SPICE Corner Model Generation for Opposite MOSFET Variations

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Solution Overview

Problem

Conventional SPICE corner models fail to efficiently verify circuit operations when MOSFET on-currents vary in opposite directions, requiring lengthy Monte Carlo simulations due to the lack of prepared corner models for such variations, especially in differential amplifier circuits combining low-Vth and high-Vth MOSFETs.

Innovation Solution

A method and apparatus for generating SPICE corner models by preparing a table of ratios between same and opposite directional variations, allowing dynamic formation of corner models during circuit simulations, reducing data preparation and reading time by using a ratio table to adjust skew parameter widths.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If conventional SPICE corner models are used for circuit simulation, then same-directional variations can be verified, but opposite-directional variations require lengthy Monte Carlo simulations

Engineering Contradiction:
Improvesimulation efficiencyVSAvoidsimulation time
Core Design Contradiction:
ProductivityVSLoss of time

Solution Approach 1:

The patent pre-calculates and stores ratio values between same-directional and opposite-directional variation magnitudes in a ratio table during the model generation phase. This preliminary action enables the simulation phase to quickly retrieve and apply appropriate ratios without performing time-consuming Monte Carlo simulations, thus resolving the contradiction between verification capability and simulation time.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent creates simplified corner models for opposite-directional variations by copying and scaling the characteristics from same-directional corner models using pre-stored ratios. Instead of performing full Monte Carlo simulations, the system generates approximate opposite-directional corner models by applying ratio factors to existing model parameters, significantly reducing simulation time while maintaining adequate verification accuracy.

Inventive Principle:
Principle #26Copying

2Reliability

If corner models for all MOSFET combinations are prepared in advance, then comprehensive verification is possible, but data preparation and reading time increases

Engineering Contradiction:
Improveverification completenessVSAvoiddata preparation time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent creates a universal ratio table that can be applied to any combination of MOSFETs (NFETs and PFETs) regardless of their specific types or thresholds. The same ratio table serves all verification needs by providing scaling factors that work across different device combinations, eliminating the need to prepare separate corner models for each possible MOSFET pair while maintaining comprehensive verification capability.

Inventive Principle:
Principle #6Universality (Multi-functionality)

Solution Approach 2:

The patent transforms the verification approach by changing from preparing complete corner model datasets for all combinations to storing compact ratio parameters. These ratio parameters can be dynamically applied to generate appropriate corner models for any MOSFET combination during simulation, reducing data preparation time while maintaining the ability to verify all combinations through parameter scaling rather than exhaustive pre-computation.

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If Monte Carlo simulations are performed for opposite-directional variations, then accurate verification is achieved, but simulation time becomes excessively long

Engineering Contradiction:
Improveverification accuracyVSAvoidsimulation time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent applies partial action by using pre-calculated ratios derived from a limited set of Monte Carlo simulation results or analytical calculations, rather than performing exhaustive Monte Carlo simulations for every verification case. The ratio table captures the essential statistical relationships, allowing subsequent verifications to use these pre-extracted insights without repeating the full statistical analysis, thus achieving adequate accuracy with minimal simulation time.

Inventive Principle:
Principle #16Partial or excessive action

Data Source

PatentUS8156461B2Spice corner model generating method and apparatus
Publication Date: 2012.04.10 KK TOSHIBA
  • US8156461B2 patent drawing
  • US8156461B2 patent drawing
  • US8156461B2 patent drawing

AI summary

In one embodiment, a SPICE corner model generating method for generating a SPICE corner model of an MOSFET includes preparing a table of a ratio X regarding a combination of two kinds of MOSFETs selected from N kinds of MOSFETs, the ratio X being a magnitude of a variation of an MOSFET in a case where directions of variations of the two kinds of MOSFETs are opposite directions to a magnitude of a variation of an MOSFET in a case where the directions of the variations of the two kinds of MOSFETs are the same direction, where N is an integer of 2 or greater. The method further includes reading out, when a combination of two kinds of MOSFETs is designated among the N kinds of MOSFETs, a value of the ratio X corresponding the designated combination from the table of the ratio X. The method further includes forming two kinds of corner models of opposite directional variations, the two kinds of corner models including a first corner model generated by applying the value of the ratio X to a fast-side corner of a first MOSFET of the two kinds of MOSFETs and to a slow-side corner of a second MOSFET of the two kinds of MOSFETs, and a second corner model generated by applying the value of the ratio X to a slow-side corner of the first MOSFET and to a fast-side corner of the second MOSFET.