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

作　　者：王玮[1] 张子敬[1] 

机构地区：[1]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

出　　处：《西安电子科技大学学报》2014年第5期61-66,111,共7页Journal of Xidian University

基　　金：国家自然科学基金资助项目(61172137;60872155)

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.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.

关 键 词：分数延迟混合滤波器组 混合范数 线性矩阵不等式 

分 类 号：TN911.5[电子电信—通信与信息系统]