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Performance Regions
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Explore the characteristics of RC and LC regions, analyzing their transfer functions, step responses, terminations, and effects like skin effect and dielectric loss. Learn how to optimize performance and manage resonance in these networks.
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Performance Regions
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Performance Regions CK Cheng CSE Dept. UCSD
RC Region Characteristic Impedance • Zc(⍵)=(R/(j⍵C))1/2 Transfer Function (matched terminator) • G(⍵)=exp(–(j⍵RC)1/2z) Step Response • InvF(1/j⍵ exp(-(j⍵RC)1/2z)=u(t) erfc(1/2 kt-1/2), where k=(RC)1/2z
RC Region • RC network has no resonance (monotonic changes) • Elmore delay is derived from the concept of moments.
LC Region (R < ⍵L) • Watch out the wave phenomenon • There are reflection and resonance • Add terminators to dissipate the oscillation
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