We define the notion of the Fourier transform for the rook monoid (also called the symmetric inverse semigroup) and provide two efficient divideand-conquer algorithms (fast Fourier transforms, or FFTs ...

AMES, Iowa – Something called the fast Fourier transform is running on your cell phone right now. The FFT, as it is known, is a signal-processing algorithm that you use more than you realize. It is, ...

The FFT Core Library contains more than sixty Fast Fourier Transform (FFT) cores for use in Xilinx FPGAs. Cores are available with transform lengths up to 32K points for some device types, and each ...

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, ...

Engineers have solved a 50-year-old puzzle in signal processing. They've formulated the 'inverse chirp z-transform,' an algorithm related to one that's running on your cell phone right now. It took ...

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 ...