A quantitative evaluation model of denoising methods for surface plasmon resonance imaging signal

Abstract We propose a quantitative evaluation model of denoising methods for surface plasmon resonance imaging (SPRI) signal. This model allows one to get the optimized denoising method. We can use the method to suppress the noise in SPRI signals effectively. In the demonstration of the model, we take wavelet transform based denoising methods as example to process SPRI signals constructed from theoretical simulated kinetic curves of biomolecular interactions. We find the mean square error (MSE) between the theoretical curves and the denoised kinetic curves from the optimized method approaches zero. Application of the optimized denoising method obtained from the model to SPRI signals helps to improve the resolution of SPRI instrument.

[1]  C. Stein Estimation of the Mean of a Multivariate Normal Distribution , 1981 .

[2]  Łukasz Komsta,et al.  A comparative study on several algorithms for denoising of thin layer densitograms. , 2009, Analytica chimica acta.

[3]  Quan Pan,et al.  Two denoising methods by wavelet transform , 1999, IEEE Trans. Signal Process..

[4]  Jean-Michel Poggi,et al.  Wavelets and their applications , 2007 .

[5]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[6]  J. Homola Surface plasmon resonance sensors for detection of chemical and biological species. , 2008, Chemical reviews.

[7]  Jiye Jin,et al.  Signals ratio method combined with wavelet transform: application to resolution of overlapped electrochemical signals , 2004, Analytical and bioanalytical chemistry.

[8]  L. Komsta Suppressing the charged coupled device noise in univariate thin-layer videoscans: a comparison of several algorithms. , 2009, Journal of chromatography. A.

[9]  M. Victor Wickerhauser,et al.  Adapted wavelet analysis from theory to software , 1994 .

[10]  Fritz Keinert,et al.  Wavelets and Multiwavelets , 2003 .

[11]  B. Vidakovic,et al.  On time-dependent wavelet denoising , 1998, IEEE Trans. Signal Process..

[12]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Xiao-Ping Zhang,et al.  Adaptive denoising based on SURE risk , 1998, IEEE Signal Processing Letters.

[14]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[15]  H. L. Resnikoff,et al.  Wavelet analysis: the scalable structure of information , 1998 .

[16]  Rakhi C. Motwani,et al.  Survey of Image Denoising Techniques , 2004 .

[17]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[18]  Wolfgang Knoll,et al.  Surface–plasmon microscopy , 1988, Nature.

[19]  Jianguo Yang,et al.  AN ANTI-ALIASING ALGORITHM FOR DISCRETE WAVELET TRANSFORM , 2003 .

[20]  Dadang Gunawan Denoising images using wavelet transform , 1999, 1999 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (PACRIM 1999). Conference Proceedings (Cat. No.99CH36368).