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AN3984 Datasheet(PDF) 13 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) 13 Page - STMicroelectronics

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AN3984
Second-order filter design
Doc ID 022240 Rev 1
13/46
4.3.2
High-shelf filter
The coefficients for an HSF can be calculated as follows:
Equation 28
The coefficient to load in APWorkbench to program a HSF can be computed by applying the
formulas shown in Equation 11.
4.4
Notch filter
The first step is to define the constant
α(a):
Equation 29
The coefficients for a notch filter can be calculated as follows:
Equation 30
The coefficients to load in APWorkbench can be calculated using Equation 11.
() (
)
() (
)
() (
)
() (
)
()
() ()
()
() (
)
()
β
ϑ
ϑ
β
ϑ
β
ϑ
ϑ
β
ϑ
−
⋅
−
+
+
⋅
=
⋅
+
−
−
⋅
⋅
−
=
+
⋅
−
+
+
⋅
=
−
⋅
−
−
+
=
⋅
+
−
−
⋅
=
+
⋅
−
−
+
=
c
c
c
c
c
c
Gain
Gain
Gain
b
Gain
Gain
Gain
b
Gain
Gain
Gain
b
Gain
Gain
a
Gain
Gain
a
Gain
Gain
a
cos
1
1
cos
1
1
2
cos
1
1
cos
1
1
cos
1
1
2
cos
1
1
2
1
0
2
1
0
a.
ϑc is defined in Equation 12
()
Q
c
⋅
=
2
sin
ϑ
α
1
cos
2
1
1
cos
2
1
2
1
0
2
1
0
=
⋅
−
=
=
−
=
⋅
−
=
+
=
b
b
b
a
a
a
c
ϑ
α
ϑ
α



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