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数字滤波器与模拟滤波器设计比较

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目 录

摘要 ........................................................................................................................................................................ I ABSTRACT ....................................................................................................................................................... II 1 绪论 ................................................................................................................................................................ 1

1.1 滤波器的应用 .......................................................................................................................... 1 1.2 滤波器的发展现状 .............................................................................................................. 1 2 模拟滤波器设计 .................................................................................................................................. 3

2.1 低通滤波器设计 .................................................................................................................... 3

2.1.1 巴特沃思型低通滤波器设计 .................................................................................... 3 2.1.2 切比雪夫型低通滤波器设计 .................................................................................... 5

2.2 高通滤波器设计 .................................................................................................................... 8

2.2.1 巴特沃思型高通滤波器设计 .................................................................................... 8

2.3 带通滤波器设计 ................................................................................................................. 10

2.3.1 切比雪夫型带通滤波器设计 ................................................................................. 13

2.4 带阻滤波器设计 ................................................................................................................. 15

2.4.1 巴特沃思型带阻滤波器设计 ................................................................................. 16

3 数字滤波器设计 ............................................................................................................................... 25

3.1 数字滤波器概述 ................................................................................................................. 25

3.1.1 数字滤波器的基本结构 ............................................................................................ 21 3.1.2 数字滤波器的设计原理 ............................................................................................ 24

3.2 有限冲激响应滤波器设计 ......................................................................................... 25

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3.3 无限冲激响应滤波器设计 ........................................................................................... 27

4 模拟滤波器与数字滤波器比较 .......................................................................................... 28

4.1 模拟滤波器和数字滤波器优缺点 ...................................................................... 28 4.2 模拟滤波器与数字滤波器比较 ............................................................................ 36 结束语 .............................................................................................................................................................. 31 致谢 .................................................................................................................................................................... 32 参考文献 .................................................................................................................................................... 33

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数字滤波器与模拟滤波器设计比较

摘 要

模拟滤波器的设计方法已经比较成熟,在实际电路应用中常用于滤波精度不是很高的场合。模拟滤波器所要解决的主要问题是怎样设计出比较准确的截止频率和通频带。当一个混合信号通过模拟滤波器时,在滤波器通频带内的信号如何能够完整通过。上述的问题可以以模拟滤波器的归一化标准设计数据为基础来设计,设计中主要是对滤波器截止频率和特征阻抗的变换。模拟滤波器的归一化设计法比较简单,但截止频率特性与理想滤波器还是有一些偏差。数字滤波器的设计主要是解决如何获得离散的时间系统函数,要解决此问题可以采用脉冲响应不变法和窗函数法。用窗函数法设计的数字滤波器的相位特性要比脉冲响应不变法好些,而采用脉冲响应不变法可能会造成数字滤波器频率响应的失真。

关键词 数字滤波器/模拟滤波器/截止频率/窗函数

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DIGITAL FILTER ANALOG FILTER DESIGN AND

COMPARISON

ABSTRACT

Analog filter design method is relatively mature, often used in the actual circuit application filtering accuracy is not high occasions. Analog filter main problem to be solved is how to design a more accurate cutoff frequency and passband. When a mixed-signal through the analog filter, the filter passband signal how to complete pass. These problems can be an analog filter, the normalized standard design data as a basis for the design, the design of the filter is mainly cutoff frequency and characteristic impedance transformation. The normalized analog filter design method is relatively simple, but the ideal filter cutoff frequency characteristics and there are some deviations. Digital filter design is to solve how to obtain a discrete-time system function can be used to solve this problem impulse response method and the window

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数字滤波器与模拟滤波器设计比较

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