Title :
An iterative reweighted least-squares algorithm for the design of 2D IIR filters
Author :
Dumitrescu, Bogdan ; Niemisto, Riitta
Author_Institution :
Inst. of Signal Process., Tampere Univ. of Technol., Tampere, Finland
Abstract :
We present a new method for optimizing two-dimensional IIR filters with respect to a p-norm error criterion, especially for large p, when quasi-equiripple filters are obtained. We combine a Gauss-Newton convexification of the criterion with the iterative reweighted least-squares (IRLS) algorithm. Stability is obtained by using 1-D or 2-D convex stability domains based on a positive realness description. A final optimization of the numerator, keeping the denominator fixed, allows more freedom in choosing the value of a key parameter.
Keywords :
IIR filters; Newton method; equiripple filters; iterative methods; least squares approximations; two-dimensional digital filters; 1D convex stability domains; 2D IIR filter design; 2D convex stability domains; Gauss-Newton convexification; IRLS algorithm; iterative reweighted least-squares algorithm; p-norm error criterion; quasiequiripple filters; two-dimensional IIR filter optimization;
Conference_Titel :
Signal Processing Conference, 2004 12th European
Conference_Location :
Vienna
Print_ISBN :
978-320-0001-65-7
