USD EEE 194RF - Load Impedance To Complex Conjugate

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EEE 194RF_L21 1General 2 Element ApproachEEE 194RF_L21 2Load Impedance To Complex Conjugate Source Zs= Zs* = 50 ΩEEE 194RF_L21 3Art of Designing Matching NetworksEEE 194RF_L21 4More Complicated Networks• Three-element Pi and T networks permit the matching of almost any load conditions• Added element has the advantage of more flexibility in the design process (fine tuning)• Provides quality factor design (see Ex. 8.4)EEE 194RF_L21 5Quality Factor• Resonance effect has implications on design of matching network.• Loaded Quality Factor: QL= fO/BW• If we know the Quality Factor Q, then we can find BW• Estimate Q of matching network using Nodal Quality Factor Qn• At each circuit node can find Qn= |Xs|/Rsor Qn= |BP|/GPand • QL= Qn/2 true for any L-type Matching NetworkEEE 194RF_L21 6Nodal Quality FactorsQn= |x|/r =2|Γi| / [(1- Γr)2+ Γi2EEE 194RF_L21 7Matching Network Design Using Quality FactorEEE 194RF_L21 8T-Type Matching NetworksEEE 194RF_L21 9Pi-Type Matching NetworkEEE 194RF_L21 10Microstripline Matching Network• Distributed microstip lines and lumped capacitors• less susceptible to parasitics• easy to tune• efficient PCB implementation• small size for high frequencyEEE 194RF_L21 11Microstripline Matching DesignEEE 194RF_L21 12Two Topologies for Single-Stub TunersEEE 194RF_L21 13Balanced Stubs• Unbalanced stubs often replaced by balanced stubs1222SSBlltantanπλπλ−=12122SSBlltantanπλπλ−=Open-Circuit Stub Short-Circuit StublSis the unbalance stub length and lSBis the balanced stub length.Balanced lengths can also be found graphically using the Smith ChartEEE 194RF_L21 14Balanced Stub ExampleSingle Stub Smith ChartBalanced Stub CircuitEEE 194RF_L21 15Double Stub Tuners• Forbidden region where yDis inside g = 2


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USD EEE 194RF - Load Impedance To Complex Conjugate

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