Hyperspherical parametrization for unit-norm based adaptive IIR filtering

Author

Sankaran, S.G. ; Beex, A. A. Louis

Author_Institution

Bradley Dept. of Electr. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA

Volume

6

Issue

12

fYear

1999

Firstpage

318

Lastpage

320

Abstract

The bias problem associated with equation error based adaptive infinite impulse response (IIR) filtering can be surmounted by imposing a unit-norm constraint on the autoregressive (AR) coefficients. We propose a hyperspherical parameterization to convert the unit-norm-constrained optimization into an unconstrained optimization. We show that the hyperspherical parameterization does not introduce any additional minima to the equation error surface.

Keywords

IIR filters; adaptive filters; autoregressive processes; filtering theory; minimisation; optimisation; AR coefficients; adaptive IIR filtering; adaptive infinite impulse response filtering; autoregressive AR coefficients; equation error minimisation; equation error surface; hyperspherical parametrization; unconstrained optimization; unit-norm constraint; unit-norm-constrained optimization; Adaptive filters; Computational complexity; Constraint optimization; Digital signal processing; Equations; Filtering; Finite impulse response filter; IIR filters; Lagrangian functions; Poles and zeros;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.803434

Filename

803434