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 ...

COFDM, the modulation method used by most terrestrial DTV standards, depends on implementation of the Fast Fourier Transform (FFT) for demodulating the thousands of carriers used in OFDM system. An ...

The Fast Fourier Transform (FFT) is an implementation of the Discrete Fourier Transform (DFT) using a divide-and-conquer approach. A DFT can transform any discrete signal, such as an image, to and ...

As shown in the last subsection, kernel density estimates can be expressed as a submatrix of a certain convolution. The fast Fourier transform (FFT) is a computationally effective method for computing ...

This paper presents an efficient methodology for discrete Asian options that is consistent with different types of underlying densities – especially non-normal returns as suggested in the empirical ...

At the Association for Computing Machinery's Symposium on Discrete Algorithms (SODA), a group of MIT researchers will present a new algorithm that, in a large range of practically important cases, ...

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 ...

The Fourier transform is one of the most fundamental concepts in the information sciences. It's a method for representing an irregular signal — such as the voltage fluctuations in the wire that ...

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 ...