SPICE Model Parameter Calculation for CS Design Example, Assignments of English

The steps to calculate spice model parameters for a given cs design example using mathcad. It includes the calculation of various parameters such as tox, cox, and w, as well as the determination of the optimal capacitance value for maximum frequency (ft) by minimizing the inductor value.

Typology: Assignments

2020/2021

Uploaded on 01/09/2021

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C:\Users\Bernhard Boser\Dropbox
\iPad\105\assignments\HW11.mcd 10/31/2012 Page 1 of 1
kpn nCox
 kpn 400 A
V2
Vdsat 2 fT
L2
n
 Vdsat 254.469mVmin
current
gm
ID
2
VGS VTH
=IDgmVdsat
2
 ID127.235Amin
finally, get W:
ID1
2n
Cox
W
L
VGS VTH

2
=
W2I
D
L
Vdsat2n
Cox
 W 1.768mW
L9.824
SPICE model parameter calculation:
o8.854 pF
m
r3.9 Cox or
tox
=tox ro
Cox
 tox 3.453nm
Reference:C:\Users\Bernhard Boser\Documents\Files\Lib\MathCAD\Default\defaults.mcd
L17: CS Design Example
CS with Rs
avo 10 RL10k Rs5M BW 10MHz
gmavo
RL
 gm1mS
BW 1
2 Rs
CGS
=CGS 1
2 BWRs
 CGS 3.183fFmax!
fT1
2
gm
CGS
 fT50GHzmin! choose minimum L to maximize fT: L 180nm
get fT from measurements (or SPICE). Approximation:
fT1
2
VGS VTH

L2
=
n400 cm2
Vs
 Cox 10 fF
m2


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C:\Users\Bernhard Boser\Dropbox \iPad\105\assignments\HW11.mcd

10/31/2012 Page 1 of 1

kpn  n C (^) ox kpn 400

A

V 2

V (^) dsat

2   fT L 2 n

 V (^) dsat  254.469 mV min

current

gm ID

V GS V TH

= ID

gm V (^) dsat 2  ID  127.235 A min

finally, get W:

ID

 n C (^) ox

W

L

=   V GS V TH^2

W

2  IDL

V (^) dsat^2  nC (^) ox

 W  1.768 m

W

L

SPICE model parameter calculation:

o 8. pF m  r  3.9 C (^) ox

o r tox = tox

r o C (^) ox  tox 3.453 nm

Reference:C:\Users\Bernhard Boser\Documents\Files\Lib\MathCAD\Default\defaults.mcd

L17: CS Design Example

CS with Rs

avo  10 R (^) L  10k R (^) s  5M BW 10MHz

gm

avo R (^) L  gm 1 mS

BW

2   R (^) sC (^) GS

= C GS

2   BWR (^) s

 C (^) GS  3.183 fF max!

fT

gm C (^) GS   fT  50 GHz min!^ choose minimum L to maximize fT:^ L 180nm

get fT from measurements (or SPICE). Approximation:

fT

  V GS V TH

L 2

n 400 cm^2 V s   C (^) ox 10 fF m