Frequency-Domain Signal Integrity Analysis Using S-Parameter Approaching Curves

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Solution Overview

Problem

Existing signal integrity analysis tools for high-speed boards and integrated circuits are time-consuming and complex, as they require multiple frequency point analyses to cover broad-band designs, limiting their ability to ensure precise signal integrity and compliance with industry electrical performance requirements.

Innovation Solution

A method and system for analyzing signal integrity in the frequency domain, using a driver model and channel model represented by approaching curves or lines, which reduces the number of frequency points needed for analysis, facilitating faster and more precise evaluation by converting time-domain driver models into frequency-domain models and using S-parameter-based equations to create a frequency-aware matrix.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If multiple frequency point analyses are performed to cover broad-band designs, then signal integrity evaluation completeness is improved, but analysis time and computational complexity increase

Engineering Contradiction:
Improvesignal integrity evaluation completenessVSAvoidanalysis time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent transforms the analysis from time-domain to frequency-domain by changing the fundamental parameter representation. Time-domain waveforms are converted to frequency-domain spectra using Fast Fourier Transform (FFT), allowing broadband signal integrity analysis to be performed at individual frequency points rather than requiring multiple time-domain simulations, thus reducing computational time while maintaining evaluation completeness

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent replaces time-domain signal propagation analysis with frequency-domain analysis. Instead of simulating signal transmission through time-domain circuit models, the system uses frequency-domain representations where signals are analyzed as spectral components, substituting the mechanical time-based simulation process with a frequency-based mathematical approach that is computationally more efficient

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

2Measurement precision

If time-domain driver models are used for signal integrity analysis, then modeling accuracy is improved, but computational burden and analysis complexity increase

Engineering Contradiction:
Improvemodeling accuracyVSAvoidanalysis complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent substitutes time-domain circuit modeling with frequency-domain modeling. Time-domain driver models that require complex transient simulations are replaced by frequency-domain models that use spectral representations and S-parameters, significantly reducing the computational complexity while maintaining the ability to accurately model signal integrity characteristics

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent changes the fundamental parameters from time-domain waveforms to frequency-domain spectra. By representing signals and circuits in the frequency domain, the system can use simpler mathematical operations (frequency multiplication instead of time-domain convolution) to achieve the same modeling accuracy with reduced computational complexity

Inventive Principle:
Principle #35Parameter changes

3Reliability

If comprehensive frequency point analysis is performed, then signal integrity coverage is improved, but computational burden increases

Engineering Contradiction:
Improvesignal integrity coverageVSAvoidcomputational burden
Core Design Contradiction:
ReliabilityVSPower

Solution Approach 1:

The patent changes the analysis parameter from time-domain to frequency-domain representations. By using frequency-domain models with S-parameters and approaching curves, the system can evaluate signal integrity across broadband ranges without requiring computationally intensive time-domain simulations at multiple frequency points, thus reducing overall computational burden while maintaining comprehensive coverage

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent creates simplified frequency-domain models that copy the essential characteristics of complex time-domain circuits. Instead of simulating the full time-domain behavior of complex driver models, the system uses frequency-domain equivalents (S-parameters, approaching curves) that capture the essential signal integrity characteristics with much lower computational cost

Inventive Principle:
Principle #26Copying

Data Source

PatentUS10268788B2Method and system for frequency-aware input/output signal integrity analysis
Publication Date: 2019.04.23 TAIWAN SEMICONDUCTOR MANUFACTURING CO LTD
  • US10268788B2 patent drawing
  • US10268788B2 patent drawing
  • US10268788B2 patent drawing

AI summary

A method includes building a driver model in frequency domain, extracting S (scattering) parameters, the S parameters to describe a real curve that represents a real signal channel between the driver model and a load circuit, and generating, based on the extracted S parameters, an approaching curve of the real curve, the approaching curve being expressed in an approaching equation.