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 ...
