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AN3984 Datasheet(PDF) 11 Page - STMicroelectronics

Part # AN3984
Description  The purpose of this document is to provide a tool to calculate
PDF  46 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN3984 Datasheet(HTML) 11 Page - STMicroelectronics

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AN3984
Second-order filter design
Doc ID 022240 Rev 1
11/46
The coefficients in the APWorkbench are consequently calculated as follows:
Equation 21
4.2.2
Peak filter - positive gain (boost)
The boost value is calculated with the following equation:
Equation 22
The filter coefficient can be calculated as follows:
Equation 23
CutValue
W
Q
K
b
t
Coefficien
CutValue
W
K
Gain
Q
t a
Coefficien
CutValue
W
a
t
Coefficien
CutValue
W
Q
K
t b
Coefficien
CutValue
W
b
t
Coefficien
+
+
⋅
=
+
⋅
−
−
=
−
=
+
−
=
−
=
1
2
1
2
1
1
2
)
1
(
1
2
0
2
1
2
1
W
Q
K
BoostValue
+
+
= 1
BoostValue
W
Q
Gain
K
b
BoostValue
W
b
BoostValue
W
Q
Gain
K
b
BoostValue
W
Q
K
a
BoostValue
W
Q
Gain
K
a
a
)
1
(
1
2
)
1
(
2
1
)
1
(
1
2
1
0
2
1
0
+
⋅
−
=
−
⋅
=
+
⋅
+
⋅
=
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
+
−
=
+
⋅
+
=
=



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