High-accuracy variable-phase filter design utilising iterative linear-programming strategy
High-accuracy variable-phase filter design utilising iterative linear-programming strategy
复制标题
利用迭代线性规划策略的高精度可变相位滤波器设计
DOI：
10.1080/00207217.2017.1321143
复制
发表时间：
2017
影响因子：
1.3
通讯作者：
Deng Tian-Bo
中科院分区：
文献类型：
--
作者：
藤谷和平;佐川奈津子;徳重英信;高橋良輔;Deng Tian-Bo;Deng Tian-Bo
本文提出了一种迭代策略，采用线性规划（LP）方法设计的全通可变相位（AP-VP）数字滤波器在极小极大误差意义下。在数学上，设计AP-VP数字滤波器属于非线性优化问题。新的LP设计方法首先将该非线性最小化问题简化为线性最小化问题，然后通过使用LP方法迭代地解决线性化优化问题。迭代LP求解方案能够显着减少最大设计误差，因此与非迭代方案相比可以获得相当大的精度提高。我们将利用三个设计实例来表明，这种迭代方案可以得到更好的设计结果（更小的最大误差）比文献中的非迭代方法。因此，这种迭代LP设计策略可以显著提高AP-VP数字滤波器的性能。
This paper proposes an iterative strategy employing the linear programming (LP) method for the design of an all-pass variable-phase (AP-VP) digital filter in the minimax error sense. Mathematically, designing an AP-VP digital filter belongs to a non-linear optimisation problem. The novel LP design method first reduces this non-linear minimisation problem to a linear minimisation problem and then solves the linearised optimisation problem iteratively via using the LP method. The iterative LP-solving scheme is able to reduce the largest design errors significantly and thus can get a considerable accuracy improvement as compared to the noniterative one. We will utilise three design examples to show that this iterative scheme can get much better design results (much smaller maximum errors) than the noniterative method in the literature. Therefore, this iterative LP design strategy can significantly enhance the performance of the AP-VP digital filter.