598 Practical MATLAB® Applications for Engineers
whereZ
s
sss
ss2
46
3
46
2(^22)
Let
Za
s
ss
2
46
2(^2)
and
Zb
s
ss
3
(^462)
where Z = Za + Zb.
Clearly, Za and Zb are impedances in series. Its admittances are
Ya
ss
s
s
s
s
s s
46
2
4
2
6
2
2
(^23)
2
2
(^22)
and
Ya
s
2 Za s
1
1
3
1
2
1
3
orThe impedance Za is implemented in terms of simple electrical elements in
Fig ure 6.22.
The admittanceYb
ss
ss
ss
s s46
3
4
3
6
3
4
3
2
22orZb1
(4 3)
1
2
s implemented in terms of electrical
elements in Figure 6.23.FIGURE 6.22
Synthesis of Za.
Za R 1 = 1/2 L^1 = 1/3