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

作者：Ho Charlotte Yuk Fan^*; Ling Bingo Wing Kuen; Chi Zhi Wei; Shikh Bahaei Mohammad; Liu Yan Qun; Teo Kok Lay

来源：IEEE Transactions on Circuits and Systems II-Express Briefs, 2008, 55(8): 781-785.

DOI：10.1109/TCSII.2008.922417

• functional inequality constraints
• minimal phase
• minimax nonsmooth optimization problem
• near allpass
• real-valued rational infinite-impulse response (IIR) filters
• strictly stable

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 find achieves a small maximum absolute phase error.

• 出版日期2008-8