SYSTEM ANALYSIS USING RESPONSE SURFACE MODELING - Advanced Signal Integrity for High-Speed Digital Design - page 599

14

SYSTEM ANALYSIS USING
RESPONSE SURFACE MODELING

14.1 Model design considerations 606

14.2 Case study: 10-Gb/s differential PCB interface 607

14.3 RSM construction by least squares fitting 607

14.4 Measures of fit 615

14.4.1 Residuals 615

14.4.2 Fit coefficients 616

14.5 Significance testing 618

14.5.1 Model significance: the F -test 618

14.5.2 Parameter significance: individual t -tests 619

14.6 Confidence intervals 621

14.7 Sensitivity analysis and design optimization 623

14.8 Defect rate prediction using Monte Carlo simulation 628

14.9 Additional RSM considerations 633

14.10 Summary 633

References 634

Problems 635

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.