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Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II [PDF]
We present a general diagrammatic approach to the construction of efficient algorithms for computing the Fourier transform of a function on a finite group.
Maslen, David +2 more
core +3 more sources
Fast Fourier Optimization: Sparsity Matters
Many interesting and fundamentally practical optimization problems, ranging from optics, to signal processing, to radar and acoustics, involve constraints on the Fourier transform of a function. It is well-known that the {\em fast Fourier transform} (fft)
C. Papadimitriou +19 more
core +4 more sources
3D Non-Uniform Fast Fourier Transform Program Optimization
MRI (magnetic resonance imaging) technology aims to map the internal structure image of organisms. It is an important application scenario of Non-Uniform Fast Fourier Transform (NUFFT), which can help doctors quickly locate the lesion site of patients ...
Kai Nie +4 more
doaj +1 more source
A Multi-Resolution Texture Image Retrieval Using Fast Fourier Transform
Texture is an important visual property that characterizes a wide range of natural and artificial images which makes it a useful feature for retrieving images. Several approaches have been proposed to describe the texture contents of an image.
A. Abdesselam
doaj +1 more source
Coherent optical implementations of the fast Fourier transform and their comparison to the optical implementation of the quantum Fourier transform [PDF]
Optical structures to implement the discrete Fourier transform (DFT) and fast Fourier transform (FFT) algorithms for discretely sampled data sets are considered. In particular, the decomposition of the FFT algorithm into the basic Butterfly operations is
Birch, Philip M +2 more
core +2 more sources
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
The previously proposed cascaded inverse fast Fourier transform/fast Fourier transform (IFFT/FFT)-based point-to-multipoint (P2MP) flexible optical transceivers have the potential to equip future intensity modulation and direct detection (IMDD) optical ...
Lin Chen +7 more
doaj +1 more source
Frequency analyses of human voice using fast Fourier transform
Quantitative analysis of human voice has been subject of interest and the subject gained momentum when human voice was identified as a modality for human authentication and identification. The main organ responsible for production of sound is larynx and
Jinan F. Mahdi
doaj +1 more source
Fourier ptychography algorithm based on scaled Fourier transform
This letter discusses an alternative Fourier ptychography algorithm based on the scaled fast Fourier transform propagation. The advantage of this scheme is that it enables a zoom‐in capability of the object spectrum and complex pupil within the synthetic
Mojde Hasanzade +3 more
doaj +1 more source

