Optimal Design of IIR Filters via the Partial Fraction Decomposition Method
In this paper, we consider the minimax design of infinite impulse response(IIR) filter. First, we apply the partial fraction method to decompose the transfer function into a sum of low order fractions, as a result the minimax IIR filter design problem can be formulated with the stability condition a...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
IEEE Circuits and Systems Society
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/71137 |
| _version_ | 1848762399344033792 |
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| author | Qi, H. Feng, Z. Yiu, K. Nordholm, Sven |
| author_facet | Qi, H. Feng, Z. Yiu, K. Nordholm, Sven |
| author_sort | Qi, H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the minimax design of infinite impulse response(IIR) filter. First, we apply the partial fraction method to decompose the transfer function into a sum of low order fractions, as a result the minimax IIR filter design problem can be formulated with the stability condition as constraints. Second, among different possible decompositions of the transfer function, we prove that the second order decomposition can always achieve good approximation to the optimal solution. Based on the second order decomposition formulation, several numerical experiments have been conducted, and better IIR filters can be designed using the proposed method compared with existing methods in the literature. |
| first_indexed | 2025-11-14T10:46:57Z |
| format | Journal Article |
| id | curtin-20.500.11937-71137 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:46:57Z |
| publishDate | 2018 |
| publisher | IEEE Circuits and Systems Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-711372019-07-31T03:49:06Z Optimal Design of IIR Filters via the Partial Fraction Decomposition Method Qi, H. Feng, Z. Yiu, K. Nordholm, Sven In this paper, we consider the minimax design of infinite impulse response(IIR) filter. First, we apply the partial fraction method to decompose the transfer function into a sum of low order fractions, as a result the minimax IIR filter design problem can be formulated with the stability condition as constraints. Second, among different possible decompositions of the transfer function, we prove that the second order decomposition can always achieve good approximation to the optimal solution. Based on the second order decomposition formulation, several numerical experiments have been conducted, and better IIR filters can be designed using the proposed method compared with existing methods in the literature. 2018 Journal Article http://hdl.handle.net/20.500.11937/71137 10.1109/TCSII.2018.2879914 IEEE Circuits and Systems Society restricted |
| spellingShingle | Qi, H. Feng, Z. Yiu, K. Nordholm, Sven Optimal Design of IIR Filters via the Partial Fraction Decomposition Method |
| title | Optimal Design of IIR Filters via the Partial Fraction Decomposition Method |
| title_full | Optimal Design of IIR Filters via the Partial Fraction Decomposition Method |
| title_fullStr | Optimal Design of IIR Filters via the Partial Fraction Decomposition Method |
| title_full_unstemmed | Optimal Design of IIR Filters via the Partial Fraction Decomposition Method |
| title_short | Optimal Design of IIR Filters via the Partial Fraction Decomposition Method |
| title_sort | optimal design of iir filters via the partial fraction decomposition method |
| url | http://hdl.handle.net/20.500.11937/71137 |