Design of near allpass strictly stable minimal phase real valued rational IIR filters

Ho, Charlotte Yuk-Fan and Ling, Bingo Wing-Kuen and Chi, Zhi-Wei and Shikh-Bahaei, Mohammad and Liu, Yan-Qun and Teo, Kok-Lay (2008) Design of near allpass strictly stable minimal phase real valued rational IIR filters. IEEE Transactions on Circuits and Systems II, 55 (8). pp. 781-785. ISSN 1549-7747

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Design_of_Near_Allpass_Strictly_Stable_Minimal_Phase_Real_Valued_Rational_IIR_Filters.pdf
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Official URL: http://dx.doi.org/10.1109/TCSII.2008.922417

Abstract

In this brief, a near-allpass strictly stable minimal-phase real-valued rational infinite-impulse response filter is designed so that the maximum absolute phase error is minimized subject to a specification on the maximum absolute allpass error. This problem is actually a minimax nonsmooth optimization problem subject to both linear and quadratic functional inequality constraints. To solve this problem, the nonsmooth cost function is first approximated by a smooth function, and then our previous proposed method is employed for solving the problem. Computer numerical simulation result shows that the designed filter satisfies all functional inequality constraints and achieves a small maximum absolute phase error.

Item Type:Article
Additional Information:In this brief, a near-allpass strictly stable minimal-phase real-valued rational infinite-impulse response filter is designed so that the maximum absolute phase error is minimized subject to a specification on the maximum absolute allpass error. This problem is actually a minimax nonsmooth optimization problem subject to both linear and quadratic functional inequality constraints. To solve this problem, the nonsmooth cost function is first approximated by a smooth function, and then our previous proposed method is employed for solving the problem. Computer numerical simulation result shows that the designed filter satisfies all functional inequality constraints and achieves a small maximum absolute phase error.
Keywords:strictly stable, minimal phase, near allpass, real valued rational IIR filters, functional inequality constraints, minimax nonsmooth optimization problem
Subjects:H Engineering > H600 Electronic and Electrical Engineering
Divisions:College of Science > School of Engineering
ID Code:2705
Deposited By: Rosaline Smith
Deposited On:25 Jun 2010 08:33
Last Modified:13 Mar 2013 08:39

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