545 区分ハーモニックウェーブレット変換による時変パラメータ推定

概要

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Estimation of instantaneous damping and frequencies by the wavelet transform is based on the ridge identification and the phase extraction in the time-frequency map. Time-varying parameters due to nonlinearities are also estimated by this technique. However, the process of the ridge identification is complicated, and the most suitable mother wavelet to yield a time-frequency map for an efficient identification can not be determinately chosen. There are some problems in easiness to operate the technique. In this paper, we propose the segmental use of the harmonic wavelet. The segmental harmonic wavelet is implemented in combination with the Fourier transfer, which is utilized to set bounds to frequency range. It shows significantly good results compared with the simple application of the Hilbert transform. The time-varying parameters pertaining to nonlinearities are successfully estimated by the proposed method.
社団法人日本機械学会の論文
2007-09-25