改进的结构进化无限冲激响应数字滤波器设计方法

为了进一步提高无限冲激击响应（IIR）数字滤波器的性能,提出了一种基于结构和参数同时进化的IIR数字滤波器设计方法。首先,通过遗传算法（GA）得到初始滤波器结构;然后,利用差分进化（DE）算法优化滤波器参数;最后,通过动态调整个体搜索步长和双向试探搜索的改进寻优算法对滤波器参数进一步优化,并将该算法用于低通、高通数字滤波器的设计。同基于遗传算法结构进化的IIR滤波器方法相比,继续利用差分进化算法和改进的寻优算法优化乘法器参数得到的低通数字滤波器的通带性能相差不大,但是过渡带宽度减小了65%,阻带最小衰减下降了36.48 dB;得到的高通数字滤波器通带波纹减少了75%,过渡带宽度减小了44%,阻带最小衰减下降了12.13 dB。实验仿真结果表明,所提方法可以获得性能更佳的滤波器,是一种有效可行的IIR数字滤波器的设计方法。     

用改进的GAOT设计数字滤波器

数字滤波器的设计是一个多维变量的寻优问题,但通常存在大量的局部极小点.遗传算法是一个全局优化算法,可以用于滤波器的设计.介绍了遗传算法工具箱(GAOT)并进行分析和改进,用改进的GAOT设计了IIR滤波器,通过仿真结果表明了改进的GAOT在设计IIR滤波器时的有效性.     

一种IIR数字滤波器优化设计的新方法

本文提出粒子进化规划算法(PEP),并将其应用于IIR数字滤波器的优化设计,该算法通过学习种群整体信息以增强全局搜索能力;通过时单一个体的当前最优个体的学习,以增强算法局部搜索能力,实验结果表明,用这种方法设计的数字滤波器性能明显由于进化规划算法(EP),说明了算法的有效性和实用性.     

FIR滤波器与IIR滤波器去噪效果对比研究

针对传统的滤波器设计方法效率低、方法复杂、不能满足高效高精度的需要等缺点,基于MATLAB研究了分别使用窗函数法和双线性变换法的FIR和IIR滤波器。将加入噪声的信号分别通过两种滤波器,滤除加入的噪声,对滤波前后的信号进行对比分析。通过仿真实验表明,FIR滤波器与IIR的Butterworth滤波器都能很好地克服传统滤波器的不足,通过语谱图直观地对比发现基于窗函数法设计FIR滤波器比双线性法设计的Butterworth滤波器能更好地达到预定的去噪效果。     

基于双链染色体结构的遗传算法研究

传统遗传算法的搜索精度不高,易出现早熟收敛,不能较好地维持种群多样性。提出了一种更加符合生物学进化原理的遗传算法,基于双链染色体结构的遗传算法。该算法根据染色体的特有结构,提出了染色体分离重组和自适应交叉的双链操作,并采用挑选子代再变异和最优个体保存策略来进行遗传优化。在与基本遗传算法的对比试验中可以看出,基于双链染色体结构的遗传算法能有效地抑制早熟现象,提高搜索精度,维持种群的多样性,并以较快的进化速度和较高的精度达到全局最优。     

基于FPGA的IIR数字滤波器的设计与仿真

提出一种在FPGA中实现高速IIR数字滤波器的方法,在理论上分析了IIR数字滤波器系数取整后的稳定性问题;利用FDATool设计滤波器,在Matlab中编程仿真;使用实验仿真的方法确定IIR滤波器系数量化字长,保证了IIR滤波器性能和硬件资源的优化,使IIR滤波器能适用高速场合,研究了FPGA中运算部件的运算特点,采用Verilog硬件描述语言实现迭代运算及有符号数乘法;最后编程实现IIR数字滤波器,通过Quartusll仿真并在FPGA上实现.通过试验验证,该方法设计的IIR数字滤波器收敛,能适用于对实时性要求高的系统中.     

基于双线性变换法的IIR数字滤波器设计与matlab仿真

传统的数字滤波器设计使用繁琐的公式计算,尤其是设计高阶滤波器时工作量很人.利用matlab数字信号处理(dsp)工具箱(signal processing toolbox)可以快速有效的实现数字滤波器的设计与仿真.MATLAB软件的频谱分析和滤波器的分析设计功能很强,从而使数字信号处理变得十分简单.本文比较了设计IIR数字滤波器的两种方法,介绍了利用双线性变换法设计IIR滤波器的原理、步骤,并在matlab下进行了仿真.     

数字滤波器设计的文化量子算法

有限脉冲响应(FIR)和无限脉冲响应(IIR)数字滤波器的设计实质可看作是多参数优化问题。为实现高效的数字滤波器,首先将滤波器的设计转化为滤波器参数的约束优化问题,然后提出文化量子(CQ)算法在参数空间进行并行搜索以获得滤波器设计的最优参数值。提出的文化量子算法结合文化原理,在量子种群空间更新中使用了量子旋转门的知识进化机制,是一种可用于实数解优化的快速多维搜索算法。计算机仿真实验表明在对FIR和IIR数字滤波器设计时,文化量子算法的收敛速度和性能都优于粒子群,量子粒子群以及自适应量子粒子群优化等算法,证明了该方法的有效性和优越性。     

基于进化规划算法的IIR数字滤波器优化设计

采用进化规划算法进行IIR数字滤波器的优化设计。进化规划算法是一种模拟自然选择和变异机制的随机并行优化算法。本文首先描述了进化规划算法,并将进化规划算法用于IIR数字滤波器优化设计,模拟计算结果表明本算法具有良好的优化效果。     

基于LabVIEW的数字滤波器的设计

LabVIEW是图形化虚拟仪器编程语言,它具有强大的数字信号处理功能。本文介绍了基于LabVIEW的数字滤波器的设计,它集FIR和IIR滤波器于一身,并且FIR滤波器的窗函数、IIR滤波器的模拟滤波器原型及滤波器的参数都很容易通过前面板来改变。仿真表明,所设计的数字滤波器滤波效果良好。     

Coefficient estimation of IIR filter by a multiple crossover genetic algorithm

This paper proposes an improved genetic algorithm (GA) with multiple crossovers to estimate the system coefficients for the infinite impulse response (IIR) digital filter. In the traditional crossover operation, it needs two parent chromosomes to achieve the crossover work, whereas in this paper the proposed algorithm selects three chromosomes for crossover in order to generate more promising offspring toward the problem solution. Each of unknown IIR coefficients is called a gene and the collection of genes forms a chromosome. A population of chromosomes is evolved by the genetic operations of reproduction, multiple crossover, and mutation. Finally, two illustrative examples including the band pass and band stop IIR filters are demonstrated to verify the proposed method.     

AN OPTIMAL DESIGN OF IIR DIGITAL FILTER USING PARTICLE SWARM OPTIMIZATION

In this article, a novel approach for infinite-impulse response (IIR) digital filters using particle swarm optimization (PSO) is presented. IIR filter is essentially a digital filter with recursive responses. Because the error surface of digital IIR filters is generally nonlinear and multimodal, so global optimization techniques are required in order to avoid local minima. This study is based on a heuristic way to design IIR filters. PSO is a powerful global optimization algorithm introduced in combinatorial optimization problems. This study finds the optimum coefficients of the IIR digital filter through PSO. It is found that the calculated values are more optimal than the FDA tool and GA available for the design of the filter in MATLAB. Design of low-pass and high-pass IIR digital filters is proposed in order to provide an estimate of the transition band. The simulation results of the employed examples show an improvement on the transition band. The stability of designed filters is described by the position of Pole-Zeros.     

基于随机结构的无乘法无限冲激响应数字滤波器设计方法

针对现有的无乘法无限冲激响应（ⅡR）数字滤波器设计方法存在结构固定、滤波器性能不佳的问题,提出了一种基于随机结构的无乘法ⅡR数字滤波器设计方法。该方法使用加入移位器的稳定二阶子系统直接进行无乘法滤波器的结构设计。首先,无乘法数字滤波器的结构编码被随机创建;然后,利用一种加入成功父代选择框架的差分进化算法（SPS-DE）对生成的无乘法滤波器结构进行优化。该方法实现了无乘法滤波器结构的多样化设计,而且SPS-DE算法因采用成功父代选择框架机制,具有很好的种群开发与勘探能力,在无乘法滤波器的结构优化上取得了很好的效果。与现有的无乘法ⅡR数字滤波器设计方法相比,该方法设计的无乘法ⅡR滤波器通带波纹减小了43%,阻带最大衰减下降了40.4%。实验结果表明所提方法设计的无乘法ⅡR滤波器满足结构要求并且拥有优良的性能。     

基于粒子群优化算法的自适应IIR滤波器设计

针对自适应无限冲激响应(infinite impulse response,IIR)数字滤波器的设计实质上是一个多参数优化问题,提出了一种用粒子群优化算法(particle swarm optimization,PSO)设计IIR数字滤波器的方法.将滤波器的设计问题转化为滤波器参数的优化问题,利用粒子群优化算法对整个参数空间进行高效并行搜索以获得参数的最优化,基于多个典型系统的随机数值仿真以及与最小二乘方法的比较研究,验证了该方法的有效性、全局性和对初值的鲁棒性.     

Structure-specified IIR filter and control design using real structured genetic algorithm

This paper develops an innovative optimization method, real structured genetic algorithm (RSGA), which combines the advantages of traditional real genetic algorithm (RGA) with structured genetic algorithm (SGA), and applies it for digital filter and control design optimization problems. For infinite impulse response (IIR) filter designs, the proposed approach fulfills all types of filters by minimizing the order of the filter and the absolute error of both passband and stopband. Both system structure and parametric variables are simultaneously optimized via the proposed chromosome scheme. The approach has also been extended to deal with robust control design problems. The approach offers an effective method for designing an optimal controller with robust stability. Simulation and experimental results conveys the excellence of the proposed algorithm over traditional approaches in convergence speed, performance, cost effectiveness, and attains simpler structure.     

一种基于TMS320C5402的数字IIR滤波器设计

数字IIR滤波器广泛地应用于数字信号处理领域。本文主要介绍了如何在定点DSP芯片上实现IIR数字滤波器，并且通过对IIR滤波器结构的分析，对IIR数字滤波器作了一定简化，使得在定点DSP芯片上容易实现。本文采用TI公司的C54系列DSK并结合MATLAB进行仿真，达到了预期的效果。     

A New Design Approach for Nearly Linear Phase Stable IIR Filter using Fractional Derivative

In this paper,a new design method for digital infinite impulse response(IIR)filters with nearly linear-phase response is presented using fractional derivative constraints(FDCs).In the proposed method,design problem of an IIR frlter is constructed as the minimization of phase error between the desired and designed phase response of an allpass filter(APF)such that the designed lowpass filter(LPF)or highpass frlter(HPF)yields less passband(ep),and stopband errors(es)with optimal stopband attenuation(As).In order to have accurate passband(pb)response,FDCs are imposed on appropriate reference frequency,where the optimality of these FDCs are ensured by using a new greedy based sorting mechanism.The simulated results reflect the efficiency of the proposed method in term of improved passband response along with better transition width.However,small reduction in^is observed within the allowable limit,when compared to noin-fractional design approach,but the designed filter remains immune to wordlength(WL)effect.     

A canonic-signed-digit coded genetic algorithm for designing finite impulse response digital filter

In this paper, the genetic algorithm (GA) based on Canonic Signed Digit (CSD) code was used to find the optimum design of a finite impulse response digital filter (FIR). By using the characteristics of the CSD structure, the circuit was able to be simplified and also the calculation speed was raised to increase the hardware's efficiency. However, CSD structure cannot be guaranteed by a general GA after the evolution of chromosomes. Thus in this research an algorithm was proposed which the CSD structure can be maintained. A CSD coded GA was used to the evolution of chromosome to reduce the time wasted by trials and errors during the evolution and then to accelerate the training speed. In this paper, a new hybrid code for the filter coefficients was proposed to improve the precision of the coefficient of FIR. An example is shown in this paper to verify the efficiency of the proposed algorithm.     

Design of IIR filters using a pole-zero mapping approach

This paper presents a new technique for designing IIR filters that have minimum deviation from equiripple response. The algorithm is also able to find transfer functions with unequal numerator and denominator orders, which are suitable for both digital and analog IIR sampled-data realizations. Elliptic filters are produced as a particular case, when equal numerator and denominator orders are specified. Pole-zero mapping is used for scalar update of optimization parameters, thereby reducing the algorithm complexity. Zeros are structurally allocated on the unit circumference for efficient stopband shaping. Moreover, filter stability is easily enforced by restricting the radii of the poles to be lower than 1. A Taylor series expansion is employed to determine the step size of the parameter updates. The proposed approach is based on evaluations of partial cost functions to avoid local minima, and hence increase the robustness and the convergence rate of the optimization process. Design examples are shown to illustrate the efficacy of the proposed design technique, compared to alternative design techniques.