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Wavelet matrix transform for time-series similarity measurement

机译:小波矩阵变换用于时间序列相似度测量

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摘要

A time-series similarity measurement method based on wavelet and matrix transform was proposed, and its anti-noise ability, sensitivity and accuracy were discussed. The time-series sequences were compressed into wavelet subspace, and sample feature vector and orthogonal basics of sample time-series sequences were obtained by K-L transform. Then the inner product transform was carried out to project analyzed time-series sequence into orthogonal basics to gain analyzed feature vectors. The similarity was calculated between sample feature vector and analyzed feature vector by the Euclid distance. Taking fault wave of power electronic devices for example, the experimental results show that the proposed method has low dimension of feature vector, the anti-noise ability of proposed method is 30 times as large as that of plain wavelet method, the sensitivity of proposed method is 1/3 as large as that of plain wavelet method, and the accuracy of proposed method is higher than that of the wavelet singular value decomposition method. The proposed method can be applied in similarity matching and indexing for lager time series databases.
机译:提出了一种基于小波和矩阵变换的时间序列相似度测量方法,并讨论了其抗噪能力,灵敏度和准确性。将时间序列压缩到小波子空间中,并通过K-L变换获得样本特征向量和样本时间序列的正交基。然后进行内积变换,将分析后的时序序列投影到正交基础中,以获得分析后的特征向量。通过欧几里德距离计算样本特征向量与分析特征向量之间的相似度。以电力电子设备的故障波为例,实验结果表明,该方法具有低维特征向量,抗噪能力是普通小波方法的30倍,灵敏度高。它是普通小波方法的1/3,并且该方法的精度高于小波奇异值分解方法。该方法可用于较大时间序列数据库的相似度匹配和索引编制。

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