Note that these three functions have identical denominators, which implies that they can
be transformed from the same generic first-order transfer function. Specifically, consider
a generic first-order sampled-data transfer function given by the following expression:
Hz
czc
zd
(
)
=
±
−
10
0
(4.2)
First, to realize a first-order low-pass filter using the circuit in Figure 4.2, the
capacitors should have the following relationships:
C
c
d
CC
d
d
C
1
0
0
04
0
0
0
1
==
−
,and(4.3)
Second ...
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