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Performance Regions

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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  1. Performance Regions CK Cheng CSE Dept. UCSD

  2. Attenuation Curves

  3. Performance Region

  4. Lump Element Region

  5. 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

  6. RC Line Termination

  7. RC Line Termination

  8. RC Region • RC network has no resonance (monotonic changes) • Elmore delay is derived from the concept of moments.

  9. LC Region (R < ⍵L) • Watch out the wave phenomenon • There are reflection and resonance • Add terminators to dissipate the oscillation

  10. LC Line: Characteristic Imp.

  11. LC Line: Characteristic Imp.

  12. LC Line: TDR steps

  13. LC Line: TDR Response

  14. LC Line: TDR Response

  15. LC Line: Propagation Coefficient

  16. LC Line: Resonance

  17. LC Line: H Trajectories

  18. Terminations

  19. LC Line: Step Response

  20. Skin Effect: Characteristic Imp.

  21. Skin Effect: TDR Response

  22. Skin Effect: Propagation Coefficient

  23. Skin Effect: Step Responses vs Termination Styles

  24. Skin Effect:Step Response

  25. Dielectric Loss: Characteristic Imp.

  26. Dielectric Loss:TDR

  27. Dielectric Loss: Propagation Coeffcient

  28. Dielectric Loss: Step Response

  29. Dielectric Loss: Step Response

  30. Response for Belden coaxial cable

  31. Eye Quality for Belden coaxial cable

  32. Length Scaling

  33. Length Scaling

  34. Length Scaling and Skin Effect

  35. Length and Width Scaling

  36. Length Scaling

  37. Distortion vs Length

  38. Dispersion Penalty

  39. Equalization

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