Design of Sparse FIR Filters With Joint Optimization of Sparsity and Filter Order

Design of Sparse FIR Filters With Joint Optimization of Sparsity and Filter Order
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稀疏性和滤波器阶数联合优化的稀疏 FIR 滤波器设计

DOI:
10.1109/tcsi.2014.2354771
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发表时间:
2015
期刊:
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS
影响因子:
--
通讯作者:
Yibin Tang
Yibin Tang
中科院分区:
其他
文献类型:
--
作者:
Aimin Jiang;Hon Keung Kwan;Yanping Zhu;Xiaofeng Liu;Ning Xu;Yibin Tang

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本文提出了两种新的稀疏线性相位(LP)FIR滤波器算法。to.design与traditional.design方法相比,它们可以联合优化LP FIR滤波器的系数稀疏性和阶数,从而在滤波性能和实现效率之间取得平衡。正在考虑的The.design问题正式被转换为正则化。范数最小化问题,然后通过两种不同的设计算法来解决。在第一种算法中,原设计问题的目标函数是其上界,这导致了一个加权范数最小化问题,而在第二种算法中,引入了一组辅助变量,使得原设计问题可以等价地转化为另一个加权范数最小化问题。replaced.by迭代加权最小二乘(IRLS)algorithm.is采用适当的修改,以解决这两个加权范数最小化问题。仿真结果表明,与传统的方法相比,所提出的算法在稀疏性和有效滤波器阶数方面都可以获得相当或更好的设计结果。
In this paper, two novel algorithms are developed to.design sparse linear-phase (LP) FIR filters. Compared to traditional.design methods, they can jointly optimize coefficient sparsity.and order of an LP FIR filter, so as to achieve a balance between.filtering performance and implementation efficiency. The.design problem under consideration is formally cast as a regularized.-norm minimization problem, which is then tackled by.two different design algorithms. In the first proposed algorithm,.the objective function of the original design problem is replaced.by its upper bound, which leads to a weighted -norm minimization.problem, while in the second one a group of auxiliary variables.are introduced such that the original design problem can be.equivalently transformed to another weighted -norm minimization.problem. The iterative-reweighted-least-squares (IRLS) algorithm.is employed with appropriate modifications to solve both.weighted -normminimization problems. Simulation results show.that, compared to traditional approaches, the proposed algorithms.can achieve comparable or better design results in terms of both.sparsity and effective filter order.
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