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Micrel
MICRF211
Freq (MHz)
390.0
C3 (pF)
1.5
L2(nH)
47
Z device ( ? )
22.5 – j198.5
Figure 4: device’s input impedance, Z = 18.6 – j174.2 ?
Second, we plot the shunt inductor (39nH) and the
418.0
1.5
43
21.4 – j186.1
series
capacitor
(1.5pF)
for the desired
input
433.92
1.5
39
18.6 – j174.2
impedance (Figure 5). We can see the matching
leading to the center of the Smith Chart or close to
Table 4: matching values for the most used frequencies
For the frequency of 433.92MHz, the input impedance
is Z = 18.6 – j174.2 ? , then the matching components
are calculated by,
Equivalent parallel = B = 1/Z = 0.606 + j5.68 msiemens
50 ? .
Rp = 1 / Re (B);
Rp = 1.65k ? ;
Xp = 176.2 ?
Xp = 1 / Im (B)
Q = SQRT (Rp/50 + 1)
Q = 5.831
Xm = Rp / Q
Xm = 282.98 ?
Resonance Method For L-shape Matching Network
Lc = Xp / (2×Pi×f);
L2 = (Lc×Lp) / (Lc + Lp);
Lp = Xm / (2×Pi×f)
C3 = 1 / (2×Pi×f×Xm)
L2 = 39.8nH
C3 = 1.3pF
Doing the same calculation example with the Smith
Chart, it would appear as follows,
First, we plot the input impedance of the device,
(Z = 18.6 – j174.2) ? @ 433.92MHz.(Figure 4).
Figure 5. Plotting the Shunt Inductor and Series
Capacitor.
March 2007
9
M9999-030107
(408) 944-0800
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