A blind source separation method for chemical sensor arrays based on a second order mixing model

In this paper we propose a blind source separation method to process the data acquired by an array of ion-selective electrodes in order to measure the ionic activity of different ions in an aqueous solution. While this problem has already been studied in the past, the method presented differs from the ones previously analyzed by approximating the mixing function by a second-degree polynomial, and using a method based on the differential of the mutual information to adjust the parameter values. Experimental results, both with synthetic and real data, suggest that the algorithm proposed is more accurate than the other models in the literature.

[1]  C Jutten,et al.  A Dataset for the Design of Smart Ion-Selective Electrode Arrays for Quantitative Analysis , 2010, IEEE Sensors Journal.

[2]  Christian Jutten,et al.  Separation of Sparse Signals in Overdetermined Linear-Quadratic Mixtures , 2012, LVA/ICA.

[3]  Christian Jutten,et al.  Differential of the mutual information , 2004, IEEE Signal Processing Letters.

[4]  João Marcos Travassos Romano,et al.  Blind Source Separation of Post-nonlinear Mixtures Using Evolutionary Computation and Order Statistics , 2006, ICA.

[5]  Konstantin N. Mikhelson,et al.  Ion-Selective Electrodes , 2013 .

[6]  C. Jutten,et al.  A Bayesian Nonlinear Source Separation Method for Smart Ion-Selective Electrode Arrays , 2009, IEEE Sensors Journal.

[7]  Dinh-Tuan Pham,et al.  Fast algorithms for mutual information based independent component analysis , 2004, IEEE Transactions on Signal Processing.

[8]  Dinh-Tuan Pham,et al.  Criteria based on mutual information minimization for blind source separation in post nonlinear mixtures , 2005, Signal Process..

[9]  Christian Jutten,et al.  Design of Smart Ion-Selective Electrode Arrays Based on Source Separation through Nonlinear Independent Component Analysis , 2014 .

[10]  P. Bühlmann,et al.  Selectivity of potentiometric ion sensors. , 2000, Analytical chemistry.

[11]  Yannick Deville,et al.  Recurrent networks for separating extractable-target nonlinear mixtures. Part I: Non-blind configurations , 2009, Signal Process..

[12]  Yannick Deville,et al.  Blind Separation of Linear-Quadratic Mixtures of Real Sources Using a Recurrent Structure , 2009, IWANN.

[13]  Christian Jutten,et al.  A Sparsity-Based Method for Blind Compensation of a Memoryless Nonlinear Distortion: Application to Ion-Selective Electrodes , 2015, IEEE Sensors Journal.

[14]  Yannick Deville,et al.  Recurrent Source Separation Structures as Iterative Methods for Solving Nonlinear Equation Systems , 2012 .

[15]  Christian Jutten,et al.  Application of Blind Source Separation Methods to Ion-Selective Electrode Arrays in Flow-Injection Analysis , 2014, IEEE Sensors Journal.

[16]  Yannick Deville,et al.  Recurrent networks for separating extractable-target nonlinear mixtures. Part II. Blind configurations , 2013, Signal Process..