Sparse Fourier Transform (SFT) algorithms constitute a transformative approach to spectral analysis by leveraging the inherent sparsity of signals in the frequency domain. In contrast to the ...

This series is excerpted from “Digital Signal Processingand Applications, 2nd Edition.” Order this book today at www.newnespress.comor by calling 1-800-545-2522 and receive a 20% discount! Use ...

We develop efficient fast Fourier transform algorithms for pricing and hedging discretely sampled variance products and volatility derivatives under additive processes (time-inhomogeneous Lévy ...

信号与系统又大又小，今天这个东西是实践的前提，DFT到FFT，DFT在理论上面是成功的，但是实践中这个计算太吃算力了。 DFT 是把一段有限长的离散时域信号转换为离散频域表示的数学工具。数学表达式是： 这里就看得很清楚：DFT 就是信号与一组离散余弦波和 ...

A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.

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 ...

A group of MIT researchers believe they’ve found a way to speed up audio, video, and image compression by improving on the Fourier Transform. They say the new algorithm is up to ten times faster than ...

The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing. The algorithm allowed computers to quickly perform Fourier transforms — ...

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 ...