DocumentCode :
666107
Title :
A system identification approach for design of IIR digital filters
Author :
Nakamoto, Masakazu ; Shimizu, N. ; Yamamoto, Takayuki
Author_Institution :
Dept. of Syst. Cybern., Hiroshima Univ., Higashi-Hiroshima, Japan
fYear :
2013
fDate :
10-13 Nov. 2013
Firstpage :
2360
Lastpage :
2365
Abstract :
In general, the problem of infinite impulse response (IIR) filters design has a non-linearity due to the presence of denominator polynomial; hence, an iterative optimization is usually needed to obtain the solution. In this paper, we independently generate several time series signals in stop-band, transition zone, and pass-band based on an algorithm which generates a Gaussian stochastic process with a prescribed frequency characteristic. After that, we synthesis the input signal and its ideal output signal, and can obtain the IIR filter by using system identification method from these signals. The advantage of the proposed method is that we can compute the IIR stable digital filters as a closed-form solution. We can approximate the given frequency response and the constant group delay without using iterative optimization. Finally, a design example is presented to illustrate the effectiveness of the proposed method by designing a high-pass IIR digital filter. As a result, we confirm the filter designed has a good magnitude response and an almost flat group delay.
Keywords :
Gaussian processes; IIR filters; band-pass filters; band-stop filters; iterative methods; optimisation; Gaussian stochastic process; IIR digital filter design; IIR stable digital filters; denominator polynomial; high-pass IIR digital filter; infinite impulse response filter design; iterative optimization; pass-band; prescribed frequency characteristic; stop-band; system identification approach; system identification method; time series signal generation; transition zone; Cost function; Delays; Digital filters; IIR filters; Iterative methods; Least squares approximations; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Industrial Electronics Society, IECON 2013 - 39th Annual Conference of the IEEE
Conference_Location :
Vienna
ISSN :
1553-572X
Type :
conf
DOI :
10.1109/IECON.2013.6699500
Filename :
6699500
Link To Document :
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