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AN3984 Datasheet(PDF) 14 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) 14 Page - STMicroelectronics

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Second-order filter design
AN3984
14/46
Doc ID 022240 Rev 1
4.5
All-pass filter
Equation 29 allows calculating the constant
α.
The coefficients for an APF can be calculated as follows:
Equation 31
The coefficients to load in APWorkbench can be calculated using Equation 11.
4.6
Band-pass filter
Equation 29 allows calculating the constant
α while Equation 32 is used to calculate the
normalized gain.
Equation 32
The coefficients for a BPF can be calculated as follows(b):
Equation 33
The coefficients to load in APWorkbench can be calculated using Equation 11.
α
ϑ
α
α
ϑ
α
+
=
=
⋅
−
=
−
=
−
=
⋅
−
=
+
=
1
cos
2
1
1
cos
2
1
2
1
1
0
2
1
0
b
a
b
b
a
a
a
c
c
b.
α is defined in Equation 29, ϑc is defined in Equation 12.
⎟
⎠
⎞
⎜
⎝
⎛
=
20
10
dB
Gain
NormGain
NormGain
b
b
b
NormGain
b
a
a
a
c
⋅
−
=
−
=
=
⋅
=
−
=
⋅
−
=
+
=
α
α
α
ϑ
α
0
2
1
0
2
1
0
0
1
cos
2
1



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