Stability analysis of linear time-varying IIR filter with equalized group delay characteristic

Author

Okoniewski, Piotr ; Piskorowski, Jacek

Author_Institution

Fac. of Electr. Eng., West Pomeranian Univ. of Technol., Szczecin, Poland

fYear

2013

fDate

26-29 Aug. 2013

Firstpage

46

Lastpage

50

Abstract

The paper presents a stability analysis of linear time-varying IIR filter with equalized group delay characteristic. A problem of a non-linear phase response of an IIR filter is introduced. An allpass equalizer as a solution is proposed. The changes in the time domain that additional component introduces into the system is pointed out. The linear time-varying difference equation describing the IIR filter is shown. The methodology known from the literature of analysing the stability is presented. Then the algorithm is applied to check the stability of time-varying IIR filter with coefficients improving its time domain characteristic.

Keywords

IIR filters; stability; time-varying filters; allpass equalizer; equalized group delay characteristic; linear time-varying IIR filter; nonlinear phase response; stability analysis; Cutoff frequency; Delays; Difference equations; Equalizers; IIR filters; Stability analysis; Time-domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on

Conference_Location

Miedzyzdroje

Print_ISBN

978-1-4673-5506-3

Type

conf

DOI

10.1109/MMAR.2013.6669879

Filename

6669879