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首页> 外文期刊>IEEE Transactions on Signal Processing >Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates
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Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates

机译:使用二次二次编程更新的具有强大稳定性的IIR数字滤波器的优化设计

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摘要

In this paper, minimax design of infinite-impulse-response (IIR) filters with prescribed stability margin is formulated as a conic quadratic programming (CQP) problem. CQP is known as a class of well-structured convex programming problems for which efficient interior-point solvers are available. By considering factorized denominators, the proposed formulation incorporates a set of linear constraints that are sufficient and near necessary for the IIR filter to have a prescribed stability margin. A second-order cone condition on the magnitude of each update that ensures the validity of a key linear approximation used in the design is also included in the formulation and eliminates a line-search step. Collectively, these features lead to improved designs relative to several established methods. The paper then moves on to extend the proposed design methodology to quadrantally symmetric two-dimensional (2-D) digital filters. Simulation results for both one-dimensional (1-D) and 2-D cases are presented to illustrate the new design algorithms and demonstrate their performance in comparison with several existing methods.
机译:本文将具有规定稳定性余量的无限脉冲响应(IIR)滤波器的极小极大化设计作为二次二次规划(CQP)问题提出。 CQP是一类结构良好的凸规划问题,可以使用有效的内点求解器。通过考虑因式分解的分母,提出的公式包含了一组线性约束,这些约束对于IIR滤波器具有规定的稳定性裕量是足够的和几乎必需的。公式中还包含了每次更新幅度的二阶圆锥条件,该条件确保了设计中使用的关键线性逼近的有效性,并且消除了寻线步骤。总而言之,相对于几种已建立的方法,这些功能可以改进设计。然后,本文继续将所提出的设计方法扩展到象限对称的二维(2-D)数字滤波器。给出了针对一维(1-D)和2-D情况的仿真结果,以说明新的设计算法,并与几种现有方法进行比较,证明其性能。

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