Improved blind-source separation for spectra

被引:7
作者
Rowlands, Christopher J. [1 ]
Elliott, Stephen R. [1 ]
机构
[1] Univ Cambridge, Univ Chem Lab, Cambridge CB2 1EW, England
关键词
independent component analysis; blind source separation; signal processing; smoothness; INDEPENDENT COMPONENT ANALYSIS; ALGORITHMS;
D O I
10.1002/jrs.2936
中图分类号
O433 [光谱学];
学科分类号
0703 ; 070302 ;
摘要
A new method is proposed that improves the performance of independent component analysis (ICA) algorithms for separating overlapping spectra under certain circumstances. The method is designed for Raman spectra in particular, although it should be applicable to spectra with similar line shapes, such as nuclear magnetic resonance. In the zero-noise case, conventional ICA fails to separate synthetic Raman spectra completely; by maximising smoothness, as opposed to other more traditional measures of statistical independence, better performance can be achieved. The new method is tested against artificial and real Raman spectra, and demonstrates improved performance for each. The algorithm is fully automated, requiring no user input or judgement in order to separate the spectra. Copyright (C) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码:1761 / 1768
页数:8
相关论文
共 23 条
[1]  
AITKEN AC, 1957, U MATH TEXTS
[2]   ASYMPTOTIC THEORY OF CERTAIN GOODNESS OF FIT CRITERIA BASED ON STOCHASTIC PROCESSES [J].
ANDERSON, TW ;
DARLING, DA .
ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (02) :193-212
[3]  
[Anonymous], SciPy: Open source scientific tools for Python
[4]   SPECTRUM LINE PROFILES - VOIGT FUNCTION [J].
ARMSTRONG, BH .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1967, 7 (01) :61-+
[5]   AN INFORMATION MAXIMIZATION APPROACH TO BLIND SEPARATION AND BLIND DECONVOLUTION [J].
BELL, AJ ;
SEJNOWSKI, TJ .
NEURAL COMPUTATION, 1995, 7 (06) :1129-1159
[6]  
BERKES P, 2008, MODULAR TOOLKIT DATA
[7]   CuBICA: Independent component analysis by simultaneous third- and fourth-order cumulant diagonalization [J].
Blaschke, T ;
Wiskott, L .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (05) :1250-1256
[8]   APPLICATION HINTS FOR SAVITZKY-GOLAY DIGITAL SMOOTHING FILTERS [J].
BROMBA, MUA ;
ZIEGLER, H .
ANALYTICAL CHEMISTRY, 1981, 53 (11) :1583-1586
[9]   High-order contrasts for independent component analysis [J].
Cardoso, JF .
NEURAL COMPUTATION, 1999, 11 (01) :157-192
[10]  
Dantzig G. B., 1955, Pacific Journal of Mathematics, V5, P183