10Design for Manufacturability Nieznany

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24 lutego 2010

Wojciech Kucewicz

1

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Design for

Design for

Design for

Design for

Design for

Design for

Manufacturability

Manufacturability

Design for

Design for

Manufacturability

Manufacturability

Manufacturability

Manufacturability

Manufacturability

Manufacturability

24 lutego 2010

Wojciech Kucewicz

2

From presentation of prof.Wieław Kuźmicz on MIXDES 2003

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Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability:

Design for Manufacturability:

what is it?

what is it?

24 lutego 2010

Wojciech Kucewicz

3

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Typical analog IC design cycle

Typical analog IC design cycle

Typical analog IC design cycle

Typical analog IC design cycle

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Wojciech Kucewicz

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Real circuits exhibit statis

Real circuits exhibit statistical

tical spread of

spread of

parameters and characteristics

parameters and characteristics

Real circuits exhibit statis

Real circuits exhibit statistical

tical spread of

spread of

parameters and characteristics

parameters and characteristics

Acceptance

Acceptance

Acceptance

Acceptance
region

region

This circuit is

This circuit is

not

not

manufacturable

manufacturable

24 lutego 2010

Wojciech Kucewicz

5

This circuit is

This circuit is

not

not

manufacturable

manufacturable

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Real circuits exhibit statis

Real circuits exhibit statistical

tical spread of

spread of

parameters and characteristics

parameters and characteristics

Real circuits exhibit statis

Real circuits exhibit statistical

tical spread of

spread of

parameters and characteristics

parameters and characteristics

Acceptance

Acceptance

Acceptance

Acceptance
region

region

This circuit is manufacturable

This circuit is manufacturable

24 lutego 2010

Wojciech Kucewicz

6

This circuit is manufacturable

This circuit is manufacturable

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Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

The question is:

The question is:

H

How to ensure that our design is not

ow to ensure that our design is not only

only

H

How to ensure that our design is not

ow to ensure that our design is not only

only

formally correct, but also

formally correct, but also manufacturable ?

manufacturable ?

The answer is in

The answer is in

Design for Manufacturability

Design for Manufacturability

24 lutego 2010

Wojciech Kucewicz

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Verification of manufacturability

Verification of manufacturability

Verification of manufacturability

Verification of manufacturability

Formal and functional verification: logic and/or

Formal and functional verification: logic and/or electrical

electrical

Formal and functional verification: logic and/or

Formal and functional verification: logic and/or electrical

electrical

simulations, DRC, LVS.

simulations, DRC, LVS.
Verification and optimization with respect of

Verification and optimization with respect of

Verification and optimization with respect of

Verification and optimization with respect of

secondary/parasitic effects

secondary/parasitic effects

: thermal effects,

: thermal effects, noise, RF

noise, RF

stability, transmission effects in

stability, transmission effects in interconnections etc.

interconnections etc.

yy

Verification and minimization of sensitivity to

Verification and minimization of sensitivity to

manufacturing imperfections

manufacturing imperfections --> reduction of

> reduction of yield losses

yield losses

manufactur ng mp rf ct ons

manufactur ng mp rf ct ons r uct on of

r uct on of y

oss s

y

oss s

due to

due to

catastrophic and parametric

catastrophic and parametric faults

faults

..

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Wojciech Kucewicz

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SOI detektor

SOI detektor

SOI detektor

SOI detektor

SOI Detector 48x48 cells

SOI Detector 48x48 cells

-- yields 20%

yields 20%

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Wojciech Kucewicz

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SOI Detector 128x128 cells

SOI Detector 128x128 cells -- yields 0%

yields 0%

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Terminology

Terminology

Terminology

Terminology

D f t

D f t (d f kt t k )

(d f kt t k )

Defect

Defect (defekt, usterka)

(defekt, usterka)::

a significant difference between designed and

a significant difference between designed and actual IC

actual IC

structure

structure

• Fault

• Fault (wada)

(wada): :

unacceptable IC performance

unacceptable IC performance

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Wojciech Kucewicz

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Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Defects:

Defects:

Structural defects:

Structural defects:

breaks, shorts,

breaks, shorts, pinholes etc.

pinholes etc.

Statistical variations of device stru

Statistical variations of device struct

cture

ure

:: doping profiles, layer

doping profiles, layer

thicknesses etc

thicknesses etc

thicknesses etc.

thicknesses etc.

Faults:

Faults:

Catastrophic (hard) faults

Catastrophic (hard) faults

: IC does not

: IC does not work (does not perform its

work (does not perform its

function)

function)

Parametric (soft) faults

Parametric (soft) faults

: IC does work

: IC does work but its performance is

but its performance is

unacceptable

unacceptable

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unacceptable

unacceptable

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Structural defects

Structural defects

Structural defects

Structural defects

Missing

Missing poly

poly

VDD

VDD

Missing

Missing poly

poly

An oxide

An oxide pinhole

pinhole

A break

A break

(missing

(missing

VDD

VDD

In

In

Out

Out

A break

A break

(

lit

(

lit

(missing

(missing

contact)

contact)

A short

A short (bridge)

(bridge)

(open, split

(open, split

node)

node)

VSS

VSS

St

t

l d f t ft

lt i

t t

hi f lt b t

l

St

t

l d f t ft

lt i

t t

hi f lt b t

l

VSS

VSS

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Structural defects often result in catastrophic faults but may also

Structural defects often result in catastrophic faults but may also

affect performance

affect performance

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Structural defects

Structural defects

Structural defects

Structural defects

A spot of missing metal

A spot of missing metal between

between

two contacts

two contacts results in a break

results in a break

two contacts

two contacts results in a break...

results in a break...

... but not always !

... but not always !

redundant routing

redundant routing

similar shape of

similar shape of the active

the active

area mask

area mask with a similar

with a similar

defect

defect does result in a break !

does result in a break !

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Structural defects not always result in faults

Structural defects not always result in faults

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Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

In a CMOS circuit voltage on a disconnected

In a CMOS circuit voltage on a disconnected

gg

transistor gate is unpredictable

transistor gate is unpredictable
(a) Low voltage (

(a) Low voltage (~~0) :

0) :

PMOS transistor conducting logic function

PMOS transistor conducting logic function not

not

PMOS transistor conducting, logic function

PMOS transistor conducting, logic function not

not

affected, but:

affected, but: -- increased "0" level and static DC

increased "0" level and static DC

current

current when A = "0", B ="1„

when A = "0", B ="1„ -- speed may be

speed may be

reduced

reduced
(b) High voltage (

(b) High voltage (~~VDD) :

VDD) : PMOS transistor cut

PMOS transistor cut

off, logic output incorrect

off, logic output incorrect when B = "0".

when B = "0".

Consequences of structural defects may be unpredictable

Consequences of structural defects may be unpredictable Structural

Structural

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q

y

p

q

y

p

defects may result in parametric faults

defects may result in parametric faults Faults are not always easily

Faults are not always easily

observable

observable

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Process and layout variations

Process and layout variations

Process and layout variations

Process and layout variations

• Unavoidable disturbances in

• Unavoidable disturbances in

Unavoidable disturbances in

Unavoidable disturbances in

process parameters

process parameters (temperatures,

(temperatures,

times, doses

times, doses etc.)

etc.)

• Unavoidable disturbances in

• Unavoidable disturbances in

Unavoidable disturbances in

Unavoidable disturbances in

litography

litography (under/overetching,

(under/overetching, mask

mask

misalignment, shape

misalignment, shape distortion etc.)

distortion etc.)

• Result: statistical spread of

• Result: statistical spread of device

device

parameters

parameters

parameters

parameters

Th

i ti

l d

t

t i

f lt

b t

Th

i ti

l d

t

t i

f lt

b t t t

hi

t t

hi

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Wojciech Kucewicz

15

These variations may lead to parametric faults but

These variations may lead to parametric faults but catastrophic

catastrophic

faults (non

faults (non--functional circuits) are also possible

functional circuits) are also possible

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Process variations:

Process variations: classification

classification

Process variations:

Process variations: classification

classification

Global variations: affect all structures in a wafer in the same way,

Global variations: affect all structures in a wafer in the same way,

do

do not introduce mismatch (example: variation of temperature along

not introduce mismatch (example: variation of temperature along

do

do not introduce mismatch (example: variation of temperature along

not introduce mismatch (example: variation of temperature along

aa furnace during thermal processes).

furnace during thermal processes).

Global process variations may result in large

Global process variations may result in large variations of device

variations of device

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Global process variations may result in large

Global process variations may result in large variations of device

variations of device

parameters

parameters

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Process variations:

Process variations: classification

classification

Process variations:

Process variations: classification

classification

Local deterministic variations are

Local deterministic variations are

Local deterministic variations are

Local deterministic variations are

deterministic (often, but not

deterministic (often, but not always, radial)

always, radial)

functions of position

functions of position on wafer (example:

on wafer (example:

radial variation

radial variation of temperature during

of temperature during

th

l

th

l

ss s)

ss s)

thermal

thermal processes).

processes).

Local deterministic variations introduce mismatch (difference in

Local deterministic variations introduce mismatch (difference in

parameters of identical devices) which increases with distance

parameters of identical devices) which increases with distance

b t

t h d i f

d i

b t

t h d i f

d i

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between matched pair of devices

between matched pair of devices

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Process variations:

Process variations: classification

classification

Process variations:

Process variations: classification

classification

Local random variations: "random

Local random variations: "random noise" in

noise" in

m

m

m

m

some process parameters

some process parameters or material

or material

properties. Example:

properties. Example: random variations in

random variations in

substrate

substrate doping concentration; another

doping concentration; another

example: random variations in carrier

example: random variations in carrier

example: random variations in carrier

example: random variations in carrier

lifetime.

lifetime.

Local random variations introduce mismatch which may or

Local random variations introduce mismatch which may or may not

may not

24 lutego 2010

Wojciech Kucewicz

18

Local random variations introduce mismatch which may or

Local random variations introduce mismatch which may or may not

may not

depend on distance.

depend on distance.

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Process variations: classification

Process variations: classification

Process variations: classification

Process variations: classification

Let's assume radial dependence of V

Let's assume radial dependence of V

T

T

::

No V

No V

T

T

mismatch for this pair of devices

mismatch for this pair of devices

Moderate V

Moderate V

T

T

mismatch for this pair of devices

mismatch for this pair of devices

Large V

Large V mismatch for this pair of devices

mismatch for this pair of devices

Large V

Large V

T

T

mismatch for this pair of devices

mismatch for this pair of devices

For a randomly selected sample of devices coming from

For a randomly selected sample of devices coming from various

various

unknown locations on the wafer deterministic

unknown locations on the wafer deterministic variations seem to be

variations seem to be

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random !

random ! -- that’s why all local variations

that’s why all local variations are often considered

are often considered

random.

random.

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Process variations: classification

Process variations: classification

Process variations: classification

Process variations: classification

Parameter value

Parameter value

actual value = nominal value

actual value = nominal value

l b l

i i

l b l

i i

+ global variation

+ global variation ΔΔgg
+ local deterministic variation

+ local deterministic variation

Δ

Δ

dd

+ local random variation

+ local random variation

Δ

Δ

rr

local random variation

local random variation

Δ

Δ

rr

Δ

Δ

gg

Nominal value

Nominal value

A t l l f

t

i

i

l

A t l l f

t

i

i

l

ff t d b

ff t d b

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Actual value of a process parameter is, in general case,

Actual value of a process parameter is, in general case, affected by

affected by

all three kinds of variations

all three kinds of variations

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Layout disturbances

Layout disturbances

Layout disturbances

Layout disturbances

Green:

Green: desired shape

desired shape (as designed)

(as designed)

Red:

Red: actual shape

actual shape

Green:

Green: desired shape

desired shape (as designed)

(as designed)

Red:

Red: actual shape

actual shape

misalignment:

misalignment:

global disturbance

global disturbance

over/underetching:

over/underetching:

global disturbance

global disturbance

shape distortion:

shape distortion:

local disturbance

local disturbance

L

t di t b

l h

l b l d l

l

L

t di t b

l h

l b l d l

l

t S

t S

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Layout disturbances also have global and local

Layout disturbances also have global and local components. Some

components. Some

disturbances affect device

disturbances affect device performance, other don

performance, other don’’tt

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Layout disturbances

Layout disturbances

Layout disturbances

Layout disturbances

Misalignment:

Misalignment:

W/L not affected

W/L not affected

Under/over etching:

Under/over etching:

change of W/L in a single

change of W/L in a single

device, but W/L(n) /W/L(p)

device, but W/L(n) /W/L(p) in

in

CMOS t

t ff t d

CMOS t

t ff t d

Shape distortion:

Shape distortion:

individual W/L change

individual W/L change in

in

every device

every device

S

di t b

ff t d i d i

it

f

S

di t b

ff t d i d i

it

f

a CMOS gate not affected

a CMOS gate not affected

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Some disturbances affect device and circuit performance,

Some disturbances affect device and circuit performance,

other don

other don’’tt

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Deep submicron CMOS: new

Deep submicron CMOS: new

phenomena (examples)

phenomena (examples)

Deep submicron CMOS: new

Deep submicron CMOS: new

phenomena (examples)

phenomena (examples)

M l

l l

M l

l l

i i

f d i

i i

f d i

Molecular scale

Molecular scale variations of doping

variations of doping

Lithography:

Lithography: proximity effects

proximity effects

and corrections,

and corrections, phase shifting

phase shifting

masks

masks

It is expected that very deep submicron CMOS circuits will

It is expected that very deep submicron CMOS circuits will

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It is expected that very deep submicron CMOS circuits will

It is expected that very deep submicron CMOS circuits will

exhibit much higher sensitivity to process and layout

exhibit much higher sensitivity to process and layout disturbances.

disturbances.

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Manufacturing imperfections vs.

Manufacturing imperfections vs.

faults: CMOS digital gates

faults: CMOS digital gates

Manufacturing imperfections vs.

Manufacturing imperfections vs.

faults: CMOS digital gates

faults: CMOS digital gates

Structural defects:

Structural defects:
• usually result in catastrophic faults

• usually result in catastrophic faults

usually result in catastrophic faults

usually result in catastrophic faults

• may affect performance

• may affect performance
Variations of device parameters:

Variations of device parameters:
• affect performance

• affect performance
• do not affect function

• do not affect function
Physical design:

Physical design:

Physical design:

Physical design:
• large number of small devices

• large number of small devices
• dense layout, dense wiring, large area

• dense layout, dense wiring, large area

y

g

g

y

g

g

--> sensitivity to structural defects

> sensitivity to structural defects

Structural defects are the most important source of faults

Structural defects are the most important source of faults in digital

in digital

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Structural defects are the most important source of faults

Structural defects are the most important source of faults in digital

in digital

CMOS circuits

CMOS circuits

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Manufacturing imperfections vs.

Manufacturing imperfections vs.

faults: CMOS analog circuits

faults: CMOS analog circuits

Manufacturing imperfections vs.

Manufacturing imperfections vs.

faults: CMOS analog circuits

faults: CMOS analog circuits

Structural defects:

Structural defects:
• usually result in catastrophic faults

• usually result in catastrophic faults

f

ff

f

f

ff

f

• often affect performance

• often affect performance
Variations of device parameters:

Variations of device parameters:
• strongly affect performance

• strongly affect performance

strongly affect performance

strongly affect performance

• often affect function, resulting in

• often affect function, resulting in

catastrophic

catastrophic faults

faults

Ph si l d si :

Ph si l d si :

Physical design:

Physical design:
• small number of relatively large devices

• small number of relatively large devices
• low layout and wiring density, moderate

• low layout and wiring density, moderate

y

g

y,

y

g

y,

area

area

--> low sensitivity to structural defects

> low sensitivity to structural defects

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25

In analogue circuits variations of device parameters are

In analogue circuits variations of device parameters are usually more

usually more

important source of failures than structural

important source of failures than structural defects

defects

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Fundamental

Fundamental model

model of a good IC design:

of a good IC design:

Fundamental

Fundamental model

model of a good IC design:

of a good IC design:

Gl b l

i ti

f d i

t

l

Gl b l

i ti

f d i

t

l

• Global variations of device parameters are large

• Global variations of device parameters are large
• Local variations of device parameters are small

• Local variations of device parameters are small

(1) Circuits are manufacturable if their performance is

(1) Circuits are manufacturable if their performance is insensitive to

insensitive to

absolute values of device parameters

absolute values of device parameters
(2) This is achieved if circuit performance depends on

(2) This is achieved if circuit performance depends on ratios of

ratios of

(2) This is achieved if circuit performance depends on

(2) This is achieved if circuit performance depends on ratios of

ratios of

device parameters ( device matching

device parameters ( device matching principle)

principle)

(3) Circuits based on device matching principle are

(3) Circuits based on device matching principle are manufacturable if

manufacturable if

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(3) Circuits based on device matching principle are

(3) Circuits based on device matching principle are manufacturable if

manufacturable if

device mismatch is not too big.

device mismatch is not too big.

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

Kontaktowa

Kontaktowa

ó i

ó i

Potencjał

Potencjał

F

i

F

i

Ładunek

Ładunek

ó

ó

Ładunek

Ładunek

domieszek

domieszek

Koncentracja

Koncentracja

d i

ki

d i

ki

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różnica

różnica

potencjałów

potencjałów

me

me--pp

pp

Fermiego

Fermiego

równoważny

równoważny

stanów

stanów

powierzchniowych

powierzchniowych

domieszek

domieszek

zjonizowanych w

zjonizowanych w

półprzewodniku

półprzewodniku

domieszki w

domieszki w

zaimplantowanym

zaimplantowanym

kanale

kanale

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

A good measure of matching: input offset voltage of a differential pair

A good measure of matching: input offset voltage of a differential pair

Δ

Δ

V = V

V = V

GS1

GS1

-- VV

GS2

GS2

-- a difference in gate voltages necessary to obtain equal drain currents

a difference in gate voltages necessary to obtain equal drain currents (assuming

(assuming

identical drain

identical drain--source voltages V

source voltages V

DS

DS

))

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

Variations affecting the drain current:

Variations affecting the drain current:

• Carrier mobility

• Carrier mobility μμ

Carrier mobility

Carrier mobility μμ

• Oxide capacitance C

• Oxide capacitance C

ox

ox

• Channel dimensions W, L

• Channel dimensions W, L
• Threshold voltage V

• Threshold voltage V

th

th

Variations affecting the threshold voltage:

Variations affecting the threshold voltage:

• Φ

Φ

ms

ms

, , Φ

Φ

ff

-- negligible effect (log functions of doping)

negligible effect (log functions of doping)

• Interface charge Q

• Interface charge Q

• Interface charge Q

• Interface charge Q

ss

ss

• Substrate doping N

• Substrate doping N

A

A

• Channel implant dose D

• Channel implant dose D

II

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pp

II

• Oxide capacitance C

• Oxide capacitance C

ox

ox

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

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VV

Th

Th

mismatch as a function of device channel size

mismatch as a function of device channel size

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

F d t hi

i i

di

si s t

b

s d!

F d t hi

i i

di

si s t

b

s d!

For good matching minimum dimensions cannot be used!

For good matching minimum dimensions cannot be used!
As a

As a result, there is a trade

result, there is a trade off between good matching and:

off between good matching and:

hi h f

f

hi h f

f

••high frequency performance,

high frequency performance,

••chip area.

chip area.

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

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Averaging of variations of V

Averaging of variations of V

Th

Th

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

Averaging of variations of V

Averaging of variations of V

Th

Th

C

t id l

t

ff ti l

d

i

t h

C

t id l

t

ff ti l

d

i

t h

lti

lti

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Common centroid layout very effectively reduces mismatch

Common centroid layout very effectively reduces mismatch resulting

resulting

from local deterministic variations

from local deterministic variations

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MOS transistor matching

MOS transistor matching

MOS transistor matching

MOS transistor matching

For purely random variations

For purely random variations of

of

VV the probability density

the probability density

VV

Th

Th

the probability density

the probability density

functions of all four

functions of all four ΔΔVV

Th

Th

are

are the

the

same. Therefore, it doesn't

same. Therefore, it doesn't

matter whether transistors are

matter whether transistors are

matter whether transistors are

matter whether transistors are

cross

cross--connected or not.

connected or not.

Averaging of variations of V

Averaging of variations of V

Th

Th

C

t id l

t d

NOT d

i

t h

C

t id l

t d

NOT d

i

t h

lti f

lti f

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Common centroid layout does NOT reduce mismatch

Common centroid layout does NOT reduce mismatch resulting from

resulting from

local random variations

local random variations

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Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability:

Design for Manufacturability:

••requires good understanding of the

requires good understanding of the sources of disturbances,

sources of disturbances,

••involves various design trade

involves various design trade--offs,

offs,

••is still considered

is still considered „„more art than

more art than Science

Science””

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Wojciech Kucewicz

38

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Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability -- phase 1

phase 1

•• Selection and design of a circuit which is

Selection and design of a circuit which is inherently insensitive

inherently insensitive

gg

yy

to global variations of

to global variations of device parameters.

device parameters.

•• Design of a layout which does not violate design

Design of a layout which does not violate design rules and (if

rules and (if

)

i l

i t iti

l

)

i l

i t iti

l

t bt i

d d i

t bt i

d d i

necessary) uses simple intuitive rules

necessary) uses simple intuitive rules to obtain good device

to obtain good device

matching.

matching.
•• Verification of formal and functional correctness

Verification of formal and functional correctness of the design

of the design

Verification of formal and functional correctness

Verification of formal and functional correctness of the design

of the design

(DRC, circuit extraction, LVS and

(DRC, circuit extraction, LVS and post

post--layout circuit simulation

layout circuit simulation

with nominal values

with nominal values of device parameters).

of device parameters).

24 lutego 2010

Wojciech Kucewicz

39

background image

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability -- phase 2:

phase 2:

V ifi ti d ti i ti f th d i ith

V ifi ti d ti i ti f th d i ith

t t

t t

Verification and optimization of the design with

Verification and optimization of the design with respect to

respect to

secondary parasitic effects such as:

secondary parasitic effects such as:

••Thermal effects

Thermal effects

Thermal effects

Thermal effects

••Parasitic coupling, switching noise

Parasitic coupling, switching noise

••RF stability

RF stability

••RF stability

RF stability

••Signal propagation effects in long interconnects

Signal propagation effects in long interconnects

24 lutego 2010

Wojciech Kucewicz

40

background image

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability

Design for Manufacturability -- phase 3:

phase 3:

V ifi ti d i i i ti f

iti it t

V ifi ti d i i i ti f

iti it t

f t i

f t i

Verification and minimization of sensitivity to

Verification and minimization of sensitivity to manufacturing

manufacturing

imperfections:

imperfections:

••Worst case analysis (simulations for

Worst case analysis (simulations for process

process

Worst case analysis (simulations for

Worst case analysis (simulations for „„process

process

Corners

Corners””))
••Simple statistical Monte Carlo analysis

Simple statistical Monte Carlo analysis

••Simple statistical Monte Carlo analysis

Simple statistical Monte Carlo analysis

••Mismatch oriented statistical Monte Carlo

Mismatch oriented statistical Monte Carlo analysis

analysis

Netlist driven statistical process

Netlist driven statistical process device

device circuit

circuit Monte Carlo

Monte Carlo

••Netlist driven statistical process

Netlist driven statistical process--device

device--circuit

circuit Monte Carlo

Monte Carlo

simulation

simulation

24 lutego 2010

Wojciech Kucewicz

41

background image

Conclusions

Conclusions

Conclusions

Conclusions

Methods of design for manufacturability are still not

Methods of design for manufacturability are still not part of the

part of the

standard engineering practices, in most

standard engineering practices, in most cases only simplest of them

cases only simplest of them

d

d

are used

are used
Understanding of the sources of variations and

Understanding of the sources of variations and mismatch and their

mismatch and their

effects on circuit performance

effects on circuit performance are necessary

are necessary blind

blind”” use of

use of

effects on circuit performance

effects on circuit performance are necessary,

are necessary, „„blind

blind use of

use of

methods and tools

methods and tools does not guarantee good results

does not guarantee good results

Special tools exist but are not always mature and are

Special tools exist but are not always mature and are seldom

seldom

p

y

p

y

available in standard commercial CAD toolsets

available in standard commercial CAD toolsets

24 lutego 2010

Wojciech Kucewicz

42


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