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bilateral_design

bilateral_design - class notes M Rodwell copyrighted 2009...

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class notes, M. Rodwell, copyrighted 2009 ECE145a / 218a Bilateral Tuned Amplifier Design ark Rodwell Mark Rodwell University of California, Santa Barbara [email protected] 805-893-3244, 805-893-3262 fax
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class notes, M. Rodwell, copyrighted 2009 Stability . possible all for 1 if stable nally Unconditio L in Γ < Γ . possible all for 1 if stable nally unconditio : ly Equivalent S out Γ < Γ 2 21 12 22 11 2 11 2 11 1 ) 1 where 1, factor K stability Rollet the if stable nally unconditio is port - 2 A S S S S S - S - K + = > 1 2 2 1 21 12 1. 2a) and 2 S S S S S S < 2 1 2 2 1 2 1 2 1 1 nd 21 12 22 11 1 2b) where positive, be B measure stability that the is condition 2 e alternativ An ) S S S S S - S - B + = 21 12 22 11 11 11 1
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class notes, M. Rodwell, copyrighted 2009 Potentially Unstable Amplifier circle stability Source plane - Γ circle stability Load plane - Γ p S L 1 = Γ ut 0 11 < S out 0 22 < S 1 = Γ in s. frequencie all at must test frequency; specific one at a test is This
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class notes, M. Rodwell, copyrighted 2009 Unconditionally stable Amplifier circle stability Source plane - Γ circle stability Load plane - Γ p S L 1 = Γ out 0 11 < S 0 22 < S 1 = Γ in s. frequencie all at must test frequency; specific one at a test is This
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class notes, M. Rodwell, copyrighted 2009 Why Might MAG Not Exist ? circle stability Load circle, stability load the within placing by then unstable, y potentiall is network the If Γ L 0 11 < S . 1 force we > Γ out . resistance input negative has then device The plane - L Γ L Γ . n oscillatio cause then will impedance source of choice e Appropriat gain, possible highest the obtain to and adjust we If L S Γ Γ . on) (oscillati gain infinite obtain instead will we good. * not * is This . infinite is gain available maximum The
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class notes, M. Rodwell, copyrighted 2009 Computing Maximum Available Gain d eed ow e * * and iff max T AVG load P P P P in AVA G P P P P G AVG in load AVA = ⎯→ = = = and need now we in s out L Γ = Γ Γ = Γ solve usly simultaneo must we * 11 12 21 22 * 22 12 21 11 1 and 1 L S S out S L L in S S S S S S S S Γ = Γ Γ + = Γ Γ = Γ Γ + = Γ 2 2 2 1 1 into substitute then and L s Γ Γ 2 22 21 2 T 1 1 L s in S S G Γ Γ Γ = shown. be not will and long, are ns calculatio The
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class notes, M. Rodwell, copyrighted 2009 Maximum Available Gain ( ) 1 2 21 max = K K S G 12 S factor). stability (Rollet 2 1 where 21 12 2 21 12 22 11 2 11 2 11 S S S S S S S - S - K + = d e network, stable nally unconditio an for defined only is that Note max G 0. and 1 i.e. 1 > > B K
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class notes, M. Rodwell, copyrighted 2009 Stabilization: if device is potentially unstable i b l ithi ti it i ddi plane - S Γ region. stable within lie to constains shown as resistance series Adding gen stab Z R
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class notes, M. Rodwell, copyrighted 2009
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bilateral_design - class notes M Rodwell copyrighted 2009...

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