Title :
A Sparsity-Based Method for Blind Compensation of a Memoryless Nonlinear Distortion: Application to Ion-Selective Electrodes
Author :
Tomazeli Duarte, Leonardo ; Suyama, Ricardo ; Attux, Romis ; Travassos Romano, Joao Marcos ; Jutten, Christian
Author_Institution :
Sch. of Appl. Sci., Univ. of Campinas, Campinas, Brazil
Abstract :
In this paper, we propose a method for blind compensation of a memoryless nonlinear distortion. We assume as prior information that the desired signal admits a sparse representation in a transformed domain that should be known in advance. Then, given that a nonlinear distortion tends to generate signals that are less sparse than the desired one, our proposal is to build a compensating function model that gives rise to a maximally sparse signal. The implementation of this proposal has, as central elements, a criterion built upon an approximation of the ℓ0-norm, the use of polynomial functions as compensating structures, and an optimization strategy based on sequential quadratic programming. We provide a theoretic analysis for an ℓ0-norm criterion and results considering synthetic data. We also employ the method in an actual application related to chemical analysis via ion-selective electrode arrays.
Keywords :
compensation; computerised instrumentation; electrochemical electrodes; electrochemical sensors; nonlinear distortion; polynomial approximation; quadratic programming; sensor arrays; signal representation; blind compensation; chemical analysis; compensating function model; ion selective electrode array; l0-norm approximation; l0-norm criterion; maximally sparse signal representation; memoryless nonlinear distortion; optimization strategy; polynomial functions; sequential quadratic programming; sparsity-based method; Discrete cosine transforms; Equations; Mathematical model; Nonlinear distortion; Proposals; Sensors; Nonlinear distortion; blind methods; chemical sensor arrays; ion-selective electrodes; sparsity;
Journal_Title :
Sensors Journal, IEEE
DOI :
10.1109/JSEN.2014.2371013