A fast recursive least-squares second order Volterra filter

V.J Mathews,J Lee

doi:10.1109/icassp.1988.196855

A fast recursive least-squares second order Volterra filter

V.J Mathews, J Lee

https://doi.org/10.1109/icassp.1988.196855

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Publication Date: Apr 11, 1988

Citations: 28

Affiliation: Tenri University, University of Utah

#Order Volterra Filter #Noisy Output Observations + Show 8 more

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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/sup 3/) multiplications. This compares with O(N/sup 6/) 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. >

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