JPS6452316U - - Google Patents
Info
- Publication number
- JPS6452316U JPS6452316U JP14852287U JP14852287U JPS6452316U JP S6452316 U JPS6452316 U JP S6452316U JP 14852287 U JP14852287 U JP 14852287U JP 14852287 U JP14852287 U JP 14852287U JP S6452316 U JPS6452316 U JP S6452316U
- Authority
- JP
- Japan
- Prior art keywords
- resistor
- resistors
- input
- capacitor
- active filter
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 239000003990 capacitor Substances 0.000 claims description 5
- 230000005540 biological transmission Effects 0.000 claims 1
- 238000010586 diagram Methods 0.000 description 2
Description
第１図は本考案の一実施例に係るアクテイブフ
イルタ回路の回路図、第２図は従来例のアクテイ
ブフイルタ回路の回路図である。
３……第１入力部、４……第２入力部、５……
出力部、６……演算増幅器、７……入力端、８，
９，１１，１２，１３，１５，１６……抵抗、１
０，１４……コンデンサ。
FIG. 1 is a circuit diagram of an active filter circuit according to an embodiment of the present invention, and FIG. 2 is a circuit diagram of a conventional active filter circuit. 3...first input section, 4...second input section, 5...
Output section, 6... operational amplifier, 7... input end, 8,
9, 11, 12, 13, 15, 16...Resistance, 1
0,14...Capacitor.
Claims (1)
ｊωであらわされる角周波数をＳ、カツトオフ周
波数をωｃ、伝達零点の周波数をωｐ、尖鋭度を
Ｑとした場合に、その伝達関数Ｖｏ／Ｖｉが、 ＶＯ／Ｖｉ＝Ｈ・Ｓ２＋ωＰ２Ｓ２＋（ωＣ／
Ｑ）Ｓ＋ωＣ２……(1) であらわされる特性を実現するアクテイブフイル
タ回路であつて、 第１入力部、第２入力部および出力部を有する
演算増幅器を用い、入力端と演算増幅器の第１入
力部との間に第１抵抗と、第２抵抗および第１コ
ンデンサの直列回路とを並列に接続するとともに
、入力端と演算増幅器の第２入力部との間に第４
抵抗を接続し、その第２入力部とアースとの間に
第５抵抗を接続し、演算増幅器の出力部と第１入
力部との間に第３抵抗と第６抵抗との直列回路を
接続し、第２抵抗と第１コンデンサとの接続部と
第３抵抗と第６抵抗との接続部との間に第２コン
デンサを接続するとともに、第３抵抗と第６抵抗
との接続部とアースとの間に第７抵抗を接続して
なり、 前記第１ないし第７抵抗の抵抗値をそれぞれＲ
１〜Ｒ７とし、前記第１および第２コンデンサの
容量をそれぞれＣ１、Ｃ２とおいた場合、当該ア
クテイブフイルタ回路の伝達関数Ｖｏ／Ｖｉは次
式であらわされ、 ＶＯ／Ｖｉ＝Ｈ″・Ｓ２＋Ａ１／（Ａ２Ａ３）
Ｓ２＋Ｂ１Ｓ＋Ｂ２…(2) ただし、 Ｈ″＝｛〔Ｒ５／（Ｒ４＋Ｒ５）〕・〔（Ｒ６
＋Ｒ７）／Ｒ７〕−〔Ｒ４／（Ｒ４＋Ｒ５）〕・
Ｒ６・（１／Ｒ１＋１／Ｒ２）｝、 Ａ１＝１／Ｒ３−Ｒ４／（Ｒ５Ｒ１）−（Ｒ４
Ｒ６Ｒ７）／〔Ｒ５・（Ｒ６＋Ｒ７）・Ｒ１Ｒ３
〕、 Ａ２＝１／（Ｃ１Ｃ２Ｒ２）、 Ａ３＝１―（Ｒ４／Ｒ５）・〔Ｒ６Ｒ７／（Ｒ
６＋Ｒ７）〕・（１／Ｒ１＋１／Ｒ２）、 Ｂ１＝（１／Ｒ３）・（１／Ｃ１＋１／Ｃ２）
、 Ｂ２＝１／（Ｃ１Ｃ２Ｒ２Ｒ３）であり、かつ
、 〔（Ｒ５／Ｒ４）・（１／Ｒ３）―（１／Ｒ１
）〕・（Ｃ１＋Ｃ２）＝｛〔（Ｒ６Ｒ７）／（Ｒ
６＋Ｒ７）〕・〔１／（Ｒ１Ｒ２Ｒ３）〕｝・｛
（Ｒ１＋Ｒ２）・（Ｃ１＋Ｃ２）＋Ｃ２Ｒ３｝＋
Ｃ１／Ｒ２、 そして、前記両式(1)(2)におけるＨ＝Ｈ″の関
係とＳの係数とがそれぞれ一致するように前記容
量および抵抗値を選定していることを特徴とする
アクテイブフイルタ回路。[Claims for utility model registration] Input voltage is Vi, output voltage is Vo, gain is H,
When the angular frequency expressed by jω is S, the cutoff frequency is ωc, the frequency of the transmission zero point is ωp, and the sharpness is Q, the transfer function Vo/Vi is VO/Vi=H・S 2 +ωP 2 S 2 +(ωC/
Q) S+ωC 2 ...(1) An active filter circuit that realizes the characteristics expressed by A first resistor, a series circuit of a second resistor and a first capacitor are connected in parallel between the input terminal, and a fourth resistor is connected between the input terminal and the second input section of the operational amplifier.
A resistor is connected, a fifth resistor is connected between the second input part and the ground, and a series circuit of the third resistor and the sixth resistor is connected between the output part of the operational amplifier and the first input part. A second capacitor is connected between the connection between the second resistor and the first capacitor and the connection between the third and sixth resistors, and the connection between the third and sixth resistors is connected to ground. A seventh resistor is connected between the resistors, and the resistance values of the first to seventh resistors are respectively R.
1 to R7 , and the capacitances of the first and second capacitors are C1 and C2 , respectively, the transfer function Vo/Vi of the active filter circuit is expressed by the following equation, VO/Vi=H''・S 2 +A 1 /(A 2 A 3 )
S 2 +B 1 S+B 2 …(2) However, H″={[R 5 /(R 4 +R 5 )]・[(R 6
+ R7 )/ R7 ]-[ R4 /( R4 + R5 )]・
R6・(1/ R1 + 1 / R2 )}, A1 =1/ R3 - R4 /( R5R1 )-( R4
R 6 R 7 )/[R 5・(R 6 +R 7 )・R 1 R 3
], A 2 = 1/(C 1 C 2 R 2 ), A 3 = 1-(R 4 /R 5 )・[R 6 R 7 /(R
6 +R 7 )]・(1/R 1 +1/R 2 ), B 1 =(1/R 3 )・(1/C 1 +1/C 2 )
, B 2 =1/(C 1 C 2 R 2 R 3 ), and [(R 5 /R 4 )・(1/R 3 )−(1/R 1
)]・(C 1 +C 2 )={[(R 6 R 7 )/(R
6 +R 7 )]・[1/(R 1 R 2 R 3 )]}・{
(R 1 +R 2 )・(C 1 +C 2 )+C 2 R 3 }+
C 1 /R 2 , and the capacitance and resistance values are selected so that the relationship H=H'' in both equations (1) and (2) and the coefficient of S match, respectively. Active filter circuit.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP1987148522U JPH0619216Y2 (en) | 1987-09-28 | 1987-09-28 | Active filter circuit |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP1987148522U JPH0619216Y2 (en) | 1987-09-28 | 1987-09-28 | Active filter circuit |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS6452316U true JPS6452316U (en) | 1989-03-31 |
| JPH0619216Y2 JPH0619216Y2 (en) | 1994-05-18 |
Family
ID=31419917
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP1987148522U Expired - Lifetime JPH0619216Y2 (en) | 1987-09-28 | 1987-09-28 | Active filter circuit |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH0619216Y2 (en) |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5753129A (en) * | 1980-09-16 | 1982-03-30 | Toshiba Corp | Active filter |
-
1987
- 1987-09-28 JP JP1987148522U patent/JPH0619216Y2/en not_active Expired - Lifetime
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5753129A (en) * | 1980-09-16 | 1982-03-30 | Toshiba Corp | Active filter |
Also Published As
| Publication number | Publication date |
|---|---|
| JPH0619216Y2 (en) | 1994-05-18 |
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