Design of near-allpass strictly stable minimal-phase real.-valued rational IIR filters
Design of near-allpass strictly stable minimal-phase real.-valued rational IIR filters
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DOI：
10.1109/tcsii.2008.922417
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发表时间：
2008-08-01
影响因子：
4.4
通讯作者：
Teo, Kok-Lay
中科院分区：
文献类型：
--
作者：
Ho, Charlotte Yuk-Fan;Ling, Bingo Wing-Kuen;Teo, Kok-Lay
在这个简短的，近全通严格稳定的最小相位实值有理无限冲激响应滤波器的设计，使最大绝对相位误差最小化的最大绝对全通误差的规格。该问题实际上是一个同时受线性和二次函数不等式约束的极大极小非光滑优化问题。为了解决这个问题，非光滑的成本函数首先近似的光滑函数，然后我们以前提出的方法来解决这个问题。计算机数值仿真结果表明，所设计的滤波器满足所有函数不等式约束条件，最大绝对相位误差较小。
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.