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AN3984 Datasheet(PDF) 10 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) 10 Page - STMicroelectronics

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Second-order filter design
AN3984
10/46
Doc ID 022240 Rev 1
4.2
Peak filters
The first step is the calculation of the constant gain obtained from the gain filter parameter
(GdB is expressed in dB).
Equation 18
The filter coefficients are different if the gain is positive or negative.
4.2.1
Peak filter - negative gain (cut)
The cut value is calculated with the following equation:
Equation 19
The filter coefficient can be calculated as follows:
Equation 20
)
115129254
.
0
exp(
⋅
=
dB
Gain
Gain
W
Gain
Q
K
CutValue
+
⎟
⎠
⎞
⎜
⎝
⎛
⋅
+
= 1
()
()
CutValue
W
Q
K
b
CutValue
W
b
CutValue
W
Q
K
b
CutValue
W
Gain
Q
a
CutValue
W
a
a
)
1
(
1
2
1
1
1
4
1
2
1
0
2
1
0
+
−
=
−
⋅
=
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
+
+
=
⎟
⎟
⎟
⎟
⎠
⎞
⎜
⎜
⎜
⎜
⎝
⎛
+
−
=
−
⋅
=
=



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