In the present study, we investigated a noise reduction method by which to accurately obtain transfer functions in running transfer path analysis (TPA) using the principal component regression method. In the running TPA method, correct extraction of noise components from the principal components, which consist of transfer functions, is important. A statistical verification method for extracting the noise components in the principal components was applied. Rather than using the size of the principal component, as is the case in the conventional method, in the method of the present study, the significance probability of each principal component with respect to the output signal was set as a noise detection criterion. Subsequently, the noise reduction performance was verified through a simple simulation, and the performances of the statistical method and the conventional method were compared. The results of this comparison revealed that the influence of noise was reduced from the calculated transfer function more effectively by applying the statistical method than the conventional method.
In this study, we considered a calculation method to obtain accurately transfer functions employed in running transfer path analysis using principal component regression method. In the running transfer path analysis method, extracting noise components correctly in principal components, which consist of transfer functions, is important. Then, we tried to apply statistical verification method for extracting the noise components in the principal components. In the method, we set probability significance level of each principal component toward output signal as noise reduction standard instead of using the size of principal component that is used in conventional method. Subsequently, we verified the noise reduction performance through simple simulation and compared the performance of the statistical method and that of the conventional method. As results, noise influence was reduced from calculated transfer function by applying the statistical method effectively better than that of the conventional method. From these analytical results, it was clarified that the noise reduction method using statistical verification method has ability to obtain accurately transfer functions and considered that using the new method will increase the accuracy of running transfer path analysis method.
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