时滞一维递归滤波器建模和仿真  

Modeling and Simulation of Delayed One-Dimensional Recursive Filter

作　　者：高其娜[1,2] 朱莹[1,2] 王金广[2,3] 夏志超[4] 

机构地区：[1]北京航空航天大学电子信息工程学院 [2]北京航空技术研究中心 [3]南京航空航天大学电子信息工程学院 [4]94371部队

出　　处：《计算机仿真》2014年第10期277-280,共4页Computer Simulation

摘　　要：针对递归滤波器设计中不考虑时滞带来的稳定性问题,研究递归滤波器时滞的主要因素群时延,以时滞下的频响特性和稳定性仿真为依据,考虑滤波效果与滤波器群时延对控制系统稳定性的影响,首选群时延较小的数字滤波器,通过调整系统的方法进行了一维IIR递归滤波器信号建模和改进设计。完成了不带时滞和考虑时滞的仿真比较,结果表明,改进后系统状态响应收敛速度变快,递归滤波器在更宽的频率范围内延时相同,相频特性较之以前更逼近直线,更好地做到了无相位失真。Considering the stability in recursive filter design due to time delay, group delay is studied in this pa- per as a major factor of time delay for recursive filter. Based on the simulation of frequency response and stability with time delay, the effect of filter performance and group delay on the stability of control system is discussed. A dig- ital filter with shorter time delay is selected, and signal modeling and design improvement of infinite impulse response （IIR） recursive filter are carried out through system adjusting. Simulation comparison between filters with and with- out time delay is given. The results show that the improved system has faster convergence rate. With same time delay in a wider frequency range, the phase - frequency characteristics of improved system approach to better linear approx- imation and less phase distortion.

关 键 词：时滞 递归滤波 稳定 建模 仿真 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置] TP391[自动化与计算机技术—控制科学与工程]