Title :
Identification of Hammerstein model using cubic splines and FIR filtering
Author :
Gasparini, Marco ; Romoli, Laura ; Cecchi, S. ; Piazza, Francesco
Author_Institution :
Dept. of Inf. Eng., Univ. Politec. delle Marche, Ancona, Italy
Abstract :
Nonlinear models are exploited in the field of digital audio systems for modelling most of real-world devices that show a nonlinear behaviour. Among nonlinear models, Hammerstein systems are realized through a static nonlinearity cascaded with a linear filter. In this paper, the Hammerstein coefficients are estimated using an adaptive Catmull-Rom cubic spline for the static nonlinearity and an adaptive FIR filter for the dynamic linear system also introducing a preprocessing for the time delay estimation. Experimental results confirm the effectiveness of the proposed approach, making also comparisons with existing techniques of the state of the art.
Keywords :
FIR filters; adaptive filters; audio signal processing; filtering theory; splines (mathematics); FIR filtering; Hammerstein model Identification; Hammerstein systems; adaptive Catmull-Rom cubic splines; digital audio systems; dynamic linear system; nonlinear behaviour; nonlinear models; static nonlinearity; time delay estimation; Adaptation models; Finite impulse response filters; Mathematical model; Nonlinear distortion; Polynomials; Splines (mathematics);
Conference_Titel :
Image and Signal Processing and Analysis (ISPA), 2013 8th International Symposium on
Conference_Location :
Trieste
DOI :
10.1109/ISPA.2013.6703766