Datasheet

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H
d
(f) +
ȧ
ȧ
ȡ
Ȣ
K
–
ǒ
f
FSF x fc
Ǔ
2
)
1
Q
jf
FSF x fc
) 1
ȧ
ȧ
ȣ
Ȥ
x
ȧ
ȡ
Ȣ
Rt
2R4 ) Rt
1 )
j2πfR4RtC3
2R4 ) Rt
ȧ
ȣ
Ȥ
Where K +
R2
R1
(2)
FSF x fc +
1
2π 2 x R2R3C1C2
Ǹ
and Q +
2 x R2R3C1C2
Ǹ
R3C1 ) R2C1 ) KR3C1
(3)
FSF + Re
2
)
|
Im
|
2
Ǹ
and Q +
Re
2
)
|
Im
|
2
Ǹ
2Re
(4)
FSF x fc +
1
2πRC 2 x mn
Ǹ
and Q +
2 x mn
Ǹ
1 ) m
(
1 ) K
)
(5)
THS4140
THS4141
SLOS320F – MAY 2000 – REVISED JANUARY 2006
APPLICATION INFORMATION (continued)
The transfer function for this filter circuit is:
K sets the pass band gain, fc is the cutoff frequency for the filter, FSF is a frequency-scaling factor, and Q is the
quality factor.
Where Re is the real part, and Im is the imaginary part of the complex pole pair. Setting R2 = R, R3 = mR,
C1 = C, and C2 = nC results in:
Start by determining the ratios, m and n, required for the gain and Q of the filter type being designed, then select
C and calculate R for the desired fc.
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