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Workshop Frontiers in Analog CAD, Berkeley, Feb. 14 th -15 th 2013 ASDeX-driven Analog Circuit Verification Mingyu Ma , Lars Hedrich Department of Computer Science Goethe University Frankfurt am Main, Germany Sebastian Steinhorst TUM CREATE Singapore

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Page 1: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Workshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013

ASDeX-driven Analog Circuit Verification

Mingyu Ma, Lars Hedrich Department of Computer Science Goethe University Frankfurt am Main, Germany

Sebastian Steinhorst TUM CREATE Singapore

Page 2: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Outline

Introduction

ASDeX and AXEI

ASDeX-driven Work-Flow

Conclusion

Page 3: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Introduction

3

Motivation: - Specification for analog circuits mostly written in text

Complex description misunderstanding - Verification methodologies

Difficult to understand without additional documentation Rarely implemented by end users

- IP-XACT for digital circuits [IEEE SA-1685-2009] - ASDeX integrated successfully into validation and synthesis workflow

Aim: - Integration of ASDeX-format into analog verification workflow

Include all relevant information - An interface from ASDeX to target tools

ASL & assertion based model checking [1] Other verification methodologies

Introduction

Page 4: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Assertion-based Verification

4

Introduction

Page 5: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

ASDeX-driven Design Flows

5

Introduction

DUV´s specification in ASDeX

specification testbench function task

AXEI & Templates

Page 6: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

ASDeX-driven Design Flows

6

Introduction

DUV´s specification in ASDeX

specification testbench function task

AXEI & Templates

ASL

Page 7: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Concept for Code Generation using AXEI

7

ASDeX

Template

Input: - ASDeX file set - Code templates

ASDeX and AXEI

Page 8: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Concept for Code Generation using AXEI

8

ASDeX Engine Interface: - Python - Parser - Generator

ASDeX

Template

AXEI Generator

Input: - ASDeX file set - Code templates

ASDeX and AXEI

Page 9: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Concept for Code Generation using AXEI

9

ASDeX Engine Interface: - Python - Parser - Generator

ASDeX

Template

AXEI Generator

Target Code

VHDL-AMS PERL

ASL ASDeX

……

Input: - ASDeX file set - Code templates

Output: - Target code for design tools - New values of circuit’s properties in ASDeX - Documentation

ASDeX and AXEI

Page 10: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Overview of ASDeX Structure

10

Contents:

All relevant parameters of specification

Properties of analog circuits

Ports with characteristics

Operating parameters &

environmental conditions

Information about measurement, testbench and simulation

ASDeX: Analog Specification Description in XML

Formalization through XML-Schema-Definition (XSD)

ASDeX and AXEI

Page 11: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Overview of ASDeX Structure

11

Contents:

All relevant parameters of specification

Properties of analog circuits

Ports with characteristics

Operating parameters &

environmental conditions

Information about measurement, testbench and simulation

ASDeX: Analog Specification Description in XML

Formalization through XML-Schema-Definition (XSD)

ASDeX and AXEI

Page 12: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Mapping Sub-Blocks in the Task Block

12

Task

ASDeX and AXEI

Page 13: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Mapping Sub-Blocks in the Task Block

13

Task

log XZ pY

∆=

∆1

2

log UZ pU

∆=

ASDeX and AXEI

Page 14: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Mapping Sub-Blocks in the Task Block

14

Task

log XZ pY

∆=

∆1

2

log UZ pU

∆=

20

ASDeX and AXEI

Page 15: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Mapping Sub-Blocks in the Task Block

15

Task

log XZ pY

∆=

∆1

2

log UZ pU

∆=

20

ASDeX and AXEI

ASDeX Specification

ASDeX TB-Library

TB component connects to

port A and

port B

Definition: Port input Port output

A = input B = output

Page 16: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Template

Examples: Generation of Testbench Code

16

ASDeX AXEI

Generator

Target Code VHDL-

AMS PERL

ASL ASDeX

……

ASDex-driven work-flow

inp

inn

Page 17: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Template

Examples: Generation of Testbench Code

17

ASDeX AXEI

Generator

Target Code VHDL-

AMS PERL

ASL ASDeX

……

ASDeX

<Testbench> <component> <name>Uin</> <nature>v</> <dc_supply> <p_net>inp</> <n_net>0</>

<Specification> <ports> <port><name>in1</> <port><name>output</>

<Task-tb_port_mapping> <tb_port_mapping> <port_name>output</> <te_net_name>Uout</> <tb_port_mapping> <port_name>in1</> <tb_net_name>inp</>

ASDex-driven work-flow

inp

inn

Page 18: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Template

Examples: Generation of Testbench Code

18

Template (Mako)

ASDeX AXEI

Generator

ASDeX

<Testbench> <component> <name>Uin</> <nature>v</> <dc_supply> <p_net>inp</> <n_net>0</>

<Specification> <ports> <port><name>in1</> <port><name>output</>

<Task-tb_port_mapping> <tb_port_mapping> <port_name>output</> <te_net_name>Uout</> <tb_port_mapping> <port_name>in1</> <tb_net_name>inp</>

Mapping: % for spec_port in ports.port: % if spec_port.get_name( ) == mapp.port_name: % spec_port.set_name(mapp.tb_port_name)

spv (instanz(ref_name, `Uin´), netinp, 0, p1=1.5);

ASDex-driven work-flow

SPICE like netlist file

inp

inn

Generation: % ${cp.nature} (instanz(ref_name, `${cp.name}´), net${dc_supply.p_net}, ${dc_supply.n_net}, ${cp_par.name}=${cp_par.value});

Page 19: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA 19

Examples: Generation of Function Code

ASDeX

Template

AXEI Generator

Target Code VHDL-

AMS PERL

ASL ASDeX

……

ASDex-driven work-flow

Page 20: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA 20

Examples: Generation of Function Code

ASDeX

Template

AXEI Generator

Target Code VHDL-

AMS PERL

ASL ASDeX

……

ASDeX <Function><name>slew-rate</> <object_name>IN</> <object_name>OUT</> <variable_name>low</> <variable_default><value>0.2</> <divide/> <apply><minus/> <apply><fn><ci>max</></> <ci>OUT</></> <apply><fn><ci>min</></> <ci>OUT</></></> <apply><fn><ci>risetime</></> ……

<Ref_function><ref_name>slew-rate</> <func_mapping> <object_in_function>IN</> <tb_net>inp</> <func_mapping> <object_in_function>OUT</> <tb_component>output</> <parameter_override> <variable_name>low</> <value>0.1</>

ASDex-driven work-flow

Page 21: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA 21

Examples: Generation of Function Code

ASDeX

Template

AXEI Generator

ASDeX <Function><name>slew-rate</> <object_name>IN</> <object_name>OUT</> <variable_name>low</> <variable_default><value>0.2</> <divide/> <apply><minus/> <apply><fn><ci>max</></> <ci>OUT</></> <apply><fn><ci>min</></> <ci>OUT</></></> <apply><fn><ci>risetime</></> ……

<Ref_function><ref_name>slew-rate</> <func_mapping> <object_in_function>IN</> <tb_net>inp</> <func_mapping> <object_in_function>OUT</> <tb_component>output</> <parameter_override> <variable_name>low</> <value>0.1</>

Template (Mako) % for child in function.iter(): %% %% Build the equation %% Replace the object name %% Override the variable value %% Transform to the target code function %%

ΔOUT / risetime

Function ASL(macro) file

numvar %intern_output_min, …… ; on steady assign(%intern_output_min,min) value(OUT)[-inf,inf]; on steady assign(%intern_output_max,max) value(OUT)[-inf,inf]; ……

ASDex-driven work-flow

Page 22: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

ASDeX Verification Run

22

ASDex-driven work-flow

Page 23: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

ASDeX Verification Run

23

GUI Automatic Automatic Automatic Automatic Automatic Automatic

ASDex-driven work-flow

Page 24: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

ASDeX Verification Run

24

Specification description in ASDeX Format Testbench & Function Generation Properties Assertion Simulation Model Checking Evaluation Documentation Generation

180nm Technology

GUI Automatic Automatic Automatic Automatic Automatic Automatic

ASDex-driven work-flow

Page 25: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Conclusion

25

Conclusion

An ASDeX-driven verification framework

All necessary methods provided by AXEI

Case study

An higher degree of automation and formalization in verification process

Better usability for end users

Page 26: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Workshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013

Thank you for your attention!

ASDeX Home Page: www.em.cs.uni-frankfurt.de/asdex

Page 27: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Signal Transition (1)

27

Page 28: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Signal Transition (2)

28

Page 29: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Func

tion

Description in Function Block

29

ASDeX and AXEI

Formulas described in MathML format

Name of the function

List of the objects to be calculated

List of the variables, which are defined in the function

Variable´s name

Default value of the variable

Path for a pre-defined function description in mathML

mathML description block

Needed for property parameters calculation, e.g. in a function library of the model checking work flow [1].

Page 30: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Description in Function Block

30

Formulas described in MathML format

Func

tion

ASDeX and AXEI

log XZ pY

∆=

Objects Variable

20

Needed for property parameters calculation, e.g. in a function library of the model checking work flow [1].

Page 31: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA 31

Examples: Generation of Ocean Scripts

ASDeX

Template

AXEI Generator

ASDeX <Function> <object_name>X</> <object_name>Y</> <variable_name>low</> <variable_default><value>0.1</> <mrow> <mi>psrr</> <mo>=</> <mn>20</> <mi>log</> <mo>(</> <mrow> <mi>X</> <mo>(</> <mi>freq</> <mo>)</> </> <mo>/</> <mrow> <mi>Y</> <mo>(</> <mi>freq</> <mo>)</> </> <mo>)</> </>

<Ref_function> <func_mapping> <object_in_function>X</> <tb_component>Vcc</> <func_mapping> <object_in_function>Y</> <tb_component>Vos</> <parameter_override> <variable_name>freq</> <value>10</>

{(dB20(value(mag(getData("/Vcc" ?result "xf-xf")) 10)) - dB20(value(mag(getData("/Vos" ?result "xf-xf")) 10)))}

Template (Mako) % for child in function.iter(): %% %% Build the equation %% Replace the object name %% Override the variable value %% Transform to the target code function %%

Topology Synthesis from ASDeX

PSRR = 20log(Vcc(freq=10)/Vos(freq=10))

Ocean Script

Page 32: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Comparison

32

Conclusion

Manual design flaw avoided Time saved, through the fully automatic framework

Page 33: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Comparison

33

Conclusion

Manual design flaw avoided Time saved, through the fully automatic framework

asdex::specIO::class docs doc_output asdex_output

Page 34: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Comparison

34

Conclusion

Manual design flaw avoided Time saved, through the fully automatic framework

Page 35: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Comparison

35

Conclusion

Manual design flaw avoided Time saved, through the fully automatic framework

asdex::specIO::class docs doc_output asdex_output

Page 36: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Comparison

36

Conclusion

Manual design flaw avoided Time saved, through the fully automatic framework

Page 37: ASDeX-driven Analog Circuit Verification - FAC 2013fac2013.imag.fr/FINAL/MaSlides.pdfWorkshop Frontiers in Analog CAD, Berkeley, Feb. 14th-15th 2013 ASDeX-driven Analog Circuit Verification

Mingyu Ma Goethe University Frankfurt

FAC 2013 Feb. 14th – 15th 2013 Berkeley, CA, USA

Comparison

37

Conclusion

Manual design flaw avoided Time saved, through the fully automatic framework