Optimal Design of IIR Filters via the Partial Fraction Decomposition Method
| Autor: | Zhi Guo Feng, He Qi, Ka Fai Cedric Yiu, Sven Nordholm |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Optimal design
0209 industrial biotechnology 020206 networking & telecommunications 02 engineering and technology Filter (signal processing) Partial fraction decomposition Minimax Transfer function Stability (probability) 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Applied mathematics Electrical and Electronic Engineering Infinite impulse response Numerical stability Mathematics |
| Zdroj: | IEEE Transactions on Circuits and Systems II: Express Briefs. 66:1461-1465 |
| ISSN: | 1558-3791 1549-7747 |
| DOI: | 10.1109/tcsii.2018.2879914 |
| Popis: | In this brief, 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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