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Abstract: Based on phase space reconstruction and
decomposition, the weighted phase space reconstruction algorithm for noise
reduction makes the time series continuation from one dimension to higher
dimension, which transforms the feature not easily discriminated in one
dimension to the attractor easily discriminated in higher dimension.
Distinguishing the different nature and feature of the attractor in higher
dimension and projecting the signal from higher dimension to one dimension by adapting the Hanning weighting windows, the natural feature of signal is displayed sufficiently. When the machinery breaks down, their vibration signals often include nonlinear and non-stationary feature. The algorithm is proposed to use for the noise reduction of machinery. This algorithm was analyzed and certificated by numeric value simulation and gear fault diagnosis. The result makes known that this algorithm is good on noise reduction for this kind of signal.
Key words: Time series analysis
Noise reduction
Phase space reconstruction
Fault diagnoses
CLC No: TN911.7 TH113.1
湖北省自然科学基金资助项目(2005ABA287). Received 20060805, received in revised form 20070308
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