fir滤波器的学位论文

摘要

21世纪是数字化的时代，纵观当代通信的发展趋势，已成为引领通信变革的主潮流。通信是在数字化浪潮的背景下，在计算机技术的应用和信息技术的发展的结果。数字信号滤波器在各种数字信号处理中发挥着重要的作用，数字信号设计一直是数字信号处理领域的重要研究课题。近年来，数字信号技术在我国也得到迅速发展，不论是在科学技术研究，还是在开发等发面，其应用越来越广泛，并取得了丰硕的成果。

本文主要介绍如何用窗函数法和雷米兹交换法设计FIR滤波器的的具体步骤与方法，以及相关数字信号处理的一些具体算法，并在MATLAB环境下进行仿真。根据仿真运行的结果来说明各项运行指标均达到设计要求。分析和比较两种设计方法性，以及它们分别所适用的范围，通过设计表达这两种方法的运算简单、精度高、设计过程简单易行，适合于工程设计。

关键词：FIR数字滤波器线性相位MATLAB仿真窗函数雷米兹法

Abstract

The 21st century is the era of digital, looking back at the development trend of contemporary communications, has become the main changes leading communications trend. This is the communication in the digital wave of context, the application of computer technology and the development of information technology results. Digital signal filter in a variety of digital signal processing plays an important role, digital signal design digital signal processing has been an important research topic in the field. In recent years, Digital Signal Technology in China has been developing rapidly, both in scientific and technological research and development is failing in its application more and more widely, and achieved fruitful results.

Therefore, this artcle introduced the FIR filter may realize the strict linear phase under the window function and Remez function, designs gronp of filters coefficients ,vses least squares method to optimize these coefficients .in the foundation which smallest two rides to unify the Lagrange law first to restrain the belt is smallest two rides transfers asks the condition extreme value ,introduces Lagrange to leave the Lagrange function while the structure ,then carries on the solution Finally the full use data analysis carries on the simulation realization under the MATLAB environment .Thas may know,restraint least squares method designs the filter has the algorithm simply.

Key words:FIR Digital Filter Minimum MATLAB simulation Linear phase Window function Remez function

目录

摘要......................................................................................................I Abstract.................................................................................................II 目录....................................................................................................III 绪论 (1)

1数字滤波器的简介 (2)

1.1数字滤波器的介绍 (2)

1.2数字滤波器的原理 (2)

1.3数字滤波器的设计 (4)

1.3.1 数字滤波器的设计过程 (4)

1.3.2 数字滤波器的设计方法 (5)

2 FIR数字滤波器的基本结构 (6)

2.1 FIR滤波器的基本结构 (6)

2.2 最大误差最小化准则 (9)

3 线性相位的FIR数字滤波器 (12)

3.1线性相位的概念 (12)

3.2线性相位滤波器 (13)

3.3线性相位FIR数字滤波器的设计方法 (15)

3.3.1 雷米兹交换法设计FIR数字滤波器 (15)

3.3.2 FIR数字滤波器的线性规划设计 (18)

4线性相位FIR滤波器的仿真设计 (20)

4.1信号处理工具箱中的最优设计函数 (20)

4.2MATLAB设计FIR数字滤波器的方法 (21)

4.3 线性相位FIR滤波器的仿真设计 (22)

4.4 线性相位FIR滤波器的窗函数法的仿真设计 (23)

4.5 线性相位FIR滤波器的雷米兹交换法的仿真设计 (25)

4.6 结果分析 (28)

结论 (30)