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LMV771 датащи(PDF) 15 Page - National Semiconductor (TI)

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номер детали LMV771
подробное описание детали  Single/Dual/Quad, Low Offset, Low Noise, RRO Operational Amplifiers
PDF  21 Pages
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производитель  NSC [National Semiconductor (TI)]
домашняя страница  http://www.national.com
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LMV771 датащи(HTML) 15 Page - National Semiconductor (TI)

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Application Note (Continued)
HIGH PASS FILTER
In a similar approach, one can derive the transfer function of
a high pass filter. A typical first order high pass filter is shown
below:
Writing the KCL for this circuit :
(V
1 denotes the voltage between C and R1)
(12)
(13)
Solving these two equations to find the transfer function and
using:
(high frequency gain)
and
Which results:
(14)
Looking at the transfer function, it is clear that when f/f
O is
small, the capacitor is open and hence no signal is getting in
to the amplifier. As the frequency increases the amplifier
starts operating. Atf=f
O the capacitor behaves like a short
circuit and the amplifier will have a constant, high frequency,
gain of H
O. The bode plot of the transfer function follows:
BAND PASS FILTER
Combining a low pass filter and a high pass filter will gener-
ate a band pass filter. In this network the input impedance
forms the high pass filter while the feedback impedance
forms the low pass filter. Choosing the corner frequencies so
that f
1 < f2, then all the frequencies in between, f1
≤ f ≤ f
2, will
pass through the filter while frequencies below f
1 and above
f
2 will be cut off.
The transfer function can be easily calculated using the
same methodology as before.
(15)
Where
The transfer function is presented in the following figure.
20039654
FIGURE 5.
20039658
FIGURE 6.
20039660
FIGURE 7.
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