光谱学与光谱分析
光譜學與光譜分析
광보학여광보분석
SPECTROSCOPY AND SPECTRAL ANALYSIS
2015年
4期
1124-1128
,共5页
陈书旺%王军星%盛伟楠%刘瑾%张文斌%周鹏
陳書旺%王軍星%盛偉楠%劉瑾%張文斌%週鵬
진서왕%왕군성%성위남%류근%장문빈%주붕
Savitzky-Golay滤波器%表面等离子体共振%均方误差%Stein’s无偏风险估计%Monte-Carlo
Savitzky-Golay濾波器%錶麵等離子體共振%均方誤差%Stein’s無偏風險估計%Monte-Carlo
Savitzky-Golay려파기%표면등리자체공진%균방오차%Stein’s무편풍험고계%Monte-Carlo
Savitzky-Golay filter%SPR%MSE%Stein’s unbiased risk estimate%Monte-Carlo
表面等离子体共振(surface plasmon resonance ,SPR)谱因共振强度、共振位置等不同而呈现不同的幅度和峰宽,需要发展自适应的分析方法才能保证SPR共振峰的精确定位。提出了一种基于Savitzky‐Golay滤波器最优参数的SPR谱滤波方法,可根据实时SPR谱的特点优化滤波器参数(拟合阶数和窗宽),使滤波后光谱的均方误差(mean squared error ,MSE)的 Stein’s无偏风险估计(Stein’s unbiased risk estimate , SURE)最小,采用Monte‐Carlo算法实现了SURE的快速求解。经验证,在不同的噪声水平下,SURE都可以准确反映实际MSE趋势及结果。采用搭建的SPR系统,实验测量了不同浓度、不同积分时间下蔗糖溶液的SPR信号,用提出的最优参数对SPR信号进行滤波,结果表明,与固定参数相比,该方法确定的SPR共振峰位置重复性误差较小,且不随噪声的增大而增大。
錶麵等離子體共振(surface plasmon resonance ,SPR)譜因共振彊度、共振位置等不同而呈現不同的幅度和峰寬,需要髮展自適應的分析方法纔能保證SPR共振峰的精確定位。提齣瞭一種基于Savitzky‐Golay濾波器最優參數的SPR譜濾波方法,可根據實時SPR譜的特點優化濾波器參數(擬閤階數和窗寬),使濾波後光譜的均方誤差(mean squared error ,MSE)的 Stein’s無偏風險估計(Stein’s unbiased risk estimate , SURE)最小,採用Monte‐Carlo算法實現瞭SURE的快速求解。經驗證,在不同的譟聲水平下,SURE都可以準確反映實際MSE趨勢及結果。採用搭建的SPR繫統,實驗測量瞭不同濃度、不同積分時間下蔗糖溶液的SPR信號,用提齣的最優參數對SPR信號進行濾波,結果錶明,與固定參數相比,該方法確定的SPR共振峰位置重複性誤差較小,且不隨譟聲的增大而增大。
표면등리자체공진(surface plasmon resonance ,SPR)보인공진강도、공진위치등불동이정현불동적폭도화봉관,수요발전자괄응적분석방법재능보증SPR공진봉적정학정위。제출료일충기우Savitzky‐Golay려파기최우삼수적SPR보려파방법,가근거실시SPR보적특점우화려파기삼수(의합계수화창관),사려파후광보적균방오차(mean squared error ,MSE)적 Stein’s무편풍험고계(Stein’s unbiased risk estimate , SURE)최소,채용Monte‐Carlo산법실현료SURE적쾌속구해。경험증,재불동적조성수평하,SURE도가이준학반영실제MSE추세급결과。채용탑건적SPR계통,실험측량료불동농도、불동적분시간하자당용액적SPR신호,용제출적최우삼수대SPR신호진행려파,결과표명,여고정삼수상비,해방법학정적SPR공진봉위치중복성오차교소,차불수조성적증대이증대。
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 for‐mant .Based on the optimized Savitzky‐Golay filter ,this paper presents a method for SPR spectrum ,which can optimize the pa‐rameters (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 su‐crose under different concentrations and integration time through the SPR system .By using the proposed method of optimal pa‐rameters on the SPR signal filtering ,the results show that the repeatability error of the position of SPR formant is smaller com‐pared with the fixed parameters ,and does not increase with the addition of noise levels .