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 is a preview. Log in through your library . Abstract Apart from the fact that they are both ingenious and remarkably efficient, there would appear to be little kinship between fast Fourier ...

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 ...

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 ...

for the Radon transform in in section 2.1, and of the corresponding formula for the nD ray transform To begin with we describe the simplest possible implementation. We warn the reader that this ...

In this video from PyData Seattle 2015, William Cox from Distil Networks presents: An Intuitive Introduction to the Fourier Transform and FFT. The “fast fourier transform” (FFT) algorithm is a ...

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

Modern scientific research produces datasets of increasing size and complexity that require dedicated numerical methods to be processed. In many cases, the analysis of spectroscopic data involves the ...