Title :
On the performance of a second-order adaptive Volterra filter
Author :
Dokic, Miroslav V. ; Clarkson, Peter M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Inst. of Technol., Chicago, IL, USA
fDate :
5/1/1993 12:00:00 AM
Abstract :
The impact of the bias or DC term on the performance of a second-order Volterra least-mean-square (LMS) filter is discussed. Without the DC term the filter may itself produce a biased output. It is shown that including a DC term always degrades adaptive system performance, in terms of both convergence and steady state. Unlike the usual LMS approach, the second-order scheme converges nonuniformly, even with white inputs. For deterministic signals an approximate transfer function descriptor is obtained for the second-order LMS filter. Jury (1964) tables are used to obtain explicit stability conditions
Keywords :
adaptive filters; digital filters; least squares approximations; transfer functions; DC term; Jury tables; adaptive system performance; approximate transfer function; convergence; deterministic signals; second-order LMS filter; second-order adaptive Volterra filter; stability conditions; steady state; Adaptive filters; Adaptive signal processing; Adaptive systems; Convergence; Filtering algorithms; Least squares approximation; Nonlinear systems; Signal processing algorithms; Speech processing; Stability analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
