Nature

Revealing true coupling strengths in two-dimensional spectroscopy with sparsity-based signal recovery

Quantifying the coupling between energy levels is key to retrieving information about the structure of a molecule and its interaction with the environment. The coupling can be studied using ...
JSTOR Daily

Efficient denoising algorithms for large experimental datasets and their applications in Fourier transform ion cyclotron resonance mass spectrometry

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 ...
Design-Reuse

OptNgn Delivers 2D-FFT FPGA Library Elements for use in Imaging and DSP applications

Portland, Oregon -- October 1, 2010-- At processing rates of up to 306 complex mega pixels per second (Mpps), the new OptNgn 2DFFT FPGA library elements are the perfect choice for inexpensive, low ...
Hackaday

DSP Spreadsheet: The Goertzel Algorithm Is Fourier’s Simpler Cousin

You probably have at least a nodding familiarity with the Fourier transform, a mathematical process for transforming a time-domain signal into a frequency domain signal. In particular, for computers, ...
EDN

A Simple and Efficient FFT Implementation in C++, Part I

Vlodymyr teaches at Brandenburg University of Technology, Cottbus, Germany. He can be reached at [email protected]. This article provided courtesy ofDr. Dobb’s Journal. This article describes ...
JSTOR Daily

THE MULTIPLICATIVE COMPLEXITY AND ALGORITHM OF THE GENERALIZED DISCRETE FOURIER TRANSFORM(GFT)

In this paper, we have proved that the lower bound of the number of real multiplications for computing a length 2t real GFT(a,b) (a = ±1/2, b = 0 or b = ±1/2, a = 0) is 2t+1 – 2t - 2 and that for ...