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The noise reduction technique for the data measured simultaneously at multiple points is proposed. Given the fact that the measurement vibration data are superposition of limited number of modal responses, all the frequency responses can be expressed as superposition of a small number of common frequency characteristics. In addition, the deformation modes that change with frequency can also be expressed as superposition of a small number of common deformation patterns. On the contrary, it can be considered that the deformation modes which appear only in specific frequencies and the frequency characteristics which appear only at specific points are noises. Singular value decomposition is employed to extract the common components, and the noises can then be eliminated through the synthesis of these components.

The Proposal of the Noise Reduction Technique for Measurement Data Based on Modal Analysis