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lumped impedance matching

# lumped impedance matching - Lumped Element Matching...

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Lumped Element Matching Networks

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Z S Z L Stability Gain Noise Figure Impedance Matching (VSWR) Stability Noise Figure Gain ACPR = F(Z S , Z L )
Z L Z 0 Z 0 Z L Z 0 jX series jX shunt Z L = jX shunt //(jX series +Z 0 ) Z L = a+jb a=Re[jX shunt //(jX series +Z 0 )] b=Im[jX shunt //(jX series +Z 0 )]

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Series L Shunt L Series C Shunt C Even points on the constant resistance circle have same resistance Even points on the constant conductance circle have same conductance Z 0 jX Z 0 Z 1 Re(Z 1 )= Re(Z 0 )
Example Source Z L =10 - j10 Ω Design a lumped element matching networks to match a 50 Ω source to a load impedance of Z L = 10 - j 10 Ω at 500 MHz. LC Matching Network Normalize Z L : (10 - j10)/50 = 0.2 - 0.2j Always follow the constant resistance or conductance circles 50 Ω

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We have 2 solutions Solution 1: paths 1 and 2 Solution 2: paths 3 and 4 Z L Z 0
Z L =10-j10 L C 50 Ω Solution 2: path 3 and 4 Paths 3: Shunt Capacitor Paths 4: Series Inductor Path 3 Path 4

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C 50 Ω Change in susceptance ( Δ B)= -2j-0 Change in susceptance comes from adding a shunt capacitor 0 B CZ ω Δ = Y 0 Y 1 6 2 2 500 10 50 C π = 12.73 C pF =
Z L =10-j10 L C 50 Ω Change in reactance ( Δ X)= -0.2j-(-0.4j)=0.2j Change in reactance comes from adding

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lumped impedance matching - Lumped Element Matching...

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