IIR数字滤波器的粒子群优化设计方法

探讨了IIR（Infinite Impulse Response）数字滤波器的设计,重点研究了IIR数字滤波器设计的粒子群优化（Particle Swarm Optimization,PSO）算法及算法框图,总结了粒子群优化算法的实现步骤。这一算法的提出,避免了传统算法的缺点,所设计的滤波器达到了理想的性能。通过实验表明,IIR数字滤波器的粒子群优化算法优于遗传算法。     

IIR数字滤波器设计的粒子群优化算法

本文探讨了粒子群优化算法及其性能评估准则，然后重点研究了IIR数字滤波器设计的粒子群优化算法及其实现步骤。最后，通过IIR数字低通、带通滤波器设计两个实例证明了本文算法的有效性。     

一种有效的IIR数字滤波器优化设计方法

针对IIR数字滤波器优化设计实质上是一个多参数多目标优化问题,本文提出一种基于量子遗传算法的IIR数字滤波器满意优化设计方法,通过设计满意度函数而构造出满意优化计算模型,将滤波器性能指标的满意设计与参数优化统一考虑,并用本文提出的收敛速度快和全局寻优能力强的新量子遗传算法(NQGA)搜索满意解。通过低通和带通IIR数字滤波器的设计结果表明,该方法是有效、实用的。     

基于免疫机制的PSO算法中IIR数字滤波器设计

针对微粒群算法(PSO)在搜索过程中粒子的多样性差,易陷入局部最优且收敛速度慢等缺陷,将生物免疫系统中克隆选择机制和独特型免疫网络理论引入到微粒群优化算法中,提出了一种基于免疫机制的PSO优化算法(SOIM)并将其用于IIR数字滤波器的设计.该算法结合了微粒群算法的全局寻优能力和免疫多样性保持机制,改善了微粒群算法摆脱局部极值点的能力,提高了算法的收敛速度.仿真结果表明该算法在多模态搜索空间中具有更好的全局收敛性能和稳定性,是一种有效可行的IIR数字滤波器设计方法.     

基于人工鱼群算法的IIR数字滤波器设计

将人工鱼群算法（AFSA）用于IIR数字滤波器设计，建立了相应的优化模型，给出了简化的人工鱼群算法及其实现步骤。最后，将该算法用于低通、带通IIR数字滤波器的设计，并与粒子群算法进行了比较。仿真结果证明了AFSA的有效性，并且具有算法灵活、简单，全局收敛性好。收敛速度快的优点。     

基于FIR与相位补偿IIR滤波器的雷达回波信号处理

FIR与IIR频率选择滤波器的设计,被广泛应用于数字信号处理领域之中。文章以雷达回波信号的数字处理为例,首先分别设计FIR,IIR滤波器完成了对信号特定频率分量的滤除。进而,针对IIR滤波器的非线性相位,基于最优化设计全通系统实现了相位补偿,并对FIR,IIR滤波器进行了综合比较。     

IIR数字滤波器的仿真实现研究

作为改变信号频谱的算法装置,数字滤波器及其设计受到人们广泛地关注,其分为有限长冲激响应（FIR）数字滤波器和无限长冲激响应（IIR）数字滤波器。文中探究具有无限持续时间的冲击响应的IIR数字滤波器系统,并提出如何利用MATLAB软件实现仿真设计。     

基于CORDIC算法的数字滤波器设计

FIR和IIR数字滤波器广泛应用于各种数字信号处理系统。从坐标旋转公式出发，阐述了CORDIC算法的原理．同时在FPGA上实现了该算法的设计，并且基于CORDIC算法建立了FIR和IIR数字滤波器的电路模型，使之能在同一电路上通过开关控制集成实现。     

基于ⅡR的煤矿井下电法勘探信号处理分析

文章配合ALTERA公司的Max+plus Ⅱ开发平台,使用VHDL语言设计了两种IIR数字滤波器算法。并分析了两种IIR数字滤波器算法的优缺点,从而提高信号处理速度。     

基于加权最小二乘正则化方法的混合滤波器组最优化设计

模拟分析滤波器的实现误差以及数字综合滤波器有效阶数实现的设计误差造成的病态问题都将影响混合滤波器组(HFB)的重构效果.提出一种新的满足近似完美重构的基于加权最小二乘(WLS)正则化算法的IIR形式综合滤波器设计方法.该算法根据误差量二阶统计特性采用WLS算法抑制滤波器实现误差以及随机噪声等扰动因素影响,使得到的综合滤波器组频域响应解的加权误差平方和最小化,并通过Tikhonov正则化方法优化解的稳定性.提出一种IIR类型综合滤波器设计算法,并利用正则化方法优化滤波器系数,减小设计误差.该方法可应用于过采样HFB的设计.仿真结果表明该算法的有效提高系统鲁棒性和改善重构性能.     

PCLS IIR digital filters with simultaneous frequency responsemagnitude and group delay specifications

This paper presents the peak-constrained least-squares (PCLS) approach to designing IIR digital filters. PCLS IIR digital filters that meet simultaneous specifications on the frequency response magnitude and the group delay are introduced. As a point of reference, we consider the IIR digital filter design problem that appears in Deczky's (1972) classic paper and in the popular textbook by Oppenheim and Schafer (1989). In addition, the same design problem appears in the IIR filter design chapter by Higgins and Munson (1993) in the Handbook for Digital Signal Processing. By using our new algorithm with simultaneous optimization of the frequency response magnitude and the group delay, we obtain a dramatic improvement in the solution of this classic IIR digital filter design problem. Starting from the same filter structure and the same specifications for the frequency response magnitude as in the works of Deczky, Oppenheim and Schafer, and Higgins and Munson, we are able to reduce the group delay ripple by a factor of 35. In another design problem that originated in Deczky's work, we use PCLS optimization to reduce the group delay ripple by a factor of 40 at the same time we reduce the stopband energy by 6 dB, without sacrificing any other performance measure. The group delay ripple in this IIR digital filter example is reduced to only ±0.002 samples     

基于MATLAB的IIR数字滤波器设计研究

IIR数字滤波器属于经典数字滤波器的一种，详细描述了利用功能强大的MATLAB编程语言设计IIR数字滤波器的方法和步骤。     

基于Matlab的IIR数字滤波器快速设计

针对数字滤波器的概念比较抽象,且数值计算较为繁琐的问题,文中给出了借助模拟滤波器快速设计IIR数字滤波器的方法,并在Matlab环境下做出了IIR滤波器的快速设计系统。设计实例及运行结果表明,该设计方法简化了IIR数字滤波器的设计程序,并大幅提高了设计效率。     

Design of stable IIR digital filter based on least P-power error criterion

In this paper, the least p-power error criterion is presented to design digital infinite impulse response (IIR) filters to have an arbitrarily prescribed frequency response. First, an iterative quadratic programming (QP) method is used to design a stable unconstrained one-dimensional IIR filter whose optimal filter coefficients are obtained by solving the QP problem in each iteration. Then, the proposed method is extended to design constrained IIR filters and two-dimensional IIR filters with a separable denominator polynomial. Finally, design examples of the low-pass filter are demonstrated to illustrate the effectiveness of the proposed iterative QP method.     

Low-Order IIR Filter Bank Design

The advantage of infinite-impulse response (IIR) filters over finite-impulse response (FIR) ones is that the former require a much lower order (much fewer multipliers and adders) to obtain the desired response specifications. However, in contrast with well-developed FIR filter bank design theory, there is no satisfactory methodology for IIR filter bank design. The well-known IIR filters are mostly derived by rather heuristic techniques, which work in only narrow design classes. The existing deterministic techniques usually lead to too high order IIR filters and thus cannot be practically used. In this paper, we propose a new method to solve the low-order IIR filter bank design, which is based on tractable linear-matrix inequality (LMI) optimization. Our focus is the quadrature mirror filter bank design, although other IIR filter related problems can be treated and solved in a similar way. The viability of our theoretical development is confirmed by extensive simulation.     

Design of 1-D Stable Variable Fractional Delay IIR Filters

In this brief, a two-stage approach for the design of 1-D stable variable fractional delay infinite-impulse response (IIR) digital filters is proposed. In the first stage, a set of fixed delay stable IIR filters are designed by minimizing a quadratic objective function, which is defined by integrating error criterion with IIR filter stability constraint condition. Then, the final design is determined by fitting each of the fixed delay filter coefficients as a 1-D polynomial. Two design examples are given to show the effectiveness of the proposed design method     

基于嵌入式微计算机6811的IIR数字滤波器设计

无限脉冲响应(IIR)数字滤波器在很多领域中有着广阔的应用。本文用Butterworth法、切比雪夫1法法、切比雪夫2法通过MATLAB仿真软件对几种给定性能的IIR数字滤波器进行了仿真设计,并用基于MOTOROLA公司的M68HC11单片机进行了硬件设计实现,表明数字滤波器具有灵活、方便、功能强的特点。