ウィグナー分布とフーリエ変換のハイブリッドスペクトル解析法による表面波動現象の解析(機械力学,計測,自動制御)

概要

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Wigner Distribution (WD) has recently attracted attention from many researchers as a tool for time-frequency signal analysis. WD offers higher frequency resolution but with interference terms for multiple frequency components. This paper first reveals that WD can be calculated as the convolution of Fourier Transform (FT), and then derives a series of transforms between FT and WD. A new method of spectral analysis as a hybrid of WD and FT is proposed for time-varying signals. The method offers higher frequency resolution with neither interference terms nor aliasing. Finally, we compare the proposed with FT and WD by a simple simulation and show its significance. This method is applied to measurement of a wave motion on the free surface of the Taylor vortex flow. Then we propose this new method is available to the time-frequency signal analysis.
社団法人日本機械学会の論文
2002-07-25