A System Identification Based Approach for Design of IIR Digital Filters with Robust Stability
Design problem of infinite impulse response (IIR) filters is generally a non-linear optimization problem due to the presence of denominator polynomial. Additionally, the stability condition (position of poles) must be considered when optimizing the filter coefficients. Hence, an iterative optimizati...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2017-07-01
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| Series: | SICE Journal of Control, Measurement, and System Integration |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.9746/jcmsi.10.288 |
| _version_ | 1797661042196611072 |
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| author | Masayoshi Nakamoto Tomohiro Hirakawa Toru Yamamoto |
| author_facet | Masayoshi Nakamoto Tomohiro Hirakawa Toru Yamamoto |
| author_sort | Masayoshi Nakamoto |
| collection | DOAJ |
| description | Design problem of infinite impulse response (IIR) filters is generally a non-linear optimization problem due to the presence of denominator polynomial. Additionally, the stability condition (position of poles) must be considered when optimizing the filter coefficients. Hence, an iterative optimization is usually required to solve the design problem for stable IIR filter. In this paper, we present a new method for the design of IIR filters without iterative optimization. We employ a system identification method for time series signal where the input signal and its ideal output signal are generated by a Gaussian stochastic process with a prescribed frequency characteristic. Then, based on Parseval's theorem, we can obtain the IIR filter in the frequency domain. The advantage of the proposed method is to compute the IIR stable digital filters as a closed-form solution. That is, we can approximate the given frequency response and the constant group delay without using any iterative optimization. Also, we present a design method with specified maximum pole radius to achieve robust stability. Finally, design examples are presented to illustrate the effectiveness of the proposed method by designing a high-pass and low-pass IIR digital filter. |
| first_indexed | 2024-03-11T18:39:37Z |
| format | Article |
| id | doaj.art-300fc48c69a84bf792487425b08b7ad7 |
| institution | Directory Open Access Journal |
| issn | 1884-9970 |
| language | English |
| last_indexed | 2024-03-11T18:39:37Z |
| publishDate | 2017-07-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | SICE Journal of Control, Measurement, and System Integration |
| spelling | doaj.art-300fc48c69a84bf792487425b08b7ad72023-10-12T13:43:54ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702017-07-0110428829610.9746/jcmsi.10.28812103142A System Identification Based Approach for Design of IIR Digital Filters with Robust StabilityMasayoshi Nakamoto0Tomohiro Hirakawa1Toru Yamamoto2Dept. of System Cybernetics, Hiroshima UniversityGraduate School of Engineering, Hiroshima UniversityDept. of System Cybernetics, Hiroshima UniversityDesign problem of infinite impulse response (IIR) filters is generally a non-linear optimization problem due to the presence of denominator polynomial. Additionally, the stability condition (position of poles) must be considered when optimizing the filter coefficients. Hence, an iterative optimization is usually required to solve the design problem for stable IIR filter. In this paper, we present a new method for the design of IIR filters without iterative optimization. We employ a system identification method for time series signal where the input signal and its ideal output signal are generated by a Gaussian stochastic process with a prescribed frequency characteristic. Then, based on Parseval's theorem, we can obtain the IIR filter in the frequency domain. The advantage of the proposed method is to compute the IIR stable digital filters as a closed-form solution. That is, we can approximate the given frequency response and the constant group delay without using any iterative optimization. Also, we present a design method with specified maximum pole radius to achieve robust stability. Finally, design examples are presented to illustrate the effectiveness of the proposed method by designing a high-pass and low-pass IIR digital filter.http://dx.doi.org/10.9746/jcmsi.10.288system identificationiir digital filtersl2 normrobust stabilitynear linear phase |
| spellingShingle | Masayoshi Nakamoto Tomohiro Hirakawa Toru Yamamoto A System Identification Based Approach for Design of IIR Digital Filters with Robust Stability SICE Journal of Control, Measurement, and System Integration system identification iir digital filters l2 norm robust stability near linear phase |
| title | A System Identification Based Approach for Design of IIR Digital Filters with Robust Stability |
| title_full | A System Identification Based Approach for Design of IIR Digital Filters with Robust Stability |
| title_fullStr | A System Identification Based Approach for Design of IIR Digital Filters with Robust Stability |
| title_full_unstemmed | A System Identification Based Approach for Design of IIR Digital Filters with Robust Stability |
| title_short | A System Identification Based Approach for Design of IIR Digital Filters with Robust Stability |
| title_sort | system identification based approach for design of iir digital filters with robust stability |
| topic | system identification iir digital filters l2 norm robust stability near linear phase |
| url | http://dx.doi.org/10.9746/jcmsi.10.288 |
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