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Original Articles

A Novel Algorithm of the Wavelet Packets Transform and its Application to DE-Noising of Analytical Signals

Pages 743-760 | Published online: 18 Feb 2008

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Li Han, Yan Sun, Yan Wang, Haohao Fu, Chaoshu Duan, Mian Wang, Wensheng Cai & Xueguang Shao. (2023) Ultra-high resolution near-infrared spectrum by wavelet packet transform revealing the hydrogen bond interactions. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 289, pages 122233.
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Mian Wang, Hongle An, Wensheng Cai & Xueguang Shao. (2023) Wavelet Transform Makes Water an Outstanding Near-Infrared Spectroscopic Probe. Chemosensors 11:1, pages 37.
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Li Han, Yan Sun, Shiying Wang, Tao Su, Wensheng Cai & Xueguang Shao. (2022) Understanding the water structures by near‐infrared and Raman spectroscopy. Journal of Raman Spectroscopy 53:10, pages 1686-1693.
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Yunxiao Fu, Limin Jia, Yong Qin & Xiaoqing Cheng. 2016. Proceedings of the 2015 International Conference on Electrical and Information Technologies for Rail Transportation. Proceedings of the 2015 International Conference on Electrical and Information Technologies for Rail Transportation 855 862 .
Yan Liu, Wensheng Cai & Xueguang Shao. (2013) Intelligent background correction using an adaptive lifting wavelet. Chemometrics and Intelligent Laboratory Systems 125, pages 11-17.
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Jun Chen, Yi Chen, Jiying Xu, Yiming Zhang & Tao Liao. (2012) Post-experimental denoising and background subtraction of surface plasmon resonance images for better quantification. Chemometrics and Intelligent Laboratory Systems 114, pages 56-63.
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Ling Gao & Shouxin Ren. (2010) Prediction of nitrophenol-type compounds using chemometrics and spectrophotometry. Analytical Biochemistry 405:2, pages 184-191.
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Ling Gao & Shouxin Ren. (2010) Multivariate calibration of spectrophotometric data using a partial least squares with data fusion. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 76:3-4, pages 363-368.
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Ling Gao & Shouxin Ren. (2010) Combining orthogonal signal correction and wavelet packet transform with radial basis function neural networks for multicomponent determination. Chemometrics and Intelligent Laboratory Systems 100:1, pages 57-65.
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Shouxin Ren & Ling Gao. (2007) Resolution of overlapping signals in spectrometry using a wavelet packet transform and an Elman recurrent neural network. Analytical and Bioanalytical Chemistry 388:1, pages 215-225.
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Roberto Kawakami Harrop Galvão, Heronides Adonias Dantas Filho, Marcelo Nascimento Martins, Mário César Ugulino Araújo & Celio Pasquini. (2007) Sub-optimal wavelet denoising of coaveraged spectra employing statistics from individual scans. Analytica Chimica Acta 581:1, pages 159-167.
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Shouxin Ren & Ling Gao. (2006) Resolve of overlapping voltammetric signals in using a wavelet packet transform based Elman recurrent neural network. Journal of Electroanalytical Chemistry 586:1, pages 23-30.
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Fang-Qiu Guo, Yi-Zeng Liang, Cheng-Jian Xu, Xiao-Ning Li & Lan-Fang Huang. (2004) Analyzing of the volatile chemical constituents in Artemisia capillaris herba by GC–MS and correlative chemometric resolution methods. Journal of Pharmaceutical and Biomedical Analysis 35:3, pages 469-478.
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Xiao-Ning Li, Yi-Zeng Liang & Foo-Tim Chau. (2002) Smoothing methods applied to dealing with heteroscedastic noise in GC/MS. Chemometrics and Intelligent Laboratory Systems 63:2, pages 139-153.
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Wensheng Cai, Liya Wang, Zhongxiao Pan, Jian Zuo, Cunyi Xu & Xueguang Shao. (2001) Application of the wavelet transform method in quantitative analysis of Raman spectra. Journal of Raman Spectroscopy 32:3, pages 207-209.
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