Title :
Group delay and filter order estimation for least-squares design of IIR filters with unequal number of poles and zeros
Author :
Konopacki, Jacek
Author_Institution :
Inst. of Electron., Silesian Univ. of Technol., Gliwice
Abstract :
A weighted least squares design of IIR filters has been considered in many publications. A problem that remains open is the choice of suitable filter order and suitable group delay of the desired phase response for the given set of filter specifications. This article introduces formulas to determine these parameters. Good results of parameters estimation are achieved for filters with a few poles (outside the origin of the z-plain) and an arbitrary number of zeroes. The examples are included in the paper to illustrate how to use the proposed formulas.
Keywords :
IIR filters; delays; least mean squares methods; poles and zeros; IIR filters; digital filters; filter order estimation; group delay estimation; phase response; poles and zeros; weighted least squares design; Delay estimation; Digital filters; Finite impulse response filter; Frequency response; IIR filters; Least squares approximation; Least squares methods; Nonlinear equations; Poles and zeros; Stability criteria; Digital filters; IIR filters; complex domain approximation; filters design;
Conference_Titel :
Signals and Electronic Systems, 2008. ICSES '08. International Conference on
Conference_Location :
Krakow
Print_ISBN :
978-83-88309-47-2
Electronic_ISBN :
978-83-88309-52-6
DOI :
10.1109/ICSES.2008.4673431