Design of Near-Allpass Strictly Stable Minimal-Phase Real-Valued Rational IIR Filters

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 55; no. 8; pp. 781 - 785
• Main Authors: Ho, CYuk-Fan, Ling, BWing-Kuen, Chi, Zhi-Wei, Shikh-Bahaei, M, Liu, Yan-Qun, Teo, Kok-Lay
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2008; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation; Computer errors; Computer simulation; Constraint optimization; Councils; Design optimization; Functional inequality constraints; IIR filters; Inequalities; Mathematical analysis; Mathematical models; Mathematics; minimal phase; minimax nonsmooth optimization problem; Minimax techniques; near allpass; Numerical simulation; Optimization; Phase error; real-valued rational infinite-impulse response (IIR) filters; Signal processing; Specifications; Statistics; strictly stable
• ISSN: 1549-7747; 1558-3791; 1558-3791
• DOI: 10.1109/TCSII.2008.922417

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.