Discover how Fourier Analysis breaks down complex time series data into simpler components to identify trends and patterns, despite its limitations in stock forecasting.

If you do any electronics work–especially digital signal processing–you probably know that any signal can be decomposed into a bunch of sine waves. Conversely, you can generate any signal by adding up ...

The Fourier transform (FT), a cornerstone of optical processing, enables rapid evaluation of fundamental mathematical operations, such as derivatives and integrals. Conventionally, a converging lens ...

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 ...

Yves Meyer wins the Abel Prize for development of a theory with applications ranging from watching movies to detecting gravitational waves French mathematician Yves Meyer has won the 2017 Abel Prize ...

In computing, we have pretty much come to accept the idea that smaller is better. The smaller the features on a chip, the more transistors we can place, the more computation can be done. I’m pretty ...

“Monster” waves in the open ocean were often dismissed as fishermen’s yarns until a 25-m tall wave hit a North Sea oil platform 12 years ago. Now, physicists in Spain and Germany have developed ...

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 ...