The authors reviewed the influence of various factors--inductive, mesomeric and steric effects, and magnetic fields and time correlation ratio. The authors offered the new correlation ratio in Chemistry and Biology wi...The authors reviewed the influence of various factors--inductive, mesomeric and steric effects, and magnetic fields and time correlation ratio. The authors offered the new correlation ratio in Chemistry and Biology with respect to time and magnetic field. The proposed formula takes into account the influence of the magnetic field on the correlation ratio.展开更多
Steady-state visual evoked potential(SSVEP)has become a powerful tool for Brain Computer Interface(BCI)because of its high signal-tonoise ratio,high information transmission rate,and minimal user training.At present,t...Steady-state visual evoked potential(SSVEP)has become a powerful tool for Brain Computer Interface(BCI)because of its high signal-tonoise ratio,high information transmission rate,and minimal user training.At present,the edge information of each region cannot be identified in spatial coding based on SSVEP-BCI technology,and the user experience is poor.To solve this problem,this paper designed a new paradigm to explore the relationship between the fixation point position of continuous sliding and the correlation coefficient ratio in the dualfrequency case.Firstly,the standard sinusoidal signal was employed to simulate the Electroencephalogram(EEG)signal,which verified the reliability of characterizing the amplitude variation of test signal by correlation coefficient.Then,the relationship between the amplitude response of SSVEP and the distance between the fixation point and the stimulus in the horizontal direction was tested by Canonical Correlation Analysis(CCA)and Filter bank CCA(FBCCA).Finally,the experimental data were offline analyzed under the condition of continuous sliding of the fixation point.It is feasible and reasonable to detect the amplitude change of frequency component in SSVEP by utilizing the spatial coding method in this paper to improve the extraction accuracy of spatial information.展开更多
This article develops some extremes of the ratios of determinants. The results are themultivariate extensions of the extremes of quadratic forms, and can be applied to finding thecanonicai correlation variables of two...This article develops some extremes of the ratios of determinants. The results are themultivariate extensions of the extremes of quadratic forms, and can be applied to finding thecanonicai correlation variables of two random vectors. Hence a group of canonical correlationvariables is a solution of the extreme of the ratio of determinants.展开更多
文摘The authors reviewed the influence of various factors--inductive, mesomeric and steric effects, and magnetic fields and time correlation ratio. The authors offered the new correlation ratio in Chemistry and Biology with respect to time and magnetic field. The proposed formula takes into account the influence of the magnetic field on the correlation ratio.
文摘Steady-state visual evoked potential(SSVEP)has become a powerful tool for Brain Computer Interface(BCI)because of its high signal-tonoise ratio,high information transmission rate,and minimal user training.At present,the edge information of each region cannot be identified in spatial coding based on SSVEP-BCI technology,and the user experience is poor.To solve this problem,this paper designed a new paradigm to explore the relationship between the fixation point position of continuous sliding and the correlation coefficient ratio in the dualfrequency case.Firstly,the standard sinusoidal signal was employed to simulate the Electroencephalogram(EEG)signal,which verified the reliability of characterizing the amplitude variation of test signal by correlation coefficient.Then,the relationship between the amplitude response of SSVEP and the distance between the fixation point and the stimulus in the horizontal direction was tested by Canonical Correlation Analysis(CCA)and Filter bank CCA(FBCCA).Finally,the experimental data were offline analyzed under the condition of continuous sliding of the fixation point.It is feasible and reasonable to detect the amplitude change of frequency component in SSVEP by utilizing the spatial coding method in this paper to improve the extraction accuracy of spatial information.
文摘This article develops some extremes of the ratios of determinants. The results are themultivariate extensions of the extremes of quadratic forms, and can be applied to finding thecanonicai correlation variables of two random vectors. Hence a group of canonical correlationvariables is a solution of the extreme of the ratio of determinants.
