Title :
Blind compensation of nonlinear distortions via sparsity recovery
Author :
Duarte, Leonardo T. ; Suyama, Ricardo ; Attux, Romis ; Romano, João Marcos T ; Jutten, Christian
Author_Institution :
DSPCom Lab., Univ. of Campinas, Campinas, Brazil
Abstract :
In this work, we address the problem of compensating a nonlinear memoryless system in a blind fashion, i.e., without considering a set of training points. Our proposal works with the assumption that the input signal admits a sparse representation in a transformed domain that should be known in advance. By assuming that the nonlinear distortion function makes the observed signal less sparse (this is observed in frequency transforms), the proposed method aims at estimating the original signal via a sparsity recovery procedure. Our approach is based on an approximation of the ℓ0-norm and on the use of polynomial functions as compensating structures. In order to assess the viability of the developed method, we perform a representative set of experiments on synthetic data.
Keywords :
approximation theory; compensation; nonlinear distortion; polynomials; signal representation; ℓ0-norm approximation; blind compensation; compensating structures; nonlinear distortion function; nonlinear memoryless system; polynomial functions; signal estimation; sparse signal representation; sparsity recovery procedure; synthetic data; Approximation methods; Discrete cosine transforms; Nonlinear distortion; Polynomials; Proposals; Signal to noise ratio; Blind compensation; nonlinear distortion; sparse signals;
Conference_Titel :
Signal Processing Conference (EUSIPCO), 2012 Proceedings of the 20th European
Conference_Location :
Bucharest
Print_ISBN :
978-1-4673-1068-0