequency domain signal. In particular, for computers, ...

As we listen to a piece of music, our ears perform a calculation. The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure ...