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Performance Regions

This study investigates the performance of lumped-elements and LC circuits, focusing on spectral content, characteristic impedance, and attenuation characteristics. By analyzing various termination styles, skin effects, dielectric losses, and resonance behaviors, this work provides detailed insights into the propagation coefficients and time-domain reflectometry (TDR) responses. The impact of scaling parameters including length, width, and distortion on performance metrics like eye quality in coaxial cables is also explored, making it a valuable resource for circuit design and optimization.

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Performance Regions

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  1. Performance Regions CK Cheng CSE Dept. UCSD

  2. Spectral Content (0,fknee) • fknee = 0.5/tr Hz • fedge= 0.35/tr Hz • tr= T bit width

  3. Attenuation Curves

  4. Performance Region

  5. Lumped-Element Region • H(w,t)=e-gamma(w)z+jwt • For lumped-element region |length gamma(w)|< delta, delta:1/4

  6. RC Line Termination

  7. RC Line Termination

  8. LC Region: Char. Impedance • Zc=[(jwL+RDC)/jwC]1/2 • =(L/C)1/2(1+RDC/jwL)1/2 • =Z0(1+1/jwT), T= 2L/RDC

  9. LC Region: Char. Impedance • Zc=(R+sL/sC)1/2=Z0(1+1/sT), T=2L/R • sL>>R • Zc(t)=Z0(1+t/T) • t<<T

  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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