598
Practical MATLAB
® Applications for Engineers
where
Z
s
s
s
s
s
s
ϭ
ϩ
ϩ
ϩ
2
4
6
3
4
6
2
2
2
Let
Za
s
s
s
ϭ
ϩ
2
4
6
2
2
and
Zb
s
s
s
ϭ
ϩ
3
4
6
2
where Z = Za + Zb.
Clearly, Za and Zb are impedances in series. Its admittances are
Ya
s
s
s
s
s
s
s
s
ϭ
ϩ ϭ
ϩ
ϭ ϩ
4
6
2
4
2
6
2
2
3
2
2
2
2
2
and
Ya
s
Za
s
ϭ ϩ
ϭ
2
1
1
3
1
2
1
3
or
The impedance Za is implemented in terms of simple electrical elements in
Fig ure 6.22.
The admittance
Yb
s
s
s
s
s
s
s
s
ϭ
ϩ ϭ
ϩ
ϭ
ϩ
4
6
3
4
3
6
3
4
3
2
2
2
or
Zb ϭ
1
( 4 3 )
1
2
implemented in terms of electrical
s







 

 
elements in Figure 6.23.
FIGURE 6.22
Synthesis of Za.
R 1 = 1/2
L1 = 1/3
Za
CRC_47760_CH006.indd 598
CRC_47760_CH006.indd 598
7/23/2008 2:26:41 PM
7/23/2008 2:26:41 PM