Advanced Signal Integrity For High-Speed Digital Designs

14

SYSTEM ANALYSIS USING RESPONSE SURFACE MODELING

14.1 Model Design Considerations

14.2 Case Study: 10-Gb/s Differential PCB Interface

14.3 RSM Construction by Least Squares Fitting

14.4 Measures of Fit

14.4.1 Residuals

14.4.2 Fit Coefficients

14.5 Significance Testing

14.5.1 Model Significance: The F-Test

14.5.2 Parameter Significance: Individual t-Tests

14.6 Confidence Intervals

14.7 Sensitivity Analysis and Design Optimization

14.8 Defect Rate Prediction Using Monte Carlo Simulation

14.9 Additional RSM Considerations

14.10 Summary

References

Problems

By this point, we have covered a wide range of important topics for the study and design of high-speed signaling systems. We now understand the fundamentals of transmission line behavior, including losses and crosstalk, modeling of I/O circuits, equalization, and modeling of jitter and noise. In this chapter we tie those concepts together with a method for analyzing and predicting the behavior of high-speed signaling interfaces using response surface modeling (RSM). Once we have added RSM to our repertoire, we will possess the necessary ingredients for the successful design of signaling systems operating at multi-Gb/s speeds.

14.1 MODEL DESIGN CONSIDERATIONS

Our understanding of channel noise and jitter modeling, combined with the peak distortion analysis technique, gives us nearly all the tools we need in order to design a multi-Gb/s signaling interface. However, we still need a method that allows us to understand how our design ...