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Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x The Bipolar Transistor L A N R Y D UMBC A B M A L T F O U M B C I M Y O R T 1 (December 1,

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SLIDE 1

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 1 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor

  • ✁✂
✄✆☎ ✝ ✞ ✟✆✠
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SLIDE 2

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 2 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor

✡ ✁✂ ✄✆☎ ✝ ✞

QF(t = 0) QF0 IC(t = 0) τF × = = IC(t = 0) βF IB(t = 0) × βF V0 VBE on

( )

– ( ) RB

  • =

= IB VBE on

( )

– ( ) RB

  • =
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SLIDE 3

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 3 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor

☛ ☛ ☛

IB QF τBF

  • dQF

dt

  • +

= QF t ( ) τBF IB IB(t = 0) IB – ( )e

t – τBF ⁄

– = tbase τBF IB t = 0 ( ) IB – IB –

     ln =

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SLIDE 4

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 4 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor

✁ ☞

tbase ∆QF IB

  • QF0

IB

  • –

τBF IB(t = 0) IB

  • –

CD∆V IB

  • ReqCD

= = = = = tspace 2.2RB Cbe Cbc + ( ) =

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SLIDE 5

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 5 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor

✡ ✂

βF 100 = VBE on

( )

0.75V = Cbe0 20 fF = Cbc0 22 fF = Ccs0 47 fF = m 0.33 = φ0 0.75V = VCC 2V = V0 1V = RB 5kΩ = τF 10ps = IB(t = 0) 1 0.75 – ( ) 5

3

×10

  • 50µA

= = IB 0.75 – ( ) 5

3

×10

  • 150µA

– = =

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SLIDE 6

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 6 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor tbase τBF IB t = 0 ( ) IB – IB –

     ln 100 10ps × ( ) 200µA 150µA

   ln 288ps = = = βF IC IB

  • τBF

τF

  • =

= tbase τBF IB(t = 0) IB

  • –

100 10ps × ( ) – 50µA 150µA –

  • 333ps

= = =

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SLIDE 7

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 7 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor

✌✆✍ ✌✆✎ ✌ ✍ ✎ ✏ ✄ ✌✆✎ ✞ ✎ ✏ ✄ ✌✆✍ ✞ ✑ ✎ ✒ ✓

Keq be

( )

φ0

m

Vhigh Vlow – ( ) 1 m – ( )

  • φ0

Vhigh – ( )1

m –

φ0 Vlow – ( )1

m –

– [ ] = Keq be

( )

0.750.33 0.75 – ( ) 1 0.33 – ( )

  • 0.75

0.75 – ( )1

0.33 –

0.75 – ( )1

0.33 –

– [ ] 1.5 = = tdepl 2.2RB Cbe Cbc + ( ) = tdepl 2.2 5

3

×10 ( )Ω 1.5 20 fF × 0.68 22 fF × + ( ) 495ps = =

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SLIDE 8

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 8 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Bipolar Transistor

✔ ✕ ✌✆✖ ✗ ✎ ✑ ✎ ✒ ✓ ✘
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SLIDE 9

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 9 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Actual Bipolar Transistor

✁

τ

☛

IC qAEDbnb0 W

  • e

VBE φT ⁄

ISe

VBE φT ⁄

= =

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SLIDE 10

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 10 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Actual Bipolar Transistor

✡ ✂ ✙

λ

✡ ✚ ✡ ✂ ✁✂ ✛ ✁✂ ✜ ✁✂ ✢

IC IS 1 VCE V A

  • +

      e

VBE φT ⁄

=

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SLIDE 11

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 11 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Actual Bipolar Transistor

✡ ✁✣ ✡ ✂
  • ✂
✁✣
slide-12
SLIDE 12

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 12 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Actual Bipolar Transistor

✡ ✛ ✡ ✜ ✡ ✢ ✡ ✢

Ω Ω

✤ ✥ ✥ ✥ ✥ ✥ ✥ ✦ ✧ ★✩ ★ ✪ ★ ✫ ✥
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SLIDE 13

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 13 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Actual Bipolar Transistor

✁

Ω

✗
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SLIDE 14

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 14 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Actual Bipolar Transistor β

☛

β

☛ ✁✂

β

☛ ✁ ✂ ✬ ☛

β

☛ ✁ ✡ ✁✂
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SLIDE 15

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 15 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

The Actual Bipolar Transistor β

☛ ✁✂

IC ISe

VBE nφT ( ) ⁄

=

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SLIDE 16

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 16 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

Bipolar SPICE Models

✡ ✡✭ ✡ ✂ ✁ ✡ ✮ ✥ ✁ ✡ ✁ ✂ ✁ ✡ ✮ ✥ ✂ ✁ ✁✂ ✁ ✡ ✡ ✂ ✡ ✁ ✁ ✡
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SLIDE 17

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 17 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

Bipolar SPICE Models

✙

IC IS e

VBE nFφT ( ) ⁄

e

VBC nRφT ( ) ⁄

–     1 VBC V A

  • –

      IS βR

  • e

VBC nRφT ( ) ⁄

1 –     – = IB IS βF

  • e

VBE nFφT ( ) ⁄

1 –     IS βR

  • e

VBC nRφT ( ) ⁄

1 –     + =

✭ ✙ ☛ ✯
slide-18
SLIDE 18

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 18 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

Bipolar SPICE Models

✁ ✂ ✁ ✡
slide-19
SLIDE 19

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 19 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

Bipolar SPICE Models Parameter Name Symbol SPICE name Units Default Value

✰

IS A 1.0E-016 β

✱

BF

  • 100
✱

NF

  • 1
✲ ✱

VAF V β

✱

BR

  • 1
✳

NR

  • 1
✲ ✳

VAR V inf

✴ ✱

IKF A inf ISE A 1.0E-13 NE

  • 1.5
✴ ✳

IKR A inf NC A 1.0E-13 NC

  • 2

τ

✱

TF sec τ

✳

TR sec

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SLIDE 20

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 20 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

Bipolar SPICE Models Parameter Name Symbol SPICE name Units Default Value

✵

RE Ohms

✶

RC Ohms

✷

RB Ohms RBM Ohms IRB A inf

✸✆✹ ✺

CJE F

✸✆✹

MJE

  • 0.33

φ

✸✆✹

VJE V 0.75

✸✆✻ ✺

CJC F

✸✆✻

MJC

  • 0.33

φ

✸✆✻

VJC V 0.75

✻✼ ✺

CJS F

✻✼

MJS

  • φ
✻✼

VJS V 0.75

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SLIDE 21

Advanced VLSI Design Details of the Bipolar Transistor III CMPE 414/CMSC 691x 21 (December 1, 2002 10:49 pm)

UMBC

U M B C U N I V E R S I T Y O F M A R Y L A N D B A L T I M O R E C O U N T Y 1 9 6 6

Bipolar SPICE Models µ Q1 2 1 0 NPN Q2 2 1 0 5 NPN 4 * SPICE Model for 2 x 3.75 npn transistor .MODEL BF=100 BR=1 IS=1.0E-17 VAF=50 TF=10E-12 + TR=5E-9 IKF=2E-2 IKR=0.5 RE=20 RC=75 RB=120 + CJE=20E-15 VJE=0.8 MJE=0.5 CJC=22E-15 VJC=0.7 + MJC=0.33 CJS=47E-15 VJS=0.7 MJS=0.33