scholarly journals Eliminating Non-linear Raman Shift Displacement Between Spectrometers via Moving Window Fast Fourier Transform Cross-Correlation

2018 ◽  
Vol 6 ◽  
Author(s):  
Hui Chen ◽  
Yan Liu ◽  
Feng Lu ◽  
Yongbing Cao ◽  
Zhi-Min Zhang
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Cross Correlation ◽  
Raman Shift ◽  
Moving Window ◽  
Non Linear

Robust alignment of chromatograms by statistically analyzing the shifts matrix generated by moving window fast Fourier transform cross-correlation

2015 ◽  
Vol 38 (6) ◽  
pp. 965-974 ◽  
Author(s):  
Mingjing Zhang ◽  
Ming Wen ◽  
Zhi-Min Zhang ◽  
Hongmei Lu ◽  
Yizeng Liang ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Cross Correlation ◽  
Moving Window

Investigation of the stability of periodic motions in a nonlinear automatic control system based on the fast fourier transform

2003 ◽  
Vol 3 ◽  
pp. 297-307
Author(s):  
V.V. Denisov
Keyword(s):  
Fourier Transform ◽  
Control System ◽  
Automatic Control ◽  
Fast Fourier Transform ◽  
Automatic Control System ◽  
Resonance Phenomenon ◽  
Periodic Motions ◽  
Multiply Connected ◽  
Non Linear ◽  
The Stability

An approach to the study of the stability of non-linear multiply connected systems of automatic control by means of a fast Fourier transform and the resonance phenomenon is considered.

Further results on Kendall's autoregressive series

1975 ◽  
Vol 12 (1) ◽  
pp. 180-182
Author(s):  
Jay C. Hardin ◽  
Thomas J. Brown
Keyword(s):  
Fourier Transform ◽  
Difference Equation ◽  
Fast Fourier Transform ◽  
Cross Correlation ◽  
Input And Output ◽  
The Cross ◽  
The Difference ◽  
Autoregressive Series

Theoretical expressions for the cross correlation and cross spectra of the input and output variables in the difference equation Xt=aXt−1 + bXt−2+ Yt are derived. These expressions are compared with estimates of these expectations obtained by employing a Fast Fourier Transform technique on digitally generated series.

Application of fast Fourier transform cross-correlation and mass spectrometry data for accurate alignment of chromatograms

2013 ◽  
Vol 1286 ◽  
pp. 175-182 ◽  
Author(s):  
Yi-Bao Zheng ◽  
Zhi-Min Zhang ◽  
Yi-Zeng Liang ◽  
De-Jian Zhan ◽  
Jian-Hua Huang ◽  
...  
Keyword(s):  
Mass Spectrometry ◽  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Cross Correlation ◽  
Mass Spectrometry Data

Data Position Detection Using Fast Fourier Transform Cross-Correlation Method for Holographic Memory

2008 ◽  
Vol 47 (1) ◽  
pp. 183-188 ◽  
Author(s):  
Ryosuke Suzuki ◽  
Fuminori Naitou ◽  
Shuhei Yoshida ◽  
Takeharu Mori ◽  
Manabu Yamamoto
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Cross Correlation ◽  
Correlation Method ◽  
Holographic Memory ◽  
Position Detection

scholarly journals Optimization of automated online fabric inspection by fast Fourier transform (FFT) and cross-correlation

2012 ◽  
Vol 83 (3) ◽  
pp. 256-268 ◽  
Author(s):  
Abdel Salam Malek ◽  
Jean-Yves Drean ◽  
Laurent Bigue ◽  
Jean-François Osselin
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Cross Correlation

Distance estimation in a system with a mobile camera

Robotica ◽  
1987 ◽  
Vol 5 (3) ◽  
pp. 197-200 ◽  
Author(s):  
Yu Lide ◽  
N. F. Stewart
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Theoretical Basis ◽  
Cross Correlation ◽  
Distance Estimation ◽  
The State ◽  
Robot Arm ◽  
Stereo Motion

SUMMARYWe consider the problem of distance estimation in the context of a mobile camera, as, for example, when the camera is attached to a robot arm. It is natural in this case to consider stereo motion, and we present here the theoretical basis for an axial stereo method based on cross-correlation using the Fast Fourier Transform, which is appropriate in the context considered here. Finally, we describe the state of implementation of the system in our laboratory.

scholarly journals Laser Speckle Interferometer for Deformation Measurement based on Fast Fourier Transform method

2016 ◽  
Vol 4 (1) ◽  
Author(s):  
R. Balamurugan
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Cross Correlation ◽  
Fourier Transforms ◽  
Complex Multiplication ◽  
Laser Speckle ◽  
Transform Method ◽  
Fourier Transform Method ◽  
Fast Fourier Transform Method ◽  
Flexible Measurement

<em>In this paper, Laser speckle image processing based on Fast Fourier Transform method for displacement measurement is presented. Capturing Laser speckle images before displacement and after displacement of the specimen is the technique involved in this measurement. The cross correlation is computed by two 2Dimensional Fast Fourier Transforms (one direct and the other is inverse) and a complex multiplication. This is a non-contact, flexible measurement with high accuracy and simple operation. The results are verified by conventional gauge methods.</em>

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