H =

1

=

V

V

-

=

-

1

jwC

+

-

C

dB

0

-20dB/dec

f (Hz)

|H|

LMV771, LMV772, LMV774

www.ti.com

SNOSA04F – MAY 2004 – REVISED SEPTEMBER 2010

Figure 8. Lowpass Filter Transfer Function

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:

Figure 9. Highpass FIlter

Writing the KCL for this circuit :

(14)

(15)

Solving these two equations to find the transfer function and using:

(16)

(high frequency gain)

and

Which results:

(17)

the transfer function of this high pass filter:

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17

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