基于模拟电感的二阶状态可调滤波器设计

兰州理工大学学报 ›› 2023, Vol. 49 ›› Issue (1): 83-86.

• 自动化技术与计算机技术 • 上一篇下一篇

基于模拟电感的二阶状态可调滤波器设计

李永安^*1,2, 侯婧嫱¹

1.陕西国际商贸学院信息工程学院, 陕西西安 712046;
2.咸阳师范学院物理与电子工程学院, 陕西咸阳 712000

收稿日期:2021-08-03 出版日期:2023-02-28 发布日期:2023-03-21
通讯作者: 李永安(1961-),男,陕西三原人,教授. Email:lya6189@tom.com
基金资助:
陕西省自然科学基金(2017JM6087)

Design of second-order state-tuned filter using simulated inductance

LI Yong-an^1,2, HOU Jing-qiang¹

1. School of Information and Engineering, Shaanxi Institute of International Trade & Commerce, Xi'an 712046, China;
2. School of Physics and Electronic Engineering, Xianyang Normal University, Xianyang 712000, China

Received:2021-08-03 Online:2023-02-28 Published:2023-03-21

摘要/Abstract

摘要： 基于集成运放的主极点模型,首先导出了接地电容双运放模拟电感的等效导纳表达式,它表明只有在理想运放条件下,电路才能等效为一个数值为CR²的电感.以此为依据,并以经典的无源二阶带通滤波器为拓扑,用元件替换法设计了一个二阶状态可调滤波器.该滤波器不仅可实现带通滤波,而且可以实现低通滤波功能.电路仅使用两个集成运放,而且使用两个接地电容,因此电路适宜集成.计算机仿真表明,电路的工作频率高达10 MHz,Q可高达100,并正确地解释了高频情况下出现Q增强和f_o减弱的原因.

关键词: Q增强和f_o减弱, 状态可调滤波器, 模拟电感, 集成运放

Abstract: Based on the dominant-pole model of the integrated operational amplifier (Op Amp), the equivalent admittance expression of the simulated inductance using grounded capacitors and dual op amps is first derived, which shows that only under ideal op amp conditions, the circuit can be equivalent to an inductor with a value of CR². Based on that and combined with the classic passive second-order band-pass filter topology, a second-order state-tuned filter is designed by the component replacement method, which can not only realize band-pass filtering but also realize low-pass filtering. With the circuit using only two Op Amps and two grounded capacitors, the circuit is suitable for integration. The computer simulation result shows that the circuit can run up to 10 MHz, and Q can be as high as 100. In addition, the reason for Q enhancement and f_o weakening under high-frequency conditions is correctly explained.

Key words: Q enhancement and f_oweakening, state-tuned filter, simulated inductance, integrated operational amplifier

中图分类号:

TN715.3

李永安, 侯婧嫱. 基于模拟电感的二阶状态可调滤波器设计[J]. 兰州理工大学学报, 2023, 49(1): 83-86.

LI Yong-an, HOU Jing-qiang. Design of second-order state-tuned filter using simulated inductance[J]. Journal of Lanzhou University of Technology, 2023, 49(1): 83-86.

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基于模拟电感的二阶状态可调滤波器设计

Design of second-order state-tuned filter using simulated inductance

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