16.4. High-Pass Filter Design

By replacing the resistors of a low-pass filter with capacitors, and its capacitors with resistors, a high-pass filter is created (See Fig. 16.23).
image
Figure 16.23 Low-pass to high-pass transition through components exchange.
To plot the gain response of a high-pass filter, mirror the gain response of a low-pass filter at the corner frequency, Ω = 1, thus replacing Ω with 1/Ω and S with 1/S in Eq. (16.1) (See Fig. 16.24).
The general transfer function of a high-pass filter is then:

A(s)=Ai(1+ais+bis2)

image (16.4)
with A being the ...

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