多速率系统网络丢包的FIR和IIR滤波器设计

FIR and IIR Filter Design for Multirate Systems with Packet Dropouts

以多速率系统为背景,考虑网络传输中的数据丢包,在此基础上设计H-无穷有限脉冲响应(FIR)和无限脉冲响应(IIR)滤波器。多速率系统由一个周期系统描述,以H-无穷规范测量其性能。为了保持系统的周期性,数据丢包以区间[0,1]的一个数值估计,目标是设计FIR和IIR滤波器的估计误差收敛为零,而噪声衰减到一个给定的约束指数的均方水平。这些条件的归纳为一组线性矩阵的可行性不等式(LMIs),并由此给出所需的滤波器参数。为了说明本文方法的有效性,提供了仿真实例。

This paper is concerned with the robust finite impulse response (FIR) and infinite impulse response (IIR) filter design for multirate systems, and considers packet dropouts during its network transmission. A periodic system model is used to represent the multirate systems, and the performance is measured in H-infinity norms. The packet dropout is governed by a constant in the interval [0, 1]. We aim to design FIR and IIR filter such that the estimation error converges to zero exponentially in the mean square while the noise attenuation is constrained to a given level. These conditions are characterized in terms of the feasibility of a set of linear matrix inequalities (LMIs), and then the explicit expression is given for the desired filter parameters.