Analysis of SPR Signal by Using Optimized Savitzky-Golay Filter
CHEN Shu-wang1, WANG Jun-xing1, SHENG Wei-nan2, 3, LIU Jin2, 3, ZHANG Wen-bin2, ZHOU Peng2, 4*
1. Institute of Information Science & Engineerning，Hebei University of Science and Technology，Shijiazhuang 050018，China 2. School of Precision Instrument and Optoelectronics Engineering，Tianjin University，Tianjin 300072，China 3. State Key Laboratory of Precision Measuring Technology and Instruments，Tianjin University，Tianjin 300072，China 4. Tianjin Key Laboratory of Biomedical Detection Technology and Instrumentation，Tianjin University，Tianjin 300072，China
Abstract：The spectrum of surface plasmon resonance shows different amplitudes and peak widths with the effects of resonant intensity and position, so it’s necessary to develop the self-adaptive methods to guarantee the accurate positioning of SPR formant. Based on the optimized Savitzky-Golay filter, this paper presents a method for SPR spectrum, which can optimize the parameters (polynomial degree and window size) according to the characteristics of the real time SPR spectrum, and minimizes the Stein’s unbiased risk estimate of the mean squared error, and it can be quickly solved by Monte-Carlo methods. It is confirmed that SURE can accurately reflect the trends and the results of the true MSE. The experiment measures the SPR signals of sucrose under different concentrations and integration time through the SPR system. By using the proposed method of optimal parameters on the SPR signal filtering, the results show that the repeatability error of the position of SPR formant is smaller compared with the fixed parameters, and does not increase with the addition of noise levels.
[1] Otto A Z. Phys., 1968, 216: 398. [2] Anderson G P, Glaven R H, Algar W R, et al. Analytica Chimica Acta, 2013, 786: 132. [3] Stahelin R V. Molecular Biology of the Cell, 2013, 24(7): 883. [4] Savitzky A, Golay M J E. Analytical Chemistry, 1964, 36(8): 1627. [5] Zuo C, Chen Q, Yu Y, et al. Optics Express, 2013, 21(5): 5346. [6] Hassanpour H. Digital Signal Processing, 2008, 18(5): 728. [7] Quan Q, Cai K Y. Digital Signal Processing, 2012, 22(2): 238. [8] CAI Tian-jing, TANG Han(蔡天净, 唐 瀚). Digital Communication(数字通信), 2011, 1(17): 63. [9] Zimmermann B, Kohler A. Applied Spectroscopy, 2013, 67(8): 892. [10] XIE Jun, PAN Tao, CHEN Jie-mei, et al(谢 军，潘 涛，陈洁梅，等). Chinese Journal of Analytical Chemistry(分析化学), 2010, 38(3): 342. [11] Vivó-Truyols G, Schoenmakers P J. Analytical Chemistry, 2006, 78(13): 4598. [12] Li K C. The Annals of Statistics, 1985, 13(4): 1352. [13] Zhang X P, Desai M D. Signal Processing Letters, IEEE, 1998, 5(10): 265. [14] Guo Q, Zhang C. Science Asia, 2012, 38(2): 207. [15] Blu T, Luisier F. Image Processing, IEEE Transactions on, 2007, 16(11): 2778. [16] Ramani S, Blu T, Unser M. IEEE Transactions on Image Processing, 2008, 17(9): 1540. [17] Ramani S, Blu T, Unser M. Proc. of the Thirty-Third IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP’08)，2008. 905. [18] Krishnan S R, Seelamantula C S. IEEE Transactions on Signal Processing, 2013, 61(2): 380.
