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Compressed Prediction of Time Series Three-dimensional Fluorescence Spectroscopy |
YU Shao-hui1,XIAO Xue2,DING Hong1,XU Ge1 |
1. School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui 230601, China
2. Key Laboratory of Environmental Optics & Technology, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China |
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Abstract As the time series spectroscopy data is usually redundant and it is a non-stationary process, it is firstly compressed by the wavelet transform along both the time mode and the spectroscopy mode. The distortion rate of two-dimensional reconstruction is smaller than 0.1 and the similarity is lager than 0.99. As for the fluorescence region, the distortion rate of one-dimensional reconstruction is also smaller than 0.2 and the similarity is lager than 0.9. All this demonstrates the effectiveness of the compression by wavelet transform. After the compression, the prediction of time series spectroscopy data is completed by ARIMA(p,d,q) model and six different tests are discussed. Furthermore, it is compared with wavelet neural network prediction model. Numerical results show the effectiveness of compression and the fast and accurate ability of the model.
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Received: 17 December 2015
Published: 27 September 2017
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