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研究生: 劉麗珍
Liu, Li-Chen
論文名稱: 應用於心電圖之低頻交換式電容六階帶通濾波器
Sixth-order switched-capacitance band-pass filter for ECG application
指導教授: 龔正
Gong, Jeng
黃智方
Huang, Chin-Fang
口試委員:
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 電子工程研究所
Institute of Electronics Engineering
論文出版年: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 65
中文關鍵詞: 交換式電容濾波器電容乘法器
外文關鍵詞: switched-capacitor, filter, capacitance multiplier
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  •   本論文是設計應用於心電圖(electrocardiogram)的交換式電容帶通濾波器。從人體擷取到的心電訊號,必須先經由儀器放大器放大,再經過帶通濾波器將雜訊濾除,只擷取需要的頻寬範圍,其中帶通濾波器是由高通濾波器和低通濾波器組成。正常人的心臟跳動大約一分鐘60~100次,設計帶通濾波器的中心頻率為2.2Hz,其高通濾波器的3dB極點為0.05Hz,目的在濾除電路裡的直流偏移和直流漂移等低頻雜訊,避免造成後級電路飽和。再串接多級低通濾波器,有效並快速的濾除高頻雜訊,其3dB極點為100Hz,低頻增益為十倍,放大訊號以便觀察。
      又因為濾波器所需要的頻段非常低頻,電路設計中的電阻電容值勢必非常大,且電阻的製程誤差大,採用交換式電容的技術取代原有的電阻,使原本需要幾十MEGΩ到幾百MEGΩ的電阻,只需要幾pF的電容即可達成,不僅降低面積的需求,且濾波器的轉換函數變成電容的比例,layout佈局更可以達到縮小誤差。
    最後,採用電容放大器(Capacitance Multiplier)的技術。利用運算放大器的虛短路和相同尺寸相同阻抗的反相器等特性,組成比起通過原尺寸的電容還有大數倍電流的電路方塊,應用這種概念組成的電流放大器(Current Multiplier Cell),串聯數個電路方塊,就可以將電容放大到很高的倍數,本論文設計了放大一萬倍的電容。


    In this thesis a switched-capacitor band-pass filter was designed for the application of electrocardiogram (ECG). The ECG signal had been acquired from the body. First of all, the signal was gained by using instrument amplifier. Then, noise and unwanted signal was filtered out by using band-pass filter, which was consisted of high-pass filter series with low-pass filters. High-pass filter, which cutoff frequency was at 0.05Hz and filtered out the dc bias and dc offset to avoid circuit working in saturation region. Then, two stages of low-pass filters filtered out noise at high frequency effectively, which cutoff frequency were at 100Hz and had a gain of nine for observing easily.
    Due to the ultra low frequency specific, large resistances and capacitances were needed. Therefore the technique of switched-capacitor equivalent to resistance was designed. This design of switched-capacitor made the system only need a few pF of the capacitance could achieve the specification in place of large resistances, not only saved the areas, but also transferred the function to a ratio of capacitances, and it also made less error of production.
    Due to the large capacitances were designed, the technique of capacitance multiplier was adopted too, capacitance multiplier was consisted of series many stages of current multiplier cells (CMC). CMC was composed of operational amplifiers which input pairs were virtual ground and inverters which used the same size for the same impendence, the current would be multiplied and the capacitance would also be multiplied. In the thesis ten thousands of capacitances was designed.

    第一章 緒論…………………………………………………………1 1.1 心電圖………………………………………………………1 1.2 濾波器規格…………………………………………………2 第二章 交換式電容帶通濾波器……………………………………4 2.1 二階高通濾波器………………………………………4 2.1.1 二階高通濾波器轉換方程式…………………4 2.1.2 二階高通濾波器模擬…………………………6 2.2 四階低通濾波器………………………………………7 2.2.1 二階低通濾波器轉換方程式…………………7 2.2.2 高階濾波器……………………………………9 2.2.3 四階低通濾波器模擬…………………………10 2.3 六階帶通濾波器………………………………………12 2.4 交換式電容濾波器……………………………………13 2.4.1 電晶體開關等效電路模型……………………13 2.4.2 交換式電容等效電路模型……………………16 2.4.3 交換式電容一階低通濾波器…………………………………19 2.5 交換式電容六階帶通濾波器…………………………23 第三章 濾波器電路設計與模擬……………………………………26 3.1 運算放大器…………………………………………………26 3.2 非重疊反相時脈……………………………………………30 3.2.1 電流源(PTAT) ………………………………………30 3.2.2 電流控制振盪器(ICO) ……………………………32 3.2.3 非重疊反相時脈(NONOVERLAP CLOCK) ……………35 3.3 六階帶通濾波器模擬………………………………………37 3.3.1 頻率響應……………………………………………37 3.3.2 暫態分析……………………………………………37 第四章 電容乘法器…………………………………………………40 4.1 自偏壓電容乘法器(SBCM) …………………………………40 4.1.1 接地自偏壓電容乘法器之等效阻抗…………………41 4.1.2 浮動自偏壓電容乘法器之等效阻抗…………………44 4.1.3 浮動自偏壓電容乘法器之高通濾波器模擬…………48 4.2 電流放大之電容乘法器(CMC) …………………………………49 4.2.1 電流放大之電容乘法器之等效阻抗…………………49 4.2.2 浮動電流放大之電容乘法器…………………………………51 4.2.3 電流放大之電容乘法器之高通濾波模擬……………………54 4.3 電容乘法器之比較………………………………………………59 4.4 電容乘法器應用於交換式電容濾波器之模擬…………………60 第五章 結論…………………………………………………………63

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