The new fast Fourier transform algorithm accelerates calculations on sparse signals only. Click on image for a larger view. Gilbert Strang, author of the classic textbook Linear Algebra and Its ...

The Fourier transform is an important mathematical tool that decomposes a function or dataset into a its constituent frequencies, much like one could decompose a musical chord into a combination of ...

An interesting aspect of time-varying waveforms is that by using a trick called a Fourier Transform (FT), they can be represented as the sum of their underlying frequencies. This mathematical insight ...

(via Veritasium) The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race.

In January, four MIT researchers showed off a replacement for one of the most important algorithms in computer science. Dina Katabi, Haitham Hassanieh, Piotr Indyk, and Eric Price have created a ...

A research group at MIT has come up with an improved algorithm that could make it possible to do more with audio and image data with less powerful hardware. The Fourier transform is fundamental to ...