JPH02833U - - Google Patents
Info
- Publication number
- JPH02833U JPH02833U JP7753088U JP7753088U JPH02833U JP H02833 U JPH02833 U JP H02833U JP 7753088 U JP7753088 U JP 7753088U JP 7753088 U JP7753088 U JP 7753088U JP H02833 U JPH02833 U JP H02833U
- Authority
- JP
- Japan
- Prior art keywords
- capacitor
- operational amplifier
- resistor
- output
- input
- 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.)
- Pending
Links
- 239000003990 capacitor Substances 0.000 claims description 12
- 239000008186 active pharmaceutical agent Substances 0.000 claims 1
- 238000010586 diagram Methods 0.000 description 2
- 239000002131 composite material Substances 0.000 description 1
Landscapes
- Networks Using Active Elements (AREA)
Description
第１図は、この考案の一実施例に係るアクテイ
ブフイルタ回路を示す回路図である。第２図は、
２次ハイパスフイルタ特性と２次ノツチフイルタ
特性の合成特性を持つ従来のアクテイブフイルタ
回路を示す回路図である。
４……実施例に係るアクテイブフイルタ回路、
４１……入力端、４２……出力端、５０……演算
増幅器、５１……第１入力部、５２……第２入力
部、５３……出力部、６１〜６４……コンデンサ
、７１〜７７……抵抗器。
FIG. 1 is a circuit diagram showing an active filter circuit according to an embodiment of this invention. Figure 2 shows
FIG. 2 is a circuit diagram showing a conventional active filter circuit having a composite characteristic of a secondary high-pass filter characteristic and a secondary notch filter characteristic. 4... Active filter circuit according to the embodiment,
41... Input end, 42... Output end, 50... Operational amplifier, 51... First input section, 52... Second input section, 53... Output section, 61-64... Capacitor, 71-77 ……Resistor.
Claims (1)
伝達関数Ｖ０／Ｖｉが、 但し、ω１は２次ハイパスフイルタのカツ
トオフ角周波数、Ｑ１は２次ハイパスフイルタの
尖鋭度、ω２は２次ノツチフイルタの共振点、Ｑ
２は２次ノツチフイルタの尖鋭度、Ｓはｊωで表
される角周波数、 で表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５１、第２入力部５２および出力部
５３を有する演算増幅器５０を用い、入力端４１
と演算増幅器５０の第１入力部５１間に、第１の
コンデンサ６１、第２のコンデンサ６２、第３の
コンデンサ６３および第４のコンデンサ６４をこ
の順で直列接続したものを接続し、第１のコンデ
ンサ６１と第２のコンデンサ６２との接続部と演
算増幅器５０の出力部５３間に第１の抵抗器７１
を接続し、第２のコンデンサ６２と第３のコンデ
ンサ６３との接続部とアース間、演算増幅器５０
の第１入力部５１間および第２入力部５２間に第
２の抵抗器７２、第５の抵抗器７５および第７の
抵抗器７７をそれぞれ接続し、第３のコンデンサ
６３と第４のコンデンサ６４との接続部とアース
間および演算増幅器５０の出力部５３間に第４の
抵抗器７４および第３の抵抗器７３をそれぞれ接
続し、演算増幅器５０の第２入力部５２と出力部
５３間に第６の抵抗器７６を接続し、そして演算
増幅器５０の出力部５３を出力端４２に接続して
成り、 前記第１ないし第４のコンデンサ６１〜６４の
容量をそれぞれＣ１〜Ｃ４とし、第１ないし第７
の抵抗器７〜７７のコンダクタンスをそれぞれｇ
１〜ｇ７とした場合、当該アクテイブフイルタ回
路の伝達関数Ｖ０／Ｖｉは次式で表され、 Ｖ０Ｖｉ＝Ｓ４＋ＡＳ３＋ＢＳ２Ｓ４＋ＣＳ３＋
ＤＳ２＋ＥＳ＋Ｆ 但し、 Ａ＝ｇ５Ｃ４＋ｇ５Ｃ３−ｇ３ｇ７Ｃ３ｇ６−ｇ
４ｇ７Ｃ３ｇ６ Ｂ＝ｇ３ｇ５Ｃ３Ｃ４＋ｇ４ｇ５Ｃ３Ｃ４ Ｃ＝ｇ５Ｃ４＋ｇ４Ｃ３＋ｇ５Ｃ３＋ｇ２Ｃ２ ＋ｇ４Ｃ２＋ｇ２Ｃ１＋ｇ４Ｃ１−ｇ３ｇ７Ｃ
３ｇ６ Ｄ＝ｇ３ｇ５Ｃ３Ｃ４＋ｇ４ｇ５Ｃ３Ｃ４＋ｇ２
ｇ５Ｃ２Ｃ４＋ｇ４ｇ５Ｃ２Ｃ４ ＋ｇ２ｇ４Ｃ２Ｃ３＋ｇ２ｇ５Ｃ２Ｃ３＋ｇ４
ｇ５Ｃ２Ｃ３＋ｇ４ｇ７Ｃ２Ｃ３ ＋ｇ２ｇ５Ｃ１Ｃ４＋ｇ４ｇ５Ｃ１Ｃ４＋ｇ１
ｇ４Ｃ１Ｃ３＋ｇ２ｇ４Ｃ１Ｃ３ ＋ｇ２ｇ５Ｃ１Ｃ３＋ｇ４ｇ５Ｃ１Ｃ３＋ｇ４
ｇ７Ｃ１Ｃ３＋ｇ１ｇ２Ｃ１Ｃ２ ＋ｇ１ｇ４Ｃ１Ｃ２＋ｇ１ｇ４ｇ７Ｃ１Ｃ３ｇ
６−ｇ２ｇ３ｇ７Ｃ１Ｃ３ｇ６−ｇ２ｇ３ｇ７Ｃ
２Ｃ３ｇ６ Ｅ＝ｇ２ｇ３ｇ５Ｃ２Ｃ３Ｃ４＋ｇ２ｇ４ｇ５Ｃ
２Ｃ３Ｃ４＋ｇ２ｇ３ｇ５Ｃ１Ｃ３Ｃ４ ＋ｇ２ｇ４ｇ５Ｃ１Ｃ３Ｃ４＋ｇ１ｇ２ｇ５Ｃ
１Ｃ２Ｃ４＋ｇ１ｇ４ｇ５Ｃ１Ｃ２Ｃ１ ＋ｇ１ｇ２ｇ４Ｃ１Ｃ２Ｃ３＋ｇ１ｇ２ｇ５Ｃ
１Ｃ２Ｃ３＋ｇ１ｇ４ｇ５Ｃ１Ｃ２Ｃ３ ＋ｇ１ｇ４ｇ７Ｃ１Ｃ２Ｃ３−ｇ１ｇ２ｇ３ｇ
７Ｃ１Ｃ２Ｃ３Ｃ６ Ｆ＝ｇ１ｇ２ｇ３ｇ５Ｃ１Ｃ２Ｃ３Ｃ４＋ｇ１ｇ
２ｇ４ｇ５Ｃ１Ｃ２Ｃ３Ｃ４ そして、Ａ＝０、Ｂ＝ω２ ２、 Ｃ＝（ω１／Ｑ１）＋（ω２／Ｑ２）、 Ｄ＝ω１ ２＋ω２ ２＋（ω１ω２／Ｑ１Ｑ２）、 Ｅ＝（ω１ω２ ２／Ｑ１）＋（ω１ ２ω２／Ｑ２
） およびＦ＝ω１ ２ω２ ２を満足するように上記容
量Ｃ１〜Ｃ４およびコンダクタンスｇ１〜ｇ７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] When the input voltage is V i and the output voltage is V 0 ,
The transfer function V 0 /V i is, where ω 1 is the cutoff angular frequency of the secondary high-pass filter, Q 1 is the sharpness of the secondary high-pass filter, ω 2 is the resonance point of the secondary notch filter, and Q
2 is the sharpness of the secondary notch filter, S is the angular frequency represented by jω, and is an active filter circuit that realizes the characteristics expressed as follows. Using an operational amplifier 50 having an input terminal 41
A first capacitor 61, a second capacitor 62, a third capacitor 63, and a fourth capacitor 64 connected in series in this order are connected between the first input section 51 of the operational amplifier 50 and the first input section 51 of the operational amplifier 50. A first resistor 71 is connected between the connection between the capacitor 61 and the second capacitor 62 and the output section 53 of the operational amplifier 50.
between the connection between the second capacitor 62 and the third capacitor 63 and the ground, and the operational amplifier 50
A second resistor 72, a fifth resistor 75, and a seventh resistor 77 are connected between the first input section 51 and the second input section 52, respectively, and a third capacitor 63 and a fourth capacitor are connected. A fourth resistor 74 and a third resistor 73 are respectively connected between the connection part with 64 and the ground and between the output part 53 of the operational amplifier 50, and between the second input part 52 and the output part 53 of the operational amplifier 50. A sixth resistor 76 is connected to the output terminal 42, and the output section 53 of the operational amplifier 50 is connected to the output terminal 42.The capacitances of the first to fourth capacitors 61 to 64 are respectively C1 to C4 . , 1st to 7th
The conductance of resistors 7 to 77 is g
1 to g 7 , the transfer function V 0 /V i of the active filter circuit is expressed by the following formula, V 0 V i =S 4 +AS 3 +BS 2 S 4 +CS 3 +
DS 2 +ES+F However, A=g 5 C 4 +g 5 C 3 -g 3 g 7 C 3 g 6 -g
4 g 7 C 3 g 6 B=g 3 g 5 C 3 C 4 +g 4 g 5 C 3 C 4 C=g 5 C 4 +g 4 C 3 +g 5 C 3 +g 2 C 2 +g 4 C 2 +g 2 C 1 +g 4 C 1 -g 3 g 7 C
3 g 6 D=g 3 g 5 C 3 C 4 +g 4 g 5 C 3 C 4 +g 2
g 5 C 2 C 4 + g 4 g 5 C 2 C 4 +g 2 g 4 C 2 C 3 +g 2 g 5 C 2 C 3 +g 4
g 5 C 2 C 3 +g 4 g 7 C 2 C 3 +g 2 g 5 C 1 C 4 +g 4 g 5 C 1 C 4 +g 1
g 4 C 1 C 3 +g 2 g 4 C 1 C 3 +g 2 g 5 C 1 C 3 +g 4 g 5 C 1 C 3 +g 4
g 7 C 1 C 3 +g 1 g 2 C 1 C 2 +g 1 g 4 C 1 C 2 +g 1 g 4 g 7 C 1 C 3 g
6 -g 2 g 3 g 7 C 1 C 3 g 6 -g 2 g 3 g 7 C
2 C 3 g 6 E=g 2 g 3 g 5 C 2 C 3 C 4 +g 2 g 4 g 5 C
2 C 3 C 4 +g 2 g 3 g 5 C 1 C 3 C 4 +g 2 g 4 g 5 C 1 C 3 C 4 +g 1 g 2 g 5 C
1 C 2 C 4 +g 1 g 4 g 5 C 1 C 2 C 1 +g 1 g 2 g 4 C 1 C 2 C 3 +g 1 g 2 g 5 C
1 C 2 C 3 +g 1 g 4 g 5 C 1 C 2 C 3 +g 1 g 4 g 7 C 1 C 2 C 3 -g 1 g 2 g 3 g
7 C 1 C 2 C 3 C 6 F=g 1 g 2 g 3 g 5 C 1 C 2 C 3 C 4 +g 1 g
2 g 4 g 5 C 1 C 2 C 3 C 4 and A=0, B=ω 2 2 , C=(ω 1 /Q 1 )+(ω 2 /Q 2 ), D=ω 1 2 +ω 2 2 + (ω 1 ω 2 /Q 1 Q 2 ), E=(ω 1 ω 2 2 /Q 1 )+(ω 1 2 ω 2 /Q 2
) and F=ω 1 2 ω 2 2. An active filter circuit characterized in that the capacitances C 1 to C 4 and the conductances g 1 to g 7 are selected so as to satisfy F=ω 1 2 ω 2 2.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP7753088U JPH02833U (en) | 1988-06-10 | 1988-06-10 |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP7753088U JPH02833U (en) | 1988-06-10 | 1988-06-10 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPH02833U true JPH02833U (en) | 1990-01-05 |
Family
ID=31302509
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP7753088U Pending JPH02833U (en) | 1988-06-10 | 1988-06-10 |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH02833U (en) |
-
1988
- 1988-06-10 JP JP7753088U patent/JPH02833U/ja active Pending
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