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MICRF211 датащи(PDF) 9 Page - Micrel Semiconductor |
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MICRF211 датащи(HTML) 9 Page - Micrel Semiconductor |
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9 / 18 page ![]() Micrel MICRF211 March 2007 9 M9999-030107 (408) 944-0800 Freq (MHz) C3 (pF) L2(nH) Z device ( Ω) 390.0 1.5 47 22.5 – j198.5 418.0 1.5 43 21.4 – j186.1 433.92 1.5 39 18.6 – j174.2 Table 4: matching values for the most used frequencies For the frequency of 433.92MHz, the input impedance is Z = 18.6 – j174.2 Ω, then the matching components are calculated by, Equivalent parallel = B = 1/Z = 0.606 + j5.68 msiemens Rp = 1 / Re (B); Xp = 1 / Im (B) Rp = 1.65k Ω; Xp = 176.2 Ω Q = SQRT (Rp/50 + 1) Q = 5.831 Xm = Rp / Q Xm = 282.98 Ω Resonance Method For L-shape Matching Network Lc = Xp / (2×Pi×f); Lp = Xm / (2×Pi×f) L2 = (Lc×Lp) / (Lc + Lp); 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) Ω @ 433.92MHz.(Figure 4). Figure 4: device’s input impedance, Z = 18.6 – j174.2 Ω Second, we plot the shunt inductor (39nH) and the series capacitor (1.5pF) for the desired input impedance (Figure 5). We can see the matching leading to the center of the Smith Chart or close to 50 Ω. Figure 5. Plotting the Shunt Inductor and Series Capacitor. |
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