Rapid Quantitation from Inhomogeneously Broadened EPR Spectra by a Fast Convolution Algorithm

1995 ◽  
Vol 113 (1) ◽  
pp. 65-73 ◽  
Author(s):  
A.I. Smirnov ◽  
R.L. Belford
Keyword(s):  
Epr Spectra ◽  
Fast Convolution ◽  
Convolution Algorithm

scholarly journals An Efficient im2row-Based Fast Convolution Algorithm for ARM Cortex-M MCUs

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 124384-124395
Author(s):  
Peng Wang ◽  
Xiaoqin Wang ◽  
Rui Luo ◽  
Dingyi Wang ◽  
Mengjie Luo ◽  
...  
Keyword(s):  
Fast Convolution ◽  
Convolution Algorithm

A new multidimensional fast convolution algorithm

1996 ◽  
Vol 44 (11) ◽  
pp. 2853-2864 ◽  
Author(s):  
R. Bernardini ◽  
G. Cortelazzo ◽  
G.A. Mian
Keyword(s):  
Fast Convolution ◽  
Convolution Algorithm

Kramers–Kronig transforms calculation with a fast convolution algorithm

2002 ◽  
Vol 48 (4) ◽  
pp. 341-347 ◽  
Author(s):  
P Bruzzoni ◽  
R.M Carranza ◽  
J.R Collet Lacoste ◽  
E.A Crespo
Keyword(s):  
Fast Convolution ◽  
Convolution Algorithm

scholarly journals Revised fast convolution

2016 ◽  
Vol 57 ◽  
Author(s):  
Rimantas Pupeikis
Keyword(s):  
Linear Time ◽  
Output Frequency ◽  
Fast Convolution ◽  
Linear Time Invariant ◽  
Lti System ◽  
Convolution Algorithm ◽  
System Input ◽  
Input Sample ◽  
Time Invariant ◽  
Code Matrix

It is assumed that linear time-invariant (LTI) system input signal samples are updated by a sensor in real time. It is urgent for every new input sample or for small part of new samples to update a convolution as well. The idea is that fast Fourier transform (FFT) algorithm, used to calculate output frequency samples (f.s.), should not be recalculated with every new input sample. It is needed just to modify the convolution algorithm, when the new input sample replaces the old one. An example of computation of the convolution with ordinary and modified 8-point Fourier code matrix is presented.

scholarly journals Fast Convolution based on Winograd Minimum Filtering: Introduction and Development

2021 ◽  
Author(s):  
Gan Tong ◽  
Libo Huang
Keyword(s):  
Neural Network ◽  
Convolution Operators ◽  
Algorithm Optimization ◽  
Future Directions ◽  
Memory Space ◽  
Fast Convolution ◽  
Network Training ◽  
Convolution Algorithm ◽  
First Choice

Convolutional Neural Network (CNN) has been widely used in various fields and played an important role. Convolution operators are the fundamental component of convolutional neural networks, and it is also the most time-consuming part of network training and inference. In recent years, researchers have proposed several fast convolution algorithms including FFT and Winograd. Among them, Winograd convolution significantly reduces the multiplication operations in convolution, and it also takes up less memory space than FFT convolution. Therefore, Winograd convolution has quickly become the first choice for fast convolution implementation within a few years. At present, there is no systematic summary of the convolution algorithm. This article aims to fill this gap and provide detailed references for follow-up researchers. This article summarizes the development of Winograd convolution from the three aspects of algorithm expansion, algorithm optimization, implementation, and application, and finally makes a simple outlook on the possible future directions.

Properties of electrochemically generated primary cationradicals of phenyl- and 2-(4-tolyl)-1,3,4,7-tetramethylisoindoles

1980 ◽  
Vol 45 (6) ◽  
pp. 1669-1676 ◽  
Author(s):  
Pavel Kubáček
Keyword(s):  
Electrochemical Oxidation ◽  
Spin Polarization ◽  
High Spin ◽  
Epr Spectroscopy ◽  
Half Life ◽  
Electrochemical Behaviour ◽  
Epr Spectra ◽  
Electrochemical Generation ◽  
Splitting Constant ◽  
Reduced Temperature

The first step of electrochemical oxidation of 2-phenyl- and 2-(4-tolyl)-1,3,4,7-tetramethylisoindoles in anhydrous acetonitrile produces relatively stable cationradicals which have been studied by means of EPR spectroscopy using the method of internal electrochemical generation of radicals under reduced temperature. The same electrochemical behaviour of the both studied derivatives and identical EPR spectra of their cationradicals can be explained within the Huckel MO method. The largest contribution to the magnitude of splitting constant of nitrogen nucleus is due to π-σ-spin polarization of C-N bonds caused by high spin abundance of pz-AO of carbon atoms. Half-life of decomposition of the studied cationradicals is 4 min at -30°C.

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