分数延迟混合滤波器组的范数最小化设计方法

doi:10.3969/j.issn.1001-2400.2014.05.011

J4 ›› 2014, Vol. 41 ›› Issue (5): 61-66+111.doi: 10.3969/j.issn.1001-2400.2014.05.011

分数延迟混合滤波器组的范数最小化设计方法

王玮;张子敬

(西安电子科技大学雷达信号处理国家重点实验室，陕西西安 710071)

收稿日期:2013-05-17 出版日期:2014-10-20 发布日期:2014-11-27
通讯作者: 王玮
作者简介:王玮(1984-)，男，西安电子科技大学博士研究生，E-mail: wangweidaiyu@163.com．
基金资助:
国家自然科学基金资助项目(61172137，60872155)

Design of hybrid filter banks with fractional delays using mixed norm performance measures

WANG Wei;ZHANG Zijing

(National Key Lab. of Radar Signal Processing, Xidian Univ., Xi'an 710071, China)

Received:2013-05-17 Online:2014-10-20 Published:2014-11-27
Contact: WANG Wei

摘要/Abstract

摘要：

根据分数延迟混合滤波器组的系统范数评价指标，提出通过最小化系统混合范数设计有限长脉冲响应数字综合滤波器的优化方法．该混合范数性能测度是基于误差信号的能量和峰值．提出的方法先将分数延迟混合滤波器组误差系统转化为一个等价的有限维多输入多输出线性时不变数字系统，然后给出数字系统在混合范数性能指标下基于线性矩阵不等式描述的凸优化问题．仿真实验表明，新方法设计的分数延迟混合滤波器组重构信号误差小于传统算法设计系统的重构信号误差．

关键词: 分数延迟混合滤波器组, 混合范数, 线性矩阵不等式

Abstract:

A mixed norm performance measure is presented to design finite impulse response (FIR) digital synthesis filters of hybrid filter banks with fractional delays. The mixed norm performance measure is based on the peak value as well as the energy of the error signal. The FIR filters are designed to minimize the performance measure of a hybrid error system. This hybrid and multirate problem is reduced to a mixed norm optimization problem involving only the linear time-invariant, discrete-time system. The theory of linear matrix inequalities offers a tractable solution to such a synthesis problem. Numerical experiments show that the proposed approach yields a better performance compared to existing techniques.

Key words: hybrid filter bank, mixed norm, linear matrix inequality

王玮;张子敬. 分数延迟混合滤波器组的范数最小化设计方法[J]. J4, 2014, 41(5): 61-66+111.

WANG Wei;ZHANG Zijing. Design of hybrid filter banks with fractional delays using mixed norm performance measures[J]. J4, 2014, 41(5): 61-66+111.

参考文献

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分数延迟混合滤波器组的范数最小化设计方法

Design of hybrid filter banks with fractional delays using mixed norm performance measures

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