Title :
A fast recursive least-squares second order Volterra filter
Author :
Mathews, V. John ; Lee, Junghsi
Author_Institution :
Dept. of Electr. Eng., Utah Univ., Salt Lake City, UT, USA
Abstract :
A fast, recursive least-squares (RLS) adaptive nonlinear filter is presented. The nonlinearity is modeled using a second-order Volterra-series expansion. The structure makes use of the ideas of fast RLS multichannel filters and has a computational complexity of O(N 3) multiplications. This compares with O(N6) multiplications required for direct implementation. Simulation examples in which the filter is employed to identify nonlinear systems using noisy output observations are also presented. Further simplification to the structure through a simplified model is discussed
Keywords :
digital filters; filtering and prediction theory; least squares approximations; RLS multichannel filters; adaptive nonlinear filter; computational complexity; fast recursive least-squares; multiplications; noisy output observations; nonlinear systems; nonlinearity; second order Volterra filter; simulation; Adaptive filters; Cities and towns; Computational complexity; Computational modeling; Delay; Least squares approximation; Noise cancellation; Nonlinear filters; Nonlinear systems; Resonance light scattering;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location :
New York, NY
DOI :
10.1109/ICASSP.1988.196855
