ESA-ESTEC GSTP - Analog Silicon Compiler for Mixed Signal ASICs - - PowerPoint PPT Presentation

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ESA-ESTEC GSTP - Analog Silicon Compiler for Mixed Signal ASICs - - PowerPoint PPT Presentation

ESA-ESTEC GSTP - Analog Silicon Compiler for Mixed Signal ASICs Irradiation of CSA-PSA & Design of a CMOS High-Speed 8-bit 100MS/S ADC core Outline ! Irradiation of CSA-PSA chip [designed and fabricated in ASTP4 project] " Objectives


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SLIDE 1

ESA-ESTEC GSTP - Analog Silicon Compiler for Mixed Signal ASICs

Irradiation of CSA-PSA & Design of a CMOS High-Speed 8-bit 100MS/S ADC core

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SLIDE 2

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 2

Outline

! Irradiation of CSA-PSA chip [designed and fabricated in ASTP4 project]

" Objectives " Measurement setup " Measurements " Conclusions

! Design High-Speed 100MS/s 8-bit ADC

" Objectives " Design methodology " Architectural level design " Device level design " Layout " Measurements " Conclusions

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SLIDE 3

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 3

Irradiation CSA-PSA: objectives

! Perform an initial evaluation of the total dose hardness of

the commercial 0.7µm CMOS process from MIETEC

" radiation tolerance evaluation of standard CMOS technology

! Total dose testing on CSA-PSA chip :

" designed and fabricated in ASTP4 project “VLSI Design Tools-

Module generation for analog silicon compilation” with the ESTEC division of the ESA (Contract 9890/92/NL/GS). ! Workpackage

" WP1200

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SLIDE 4

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 4

CSA-PSA: block-diagram

tr

C f R 1 diff. HV Q E=hv

  • Rbias
  • ut
  • n integr.

Rpz

τ τ

Cdif Charge Sensitive Amplifier

Semi-Gaussian pulse shaper

detector

τ0

f

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SLIDE 5

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 5

CSA-PSA: micro photograph

CSA PSA

Integrator Pole-zero canceling Differentiator

Rf

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SLIDE 6

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 6

CSA-PSA: measurement setup

! Compliant with AD3 ! Five samples were exposed to 50 krad ! Two of them were afterwards exposed to 100 krad ! Measurements:

" for good comparison additional noise and linearity measurements

were done before irradiating the samples

" for each sample 11 inputs were applied: varying from 5, 10, 20,

30, 40, 50, 60, 70, 80, 90, 100fC

" for each input signal a histogram, comprising 30.000 samples,

was measured

" linearity and noise were calculated from histograms

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SLIDE 7

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 7

CSA-PSA: measurement results

0.5

  • utput voltage [V]

1000 500 00 1 1.5 2 0.5

  • utput voltage [V]

1000 500 00 1 1.5 2 0.5

  • utput voltage [V]

1000 500 00 1 1.5 2 0.5

  • utput voltage [V]

1000 500 00 1 1.5 2 0.5

  • utput voltage [V]

1000 500 00 1 1.5 2 0.5

  • utput voltage [V]

1000 500 00 1 1.5 2

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SLIDE 8

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 8

CSA-PSA: measurement results cont’d

! gain:18mV/fC ! peaking time: 1.14

µs

! noise: 899 e-RMS ! linearity < 0.5 %

97 98 99 100 101 102 103

time [ sec] Output voltage CSA-PSA [V]

  • 0.5

0.5 1.0 1.5 2.0 2.5

τp

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SLIDE 9

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 9

CSA-PSA: measurement results cont’d

Input Charge [fC]

10 1.0 20 0.2 30 1.2 40 0.4 50 1.4 60 0.6 70 1.6 80 0.8 90 1.8 100 2.0

Output voltage [V]

Before irradiation

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SLIDE 10

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 10

CSA-PSA: measurement results cont’d

10 1.0 20 0.2 30 1.2 40 0.4 50 1.4 60 0.6 70 1.6 80 0.8 90 100

  • utput voltage

[V] Input Charge [fC]

  • 0.2

After 50 krad

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SLIDE 11

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 11

CSA-PSA: measurement results cont’d

! After exposure to 50 krad

" a slight decrease in conversion gain: from 18mV/fC to 16mV/fC " the peaking time decreases slightly from 1.14 to 1.17µs " the noise level shows little change

! Conclusion 50 krad irradiation

" all chips survived the irradiation testing of 50 krad quite good " only a slight decrease in performance is noticed " good recovery after 24 hours " full recovery after 168 hours.

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SLIDE 12

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 12

CSA-PSA: measurement results cont’d

10 20 30 40 50 60 70 80 90 100

Input Charge [fC]

1.0 0.2 1.2 0.4 0.6 0.8

  • 0.2
  • utput voltage

[V]

After 100 krad

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SLIDE 13

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 13

CSA-PSA: measurement results cont’d

! After exposure to 100 krad

" a further decrease in performance " the conversion gain dropped by a factor of two " the peaking time increased from 1.14µs to 1.20µs " the noise level increased slightly After 24 hours annealing little

recovery was seen, after 168 hours of annealing both samples had fully recovered from the irradiation ! Conclusion 100 krad irradiation

" both samples survived irradiation " little recovery after 24 hours annealing " full recovery after 168 hours of annealing

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SLIDE 14

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 14

CSA-PSA: conclusions

! the Alcatel Microelectronics CMOS 0.7µm technology

shows good radiation tolerance

! deep submicron CMOS technologies can be a viable

alternative to expensive radiation hard technology:

" gate all around

! the sample set was too small to draw finalizing

conclusions, but same message was heard on RadTol meeting

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SLIDE 15

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 15

CSA-PSA: conclusions cont’d

! RadTol 49 meeting

" gate allround techniques for analog as well as digital libraries " promising results were presented at the RadTol meeting

#plain CMOS is a true candidate for future space applications. ! Publications originating from this work

" J. Vandenbussche, F. Leyn, G. Van der Plas, G. Gielen, "Total

Dose Testing of a Standad CMOS Particle Detector Front-End for Space Applications", RadTol meeting R49, Geneve, October 28 1998.

" J. Vandenbussche, F. Leyn, G. Van der Plas, G. Gielen, and W.

Sansen, "A Fully Integrated Low-Power CMOS Paritcle Detector Front-End for Space Applications", IEEE Transactions on Nuclear Science, Vol. 45, pp. 2262-2272, August 1998.

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SLIDE 16

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 16

Outline

! Irradiation of CSA-PSA chip

" Objectives " Measurement setup " Measurements " Conclusions

! Design High-Speed 100MS/s 8-bit ADC

" Objectives " Design methodology " Architectural level design " Device level design " Layout " Measurements " Conclusions

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SLIDE 17

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 17

Objectives

! Address how state-of-the-art design can be enhanced

using AMGIE functionality

" topologies change as technological boundaries move on " what about design re-use? " how to speed up the design, what tasks can be automated?

! Demonstrator design:

" 8-bit ADC at 60-100MS/s is a typical component in receiver

front-ends

" design of high-speed ADC core for high-speed base station

application (GPS, video decoding, TV decoding, satellite decoding, WLAN, …) ! Workpackages:

" WP 2120, WP 2200, WP 2300, WP 2400, WP 2500

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SLIDE 18

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 18

Design Methodology

Sizing Architectural level ? ? ? ? ? Floorplanning Layout Assembly & Verification Synthesis:

Analog Digital

DESIGN PHASE

Sizing Device Level Layout Device Level Layout Module Level Standard cell Place & route

  • Matlab
  • Hspice
  • Virtuoso
  • Virtuoso
  • Mondriaan
  • C++
  • Virtuoso
  • Synopsis
  • Cell Ensemble
  • Avant! P&R

! symbolic analysis

for sizing level

! no analog tools for

module level

" MONDRIAAN

Tool

" bus generator " equal delay

routing ! assembly

manually

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SLIDE 19

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 19

Architectural Level: overview topologies

4 6 8 10 12 14 16 18 1K 10K 100K 1M 10M 100M 1G 10G

CMOS Bipolar GaAs

sigma-delta multi-step pipelined flash fs [Hz] bits

8-bit 100MS/s

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Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 20

Architectural Level: overview cont’d

! Possible candidates for 8-bit 100MS/s ADC:

" pipelined architecture

$ low power $ sampling speed shifts to higher frequencies as technology

scales down

$ no publications on such high-speed ‘working’ designs

" flash:

$ consumes a lot of power $ intrinsically the fastest architecture with its full parallel

implementation

$ 8-bit 80MS/s CMOS flash ADC has been published

#Only the flash architectures are capable of obtaining the targeted specifications in the 0.35 µm CMOS technology

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Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 21

Architectural Level: Flash ADC

! Problems classical flash ADC

" large power consumption (2N comparators)

$ solution: folding

" large input capacitance, resulting in bandwidth limitations for

input signal frequencies

$ solution: interpolation

" input feedthrough " kickback noise

! Additional improvements

" averaging (Bult ISSCC ) by preamplifiers " new fully differential input stage " new enhanced comparator to avoid kickback noise

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Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 22

Architectural Level: block diagram

Reference Ladder Preamp Stage 1 Comparator Error Correction (NAND)

ROM pull-up

GRAY ENCODER (ROM)

Latch clk vin_min vin_plus vin_min_sh vin_plus_sh

S/H

Preamp Stage 2

b0 b1 b2 b3 b4 b5 b6 b7

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Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 23

Architectural Level Design

How much equivalent input referred offset for INL/DNL < 0.5 LSB with yield of 99.9%?

! Static performance:

" INL/DNL < 0.5 LSB

with yield 99.9%

" Monte-Carlo

simulations

"

! Dynamic performance:

... LSB

  • ffset

7 . < σ

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SLIDE 24

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 24

Architectural Level Design cont’d

2 2 _ 1 _ , 2 1 _ , 2 _ 2 , 1 _ 2 ,

        ⋅ +         + =

st preamp st preamp

  • ffset

comp st preamp

  • ffset

st preamp

  • ffset

st preamp

  • ffset

total

A A A σ σ σ σ

! For optimal dynamic performance:

" Mismatch contribution of comparator should be negligible " Comparator can be optimized for speed

#

15 ) , (

2 _ 1 _

≥ = ⋅ = technology INL f A A A

st preamp st preamp preamp

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SLIDE 25

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 25

Architectural Level Design cont’d

! Static performance ! Dynamic

performance

" Admissible phase

shift for Nyquist performance?

" Vgs-Vt = 0.3 V " Preamplifier

Bandwith/Input Frequency = 5.

" 50dB 3rd order

distortion (8bit)

# fp,preamp> 250MHz ° ≈       ≤ 12 5 1 atan

Nyquist

ϕ

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SLIDE 26

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 26

Design Methodology

Sizing Architectural level ? ? ? ? ? Floorplanning Layout Assembly & Verification Synthesis:

Analog Digital

DESIGN PHASE

Sizing Device Level Layout Device Level Layout Module Level Standard cell Place & route

  • Matlab
  • Hspice
  • Virtuoso
  • Virtuoso
  • Mondriaan
  • C++
  • Virtuoso
  • Synopsis
  • Cell Ensemble
  • Avant! P&R
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SLIDE 27

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 27

Device Level Design: 1st preamp stage

1:1 1 : 2 1: 2 : 1 :1 1 : 2 1: 2 : 1 :1 1:1

m2a m2b m1a m1b m1a m1b m4a m4b m4c m4d m33a m33d m33e m33h m3a m3b m3c m3d m33a m33c m33f m33g

Vref_plus Vin_plus Vin_min Vref_min Vbias_preamp_st1

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SLIDE 28

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 28

! Constraints from architectural design

" " "

! Additional design equation derived using ISAAC tool ! Sizing script (Matlab) using ASA optimization algorithm

Device Level Design: 1st preamp stage cont’d

10

1 _

=

st preamp

A MHz f

st preamp dominant

500

1 _ ,

>

( )2

2 , 2 1 _

7 . 4 3 4 3 LSB

  • ffset

total st preamp

≤ = σ σ

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SLIDE 29

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 29

Device Level Design: 2nd preamp stage

! Constraints from architectural level

" " "

! Additional design equation derived using ISAAC tool ! Sizing script (Matlab) using ASA optimization algorithm 2

2 _

=

st preamp

A ° ≈       ≤ > 12 5 1 Arctan 500

2 _ , Nyquist st preamp dominant

MHz f ϕ

( )2

2 , 2 2 _

7 . 4 1 4 1 LSB

  • ffset

total st preamp

≤ = σ σ

m1a m1b m2 Rload_a Rload_b

Vout_plus Vout_min Vin_plus Vin_min Vbias_preamp_st2

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SLIDE 30

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 30

Device Level Design: comparator

! very fast regenerative structure ! reset when clock is high

Clk_comp Vin_plus_comp Vin_min_comp Ci+2 Clk_nand Si

COMPARATOR NAND

M2 M1a M2b M3a M3b M4 M5a M5b M6a M6b M7a M8a M7b M8b M9a M9b M9c M11b M11b M12a M10c M10b M10c

vbias_comp

nr1 nr2

Ci+1

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SLIDE 31

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 31

Device Level Design: digital back-end

! encodes the thermometer code in Gray code ! 3- input NAND gate in the ROM decoder,

" additional error correction is done, " avoid bubbles in the output " avoid metastability

! standard cell synthesis doesn’t meet high-speed specs

" ‘manual’ design " Maple scripts for sizing " eldo for transistor level simulations

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SLIDE 32

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 32

Layout generation

! Layout-driven design: sized schematic alone does not

constitute an operational converter

" analog and digital power supplies have been separated " around the perimeter of the chip 1 nF of decoupling capacitance

has been integrated to provide stable power supplies ! Layout preamplifier stages

" layout of the preamplifiers was done manually " devices were generated using LAYLA " placement and routing was done manually " MONDRIAAN for regular arrays/connections " additional 500 pF of decoupling capacitance internally " guard rings to reduce substrate (digital) noise coupling

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Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 33

Layout generation cont’d

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SLIDE 34

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 34

Layout generation cont’d

! Comparator

" layout manually " placement & routing using Mondriaan for regular

arrays/connections

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SLIDE 35

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 35

Layout generation cont’d

! ROM decoder

" ROM cell manually " ROM array generated using the MONDRIAAN tool

! A buffered binary clock tree

" clock tree generated using MONDRIAAN " the design and layout of the clock buffer was done manually

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Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 36

Layout generation cont’d

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SLIDE 37

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 37

Layout: micro photograph

1st stage preamplifier 2nd stage preamplifier Gray decoder S/H

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SLIDE 38

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 38

Characterization High-speed ADC

! Functional testing

" static measurements (INL/DNL) " dynamic Measurements (SFDR/SNDR) " datasheet

! Irradiation testing

" budget reallocated for

redesign ! Dedicated test PCB

was developed

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SLIDE 39

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 39

Characterization: static measurements

! Full speed

measurement

" fclk = 100 MS/s " fin = 3 kHz " calculate histogram " after unwrapping

INL/DNL can be calculated ! With default

biasing ADC shows missing codes

! After tuning:

DNL < 1.6 LSB

50 100 150 200 250

  • 1.5
  • 1
  • 0.5

0.5 1 1.5 2

code [] DNL [LSB]

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SLIDE 40

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 40

Characterization: static measurements cont’d

50 100 150 200 250

  • 3
  • 2
  • 1

1 2

code [] INL [LSB]

! After tuning:

INL < 2.7 LSB

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SLIDE 41

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 41

Characterization: dynamic measurements

! After tuning ! fclk= 100MS/s ! fin = 6 kHz

SFDR = 46 dB SNDR = 38 dB

  • 80
  • 60
  • 40
  • 20

20 40

Amplitude [dB]

10-4 10-3 10-2 10-1 100

frequency/fclk [ ]

SFDR SNDR

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SLIDE 42

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 42

Characterization: dynamic measurements cont’d

! After tuning ! fclk= 100MS/s ! fin = 5 MHz

SFDR = 42 dB SNDR = 29 dB

  • 80
  • 60
  • 40
  • 20

20 40

Amplitude [dB]

10-4 10-3 10-2 10-1 100

frequency/fclk []

SFDR SNDR

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SLIDE 43

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 43

Characterization: datasheet

Specification Target value First Design input capacitance < 100 pF 3 pF input range > 0.5 V ptp 1.3 V ptp latency not specified 1 clock cycle INL/DNL < ½ LSB 2.7/1.6 LSB SFDR > 45 dB 46 dB @ fin=6 kHz 42 dB @ fin=5 MHz SNDR > 40 dB 38 dB @ fin=6 kHz 29 dB @ fin=5 MHz ENOB 6.5 bits @ 30 MHz NM parallel output

  • k
  • k

digital output:

  • logic family
  • data format

CMOS levels Gray Code CMOS levels Gray Code Conversion rate 1 code/clock cycle 1 code/clock cycle Update rate 60 MS/s 100 MS/s Drive Capability

  • 10 pF@100MS/s

5 pF @200MS/s radiation tolerance 50 krad NM

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SLIDE 44

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 44

Measurement analysis

! High-speed ADC is working at 100 MS/s ! Slightly out of spec ! INL measurements show missing codes

105 110 115 120 125 130 135 140 145

  • 1.5
  • 1
  • 0.5

0.5 1 1.5

code [] DNL [LSB]

Codes are never excited

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SLIDE 45

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 45

Measurement analysis cont’d

! Malfunctioning second stage preamplifier

" common mode output 2nd stage preamp too low

#input transistor of the comparator out of the saturation region #no gain in comparator #mismatch amplified instead of attenuated ! Hypothesis consolidated by:

$ additional (symbolic) analysis

comparator [Van der Plas ECCTD ‘98]

$ transistor level simulation

with tuned biasing

$ measurements with tuned biasing:

no more missing codes

m1a m1b m2 Rload_a Rload_b

Vout_plus Vout_min Vin_plus Vin_min Vbias_preamp_st2

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SLIDE 46

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 46

Measurement analysis: solutions

! Possible solutions …

" increasing the DC current through the 2nd stage preamp

$ current source diff pair no

longer in saturation!

" isolating power supply 1st and

2nd stage preamp with FIB

$ large setup times (days),

not routine job!

$ 3 samples FIBed,

none were functional afterwards # Redesign?

m1a m1b m2 Rload_a Rload_b

Vout_plus Vout_min Vin_plus Vin_min Vbias_preamp_st2

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SLIDE 47

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 47

Measurement analysis: solutions cont’d

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SLIDE 48

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 48

Redesign High-Speed ADC

! New topology for 2nd stage ! Comparator upscaled

" 1st design runs up to 200 MS/s! " lower mismatch

! Separate power supply

for 1st and 2nd stage preamplifiers

1 : 1 1 : 1

m2a m1a m1b m3b m3c m3a m3d

vin_min vin_plus vbias_st2

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SLIDE 49

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 49

Redesign High-speed ADC cont’d

1st stage preamplifier 2nd stage preamplifier Gray decoder S/H

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SLIDE 50

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 50

Redesign High-Speed ADC: datasheet

Specification Target value First Design Redesign input capacitance < 100 pF 3 pF 4.8 pF input range > 0.5 V ptp 1.3 V ptp 1.3 V ptp latency not specified 1 clock cycle 1 clock cycle INL/DNL < ½ LSB 2.7/1.6 LSB 0.3/0.6 LSB SFDR > 45 dB 46 dB @ fin=6 kHz 42 dB @ fin=5 MHz

  • SNDR

> 40 dB 38 dB @ fin=6 kHz 29 dB @ fin=5 MHz

  • ENOB

6.5 bits @ 30 MHz NM

  • parallel output
  • k
  • k
  • k

digital output:

  • logic family
  • data format

CMOS levels Gray Code CMOS levels Gray Code CMOS levels Gray Code Conversion rate 1 code/clock cycle 1 code/clock cycle 1 code/clock cycle Update rate 60 MS/s 100 MS/s 100 MS/s Drive Capability

  • 10 pF@100MS/s

5 pF @200MS/s 10 pF@100MS/s 5 pF @200MS/s radiation tolerance 50 krad NM

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SLIDE 51

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 51

Conclusions

! Results

" high-speed 100MS/s 8-bit ADC

core (packaged/naked die)

" test PCB delivered

! ADC core was used as external

part in WLAN prototype [IMEC]

! Publications

slide-52
SLIDE 52

Final presentation – ESA-ESTEC 7/3/2001 Jan Vandenbussche 52

Publications

! G. Van der Plas, J. Vandenbussche, G. Gielen and W. Sansen, "Mondriaan: a

Tool for Automated Layout Synthesis of Array-type Analog Blocks", Proc. on the IEEE 1998 Custom Integrated Circuits Conference, pp. 485-488, California, May 1998.

! J. Vandenbussche, G. Van der Plas, W. Verhaegen and G. Gielen, "Statistical

Behavioral Modeling of A/D Converters", IEEE/VIUF International Workshop on Behavioral Modeling and Simulation, Florida, October 1998.

! G. Van der Plas, W. Daems, E. Lauwers, J. Vandenbussche, W. Verhaegen, G.

Gielen, W. Sansen, "Symbolic Analysis of CMOS Regenerative Comparators", European Conference on Circuit Theory and Design, pp. 86-89, Italy, August 1999.

! G. Van der Plas, J. Vandenbussche, W. Verhaegen, G. Gielen and W. Sansen,

"Statistical Behavioral Modeling for A/D Converters", Proc. IEEE 1999 International Conference on Electronics, Circuits and Systems, pp. 1713-1716, Cyprus, September 1999.