Efficient Design of Arbitrary Complex Response Continuous-Time IIR Filter

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Trends in Communication Technologies and Engineering Science

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 33))

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Abstract

A continuous-time system identification technique, Vector Fitting (VF), is extended from symmetric functions, to asymmetrical cases and is used for complex infinite-impulse-response (IIR) continuous-time filter design. VF involves a two-step pole refinement process based on a linear least-squares solve and an eigenvalue problem. The proposed algorithm has lower complexity than conventional schemes by designing complex continuous-time filters directly. Numerical examples demonstrate that VF achieves highly efficient and accurate approximation to arbitrary asymmetric complex filter responses. The promising results can be realized for high dynamic frequency range networks. Robustness stability margin has also proposed for filter implementation robustness.

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Acknowledgment

This work was supported in part by the Hong Kong Research Grants Council and the University Research Committee of The University of Hong Kong.

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Correspondence to Chi-Un Lei .

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Lei, CU., Cheung, CM., Kwan, HK., Wong, N. (2009). Efficient Design of Arbitrary Complex Response Continuous-Time IIR Filter. In: Wai, PK., Huang, X., Ao, SI. (eds) Trends in Communication Technologies and Engineering Science. Lecture Notes in Electrical Engineering, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9532-0_13

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  • DOI: https://doi.org/10.1007/978-1-4020-9532-0_13

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