JPS6438826U - - Google Patents
Info
- Publication number
- JPS6438826U JPS6438826U JP13367887U JP13367887U JPS6438826U JP S6438826 U JPS6438826 U JP S6438826U JP 13367887 U JP13367887 U JP 13367887U JP 13367887 U JP13367887 U JP 13367887U JP S6438826 U JPS6438826 U JP S6438826U
- Authority
- JP
- Japan
- Prior art keywords
- capacitor
- resistor
- operational amplifier
- output
- input section
- 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 10
- 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、
１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、６１〜６３……コンデンサ
、７１〜７６……抵抗器。
FIG. 1 is a circuit diagram showing an active filter circuit according to an embodiment of this invention. Figure 2 shows
1 is a circuit diagram showing a conventional active filter circuit having a composite characteristic of a primary high-pass filter characteristic and a secondary notch filter characteristic; FIG. 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, 61-63... Capacitor, 71-76 ……Resistor.
Claims (1)
伝達関数Ｖｏ／Ｖｉが、 ＶｏＶｉ＝ＳＳ＋ωａ・Ｓ２＋ωｏ２Ｓ２＋（ω
ｏ／Ｑ）Ｓ＋ωｏ２ 但し、ωａは１次ハイパスフイルタのカツトオ
フ角周波数、ωｏは２次ノツチフイルタの共振点
、Ｑは２次ノツチフイルタの尖鋭度、Ｓはｊωで
表わされる角周波数、 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および第
３のコンデンサ６３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
１の抵抗器７１、第４の抵抗器７４および第６の
抵抗器７６をそれぞれ接続し、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
間および演算増幅器５０の出力部５３間に第３の
抵抗器７３および第２の抵抗器７２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５の抵抗器７５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３のコンデンサ６１〜６３の
容量をそれぞれＣ１〜Ｃ３とし、第１ないし第６
の抵抗器７１〜７６のコンダクタンスをそれぞれ
ｇ１〜ｇ６とした場合、当該アクテイブフイルタ
回路の伝達関数Ｖｏ／Ｖｉは次式で表され、 ＶｏＶｉ＝Ｓ３＋Ｋ１Ｓ２＋Ｋ２ＳＳ３＋Ｋ３Ｓ
２＋Ｋ４Ｓ＋Ｋ５ 但し、 Ｋ１＝ｇ４Ｃ３＋ｇ４Ｃ２−ｇ２ｇ６＋ｇ３ｇ６
Ｃ２ｇ５ Ｋ２＝ｇ２ｇ４＋ｇ３ｇ４Ｃ２Ｃ３ Ｋ３＝ｇ１Ｃ１＋ｇ３Ｃ１＋ｇ３Ｃ２＋ｇ４Ｃ２
＋ｇ４Ｃ３−ｇ２ｇ６Ｃ２ｇ５ Ｋ４＝ｇ１ｇ３＋ｇ１ｇ４＋ｇ３ｇ４＋ｇ３ｇ６
Ｃ１Ｃ２＋ｇ２ｇ４＋ｇ３ｇ４Ｃ２Ｃ３ ＋ｇ１ｇ４＋ｇ３ｇ４Ｃ１Ｃ３−ｇ１ｇ２ｇ６
Ｃ１Ｃ２Ｃ５ Ｋ５＝ｇ１ｇ２ｇ４＋ｇ１ｇ３ｇ４Ｃ１Ｃ２Ｃ３ そして、Ｋ１＝Ｏ、Ｋ２＝ωｏ２、Ｋ３＝（ω
ｏ／Ｑ）＋ωａ、Ｋ４＝ωｏ２＋（ωａωｏ／Ｑ
）およびＫ５＝ωａωｏ２を満足するように上記
容量Ｃ１〜Ｃ３およびコンダクタンスｇ１〜ｇ６
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。[Scope of claim for utility model registration] When the input voltage is Vi and the output voltage is Vo,
The transfer function Vo/Vi is VoVi=SS+ωa・S 2 +ωo 2 S 2 +(ω
o/Q) S+ωo 2 However, ωa is the cutoff angular frequency of the first-order high-pass filter, ωo is the resonance point of the second-order notch filter, Q is the sharpness of the second-order notch filter, and S is the angular frequency expressed by jω. The active filter circuit realizes the characteristics, and uses an operational amplifier 50 having a first input section 51, a second input section 52 and an output section 53,
A first capacitor 61 , a second capacitor 62 , and a third capacitor 63 connected in series in this order are connected between the first input section 51 of the operational amplifier 50 and the first capacitor 61 and the second capacitor 63 connected in series. between the connection with the capacitor 62 and ground, the operational amplifier 50
A first resistor 71, a fourth resistor 74, and a sixth resistor 76 are connected between the first input section 51 and the second input section 52, respectively, and the second capacitor 62 and the third capacitor A third resistor 73 and a second resistor 72 are respectively connected between the connection part with 63 and ground and between the output part 53 of the operational amplifier 50, and between the second input part 52 of the operational amplifier 50 and the output part 53. A fifth resistor 75 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 third capacitors 61 to 63 are respectively C1 to C3 . , 1st to 6th
When the conductances of the resistors 71 to 76 are g 1 to g 6 , respectively, the transfer function Vo/Vi of the active filter circuit is expressed by the following formula, VoVi=S 3 +K 1 S 2 +K 2 SS 3 +K 3 S
2 +K 4 S+K 5 However, K 1 =g 4 C 3 +g 4 C 2 -g 2 g 6 +g 3 g 6
C 2 g 5 K 2 =g 2 g 4 +g 3 g 4 C 2 C 3 K 3 =g 1 C 1 +g 3 C 1 +g 3 C 2 +g 4 C 2
+g 4 C 3 -g 2 g 6 C 2 g 5 K 4 =g 1 g 3 +g 1 g 4 +g 3 g 4 +g 3 g 6
C 1 C 2 +g 2 g 4 +g 3 g 4 C 2 C 3 +g 1 g 4 +g 3 g 4 C 1 C 3 -g 1 g 2 g 6
C 1 C 2 C 5 K 5 = g 1 g 2 g 4 + g 1 g 3 g 4 C 1 C 2 C 3 and K 1 = O, K 2 = ωo 2 , K 3 = (ω
o/Q)+ωa, K 4 =ωo 2 +(ωaωo/Q
) and K 5 =ωaωo 2, the capacitances C 1 to C 3 and conductances g 1 to g 6 are
An active filter circuit characterized in that:
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP13367887U JPS6438826U (en) | 1987-08-31 | 1987-08-31 |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP13367887U JPS6438826U (en) | 1987-08-31 | 1987-08-31 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPS6438826U true JPS6438826U (en) | 1989-03-08 |
Family
ID=31391763
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP13367887U Pending JPS6438826U (en) | 1987-08-31 | 1987-08-31 |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS6438826U (en) |
-
1987
- 1987-08-31 JP JP13367887U patent/JPS6438826U/ja active Pending
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