Fast Fourier-transform spectroscopy In theory, what is the maximum measurement speed of a Fourier-transform spectrometer? How about in practice? We have studied this in the context of photoacoustic ...

This is a preview. Log in through your library . Abstract We study the accuracy of the output of the Fast Fourier Transform by estimating the expected value and the variance of the accompanying linear ...

Researchers have developed a new algorithm that, in a large range of practically important cases, improves on the fast Fourier transform. Under some circumstances, the improvement can be dramatic -- a ...

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 ...

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 ...

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 ...

For a large range of practically useful cases, MIT researchers find a way to increase the speed of one of the most important algorithms in the information sciences. The Fourier transform is one of the ...

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 ...