Application of Wavelet Transform in Fundamental Study of Measurement of Blood Glucose Concentration with Near2Infrared Spectroscopy

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1 Journal of Tianjin University Vol. 37 No. 6 Jun Ξ 1,2, 1,2, 3 (1., ; 2. 2, ; 3., ) :,,,.,,(RMSEP) 53 %58 %.. : ; ; : O : A : (2004) Application of Wavelet Transform in Fundamental Study of Measurement of Blood Glucose Concentration with Near2Infrared Spectroscopy LIU Ze2yi 1,2, TANG Guo2xin 1,2, XU Ke2xin 3 (1. School of Science, Tianjin University,Tianjin ,China ; 2. Liu Hui Center for Applied Mathematics, Nankai University & Tianjin University,Tianjin ,China ; 3. National Key Lab of Precision Measuring & Testing Techniques and Instruments, Tianjin University,Tianjin ,China) Abstract: Because of its properties of time2frequency transform, the wavelet transform is an effective denoised method. With the pretreatment of spectra based on wavelet analysis, the spectra2to2noise ratio was greatly improved while the noise was suppressed effectively. It also improved the prediction precision and robust of the model. This method is applied to fundamental study of measurement of blood glucose concentration with spectroscopy. Experimen2 tal results show that the Root mean square error of prediction (RMSEP) of the calibration model reduces by 53 % and 58 % respectively. It is instructive for the study of the theory of measurement of blood glucose with spectroscopy. Keywords : wavelet transform; human blood glucose concentration ; robust,..,,. [1,2 ].,,.,,.,,. Ξ : ; : : ( ) ;(BA706B221) ;; 2. :(1958 ),,,.

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3 : 537.,,,.,,. 1 Tab. 1 Results comparison of the pretreatments RMSEP/ (mg dl - 1 ) Savitzky2Golay Perkin2Elmer Spectrum GX, InSb, cm - 1, 1 cm - 1,1 mm,, TBA30.,, TBD, : 100 ml, 100 ml ;, 1 500,10 min ;,TBA , mg/ dl,, mg/ dl ( 33 ), mg/ dl,0360 mg/ dl, ;36, mg/ dl,, mg/ dl.

4 cm cm cm ;3 800 cm cm - 1,4 500 cm - 1,, cm db2, 3., N 1 N.,,. 2 2 PLS ( ), RMSEP. :,. 2 RMSEP RMSEP 47 %42 %. 2,2 2,. 3,, 2., RMSEP mg/ dl mg/ dl, RMSEP mg/ dl mg/ dl. 3 4,,,. 2 Tab. 2 Prediction results of the model without wavelet transform RMSEP/ (mg/ dl) RMSEP/ (mg/ dl) ( ) (a) 1 ( ) ( ) ( ) (b) 3 Fig. 3 Prediction results of four components sample

5 : (a) (b) 4 Fig. 4 Prediction results of blood sample,,.,..,. : [1 ] Li Qingbo,Xu Kexin. The process in the noninvasive blood glu2 cose measurement [ J ]. International Medical Devices, 2002, 8 (7) :56 59 (in Chinese). [2 ] Xu Kexin,Cui Houxin. The fundamental study of the noninvasive blood glucose measurement [ J ]. Journal of Tianjin University, 2003,36 (2) : (in Chinese). [3 ] Daubechies I. The wavelet transform[j ]. IEEE Transactions on Information Theory, 1990, 36 (5) : [4 ] Shao Xueguang,Cai Wensheng,Sun Peiyan. Determination of the component number in overlapping multicomponent chromatogram using wavelet transform[j ]. Chemom Intell Lab Sys, 1998,43 (12 2) : [5 ] Mallat S G. A theory for multiresolution signal decomposition, the wavelet representation [J ]. IEEE Trans, chine Intell, 1989,11 (7) : Pattern Anal Ma2 [6 ] Bos M, Vrielink J. The wavelet transform for preprocessing IR spectra in the identification of mono2and di2substituted benzenes [J ]. Chemom Intell Lab Sys, 1994,23 (1) : [7 ] Alsberg B K, Woodward A M, Winson M K, et al. Wavelet de2 noising of infrared spectra [J ]. Analyst, 1997,122 (7) : [8 ] Coifman R R, Donobo O L. Translation2invariant Denoising, Wavelets and Statistics[M]. New York : Springer2Verlag, [9 ] Donobo D L. Denoising by soft2thresholding[j ]. IEEE Transac2 tion on Information, 1995,41 (3) : [10 ] Hu Changhua, Zhang Junbo. System Analysis and Design Based on MATLAB2Wavelet Analysis [ M ]. Xi an : Xidian University Press,1999 (in Chinese). [11 ] Zhen Zhizhen. The Application of Wavelet Transform and MAT2 LAB Toolbox[M]. Beijing : Earthquake Press,2001 (in Chinese). [12 ] Zhou Jingang,Jin Shaoxian,Chen Hongbing. The noise2filtering of chemiluminescence spectra with wavelet multiresolution anal2 ysis[j ]. Spectroscopy and Spectral Analysis,2000,20 (2) : (in Chinese). [13 ] Liu Shushen, Yi Zhongsheng. Fundamental Chemometrics [ M]. Beijing :Science Press,1999 (in Chinese). [14 ] Liang Yieng, Yu Ruqin. Chemometrics [ M]. Beijing : Chemical Industry Press,2000 (in Chinese). [15 ] Shao Xueguang,Pang Chunyan,Sun Li. Wavelet transform and signal processing in analytical chem istry[j ]. Process in Chem2 istry,2000,12 (3) : (in Chinese).