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Ext
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ticle
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2
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o
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ter
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m
it
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sc
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li
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o
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a
d
v
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n
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d
M
OSF
ET
s
.
I
n
t
h
is
wo
r
k
,
a
n
it
e
ra
ti
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e
m
e
th
o
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is
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ro
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n
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ra
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ti
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m
e
ter
in
sh
o
rt
c
h
a
n
n
e
l
M
OS
F
ET
s.
It
a
lso
a
ll
o
ws
u
s
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e
x
trac
t
th
e
su
rfa
c
e
ro
u
g
h
n
e
ss
a
m
p
li
tu
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e
.
Th
e
p
ri
n
c
ip
le
o
f
t
h
is
m
e
th
o
d
is
b
a
se
d
o
n
t
h
e
e
x
p
o
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e
n
ti
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l
m
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e
l
o
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ffe
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ti
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ty
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d
t
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lea
st
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re
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ro
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two
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n
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ly
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a
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n
s
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r
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o
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tain
e
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e
term
in
e
th
e
se
ries
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sista
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e
a
n
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th
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l
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m
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ty
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s
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n
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ti
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m
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a
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m
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ter
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imiz
e
th
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t
m
e
a
n
s
sq
u
a
re
d
e
rro
r
(RM
S
E)
v
a
l
u
e
.
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e
re
su
l
ts
o
b
tai
n
e
d
b
y
th
is
tec
h
n
iq
u
e
fo
r
a
sin
g
le
sh
o
rt
c
h
a
n
n
e
l
d
e
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ice
h
a
v
e
sh
o
w
n
th
e
g
o
o
d
a
g
re
e
m
e
n
t
with
m
e
a
su
re
m
e
n
ts d
a
ta at stro
n
g
in
v
e
rsio
n
.
K
ey
w
o
r
d
s
:
Id
-
Vg
ch
a
r
ac
ter
is
tic
Mo
b
ilit
y
d
eg
r
a
d
atio
n
Mo
b
ilit
y
m
o
d
elin
g
MO
SF
E
T
Ser
ies r
esis
tan
ce
Su
r
f
ac
e
r
o
u
g
h
n
ess
T
h
is i
s
a
n
o
p
e
n
a
c
c
e
ss
a
rticle
u
n
d
e
r th
e
CC B
Y
-
SA
li
c
e
n
se
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
No
u
r
ed
d
i
n
e
Ma
o
u
h
o
u
b
,
L
ab
o
r
ato
r
y
o
f
E
lectr
o
n
ics,
Sig
n
al
Pro
ce
s
s
in
g
an
d
Ph
y
s
ical
Mo
d
elin
g
,
Dep
ar
tm
en
t o
f
Ph
y
s
ics,
I
b
n
Z
o
h
r
Un
i
v
er
s
ity
,
Facu
lty
o
f
Scien
ce
s
,
Mo
r
o
cc
o
.
E
m
ail:
n
.
m
ao
u
h
o
u
b
@
u
iz.
ac
.
m
a
1.
I
NT
RO
D
UCT
I
O
N
Mo
b
ilit
y
d
eg
r
ad
atio
n
p
h
en
o
m
en
a
an
d
p
a
r
asit
ic
s
o
u
r
ce
-
an
d
-
d
r
ain
s
er
ies
r
esis
tan
ce
ar
e
two
p
ar
am
eter
s
o
f
s
p
ec
ial
im
p
o
r
ta
n
ce
f
o
r
MO
SF
E
T
ch
ar
ac
ter
izatio
n
.
T
h
ese
two
p
ar
am
ete
r
s
lim
it
s
ca
lin
g
o
f
ad
v
an
ce
d
d
e
v
ices
an
d
p
r
o
d
u
ce
ef
f
ec
ts
o
n
th
e
d
e
v
ice’
s
tr
an
s
f
er
d
r
ain
c
u
r
r
en
t
-
g
ate
v
o
ltag
e
c
h
ar
ac
ter
is
tics
.
Acc
u
r
at
e
m
o
d
elin
g
a
n
d
ex
tr
ac
tio
n
o
f
th
ese
p
ar
am
ete
r
s
h
av
e
a
m
o
s
t im
p
o
r
tan
ce
f
o
r
M
OSFET
.
Acc
o
r
d
in
g
th
e
liter
atu
r
e,
s
ev
e
r
al
m
eth
o
d
s
an
d
p
r
o
ce
d
u
r
es
h
av
e
b
ee
n
p
r
o
p
o
s
ed
to
ex
tr
ac
t
th
e
s
er
ies
r
esis
tan
ce
an
d
th
e
m
o
b
ilit
y
d
eg
r
ad
atio
n
p
a
r
am
eter
s
[1
-
1
5
]
.
An
o
th
er
m
eth
o
d
s
w
er
e
p
r
o
p
o
s
ed
to
ex
tr
ac
t
th
ese
p
ar
am
eter
s
u
s
in
g
a
n
o
v
el
test
s
tr
u
ctu
r
es,
s
u
ch
as
th
e
m
u
ltifin
g
er
MO
SF
E
T
[
1
6
-
1
7
]
,
th
e
Fi
n
FET
[
1
8
]
an
d
th
e
am
o
r
p
h
o
u
s
MO
SF
E
T
[
1
9
-
2
0
]
.
R
ec
en
tly
,
in
wo
r
k
s
[
2
1
]
,
a
r
ev
iew
o
f
DC
ex
tr
ac
tio
n
m
et
h
o
d
s
f
o
r
MO
SF
E
T
p
ar
asit
ic
s
er
ies
r
esis
ta
n
ce
an
d
m
o
b
ilit
y
d
eg
r
ad
atio
n
m
o
d
el
p
ar
am
eter
s
h
as
b
ee
n
p
r
esen
ted
.
I
n
th
e
p
r
ev
io
u
s
wo
r
k
,
Or
tiz
et
al
h
av
e
p
r
esen
ted
an
d
cr
itically
co
m
p
ar
ed
a
to
tal
o
f
eig
h
teen
ex
tr
ac
tio
n
p
r
o
ce
d
u
r
es;
s
o
m
e
o
f
th
ese
m
eth
o
d
s
u
s
e
s
ev
er
al
d
e
v
ices
with
d
if
f
er
e
n
t
m
ask
ch
an
n
el
len
g
t
h
s
an
d
o
th
e
r
m
eth
o
d
s
n
ee
d
a
s
in
g
l
e
d
ev
ice
b
u
t
u
n
d
er
d
if
f
er
e
n
t
d
r
ai
n
b
iases
.
R
o
d
r
ig
u
ez
-
Dav
ila
et
al
p
r
o
p
o
s
ed
a
n
ew
in
teg
r
atio
n
-
b
ases
ed
p
r
o
ce
d
u
r
e
to
ex
tr
ac
t th
e
m
o
b
ilit
y
en
h
an
c
em
en
t f
ac
to
r
,
an
d
t
h
e
s
er
ies r
esis
tan
ce
o
f
th
in
-
f
ilm
MO
SF
E
T
s
[
2
2
]
.
I
n
th
is
p
ap
er
we
p
r
esen
t
a
n
it
er
ativ
e
m
eth
o
d
b
ased
o
n
ex
p
o
n
en
tial
m
o
d
el
o
f
m
o
b
ilit
y
a
n
d
an
aly
tical
ap
p
r
o
ac
h
u
s
in
g
least
s
q
u
ar
es
m
eth
o
d
.
W
e
f
o
r
m
u
late
two
an
aly
tical
ex
p
r
ess
io
n
s
as
f
u
n
ctio
n
o
f
th
e
m
o
b
ilit
y
atten
u
atio
n
p
ar
am
eter
.
T
h
is
p
a
r
am
eter
is
th
e
n
e
x
tr
ac
ted
iter
a
tiv
ely
at
t
h
e
m
in
i
m
u
m
o
f
th
e
r
o
o
t
m
ea
n
s
s
q
u
ar
e
d
Evaluation Warning : The document was created with Spire.PDF for Python.
C
o
m
p
u
t.
Sci.
I
n
f
.
T
ec
h
n
o
l.
E
xtra
ctio
n
o
f ser
ies r
es
is
ta
n
ce
a
n
d
mo
b
ilit
y
d
eg
r
a
d
a
tio
n
p
a
r
a
mete
r
in
MOS
F
E
Ts
…
(
N
o
u
r
e
d
d
in
e
Ma
o
u
h
o
u
b
)
27
er
r
o
r
.
T
h
e
ad
v
an
tag
e
o
f
th
is
m
eth
o
d
th
at
is
u
s
ed
o
n
ly
a
s
in
g
l
e
test
d
ev
ice
an
d
o
n
e
d
r
ain
b
iase a
n
d
alo
w
u
s
al
s
o
to
ex
tr
ac
t th
e
s
u
r
f
ac
e
r
o
u
g
h
n
ess
am
p
litu
d
e.
T
h
e
p
ap
er
is
o
r
g
an
ize
d
as
f
o
l
lo
ws:
Sectio
n
2
p
r
esen
ts
th
e
m
o
d
elin
g
o
f
th
e
d
r
ain
cu
r
r
en
t
u
s
in
g
th
e
m
o
d
el
o
f
ef
f
ec
tiv
e
m
o
b
ilit
y
an
d
we
f
o
r
m
u
late
th
e
ex
tr
ac
tio
n
tech
n
iq
u
e.
T
h
e
v
alid
atio
n
o
f
th
e
p
r
o
p
o
s
ed
m
eth
o
d
u
s
in
g
ex
p
er
im
en
t
d
at
a
o
f
s
in
g
le
d
ev
ice
is
s
h
o
wn
i
n
s
ec
tio
n
3
.
Fin
ally
,
th
e
p
ap
e
r
is
clo
s
ed
b
y
th
e
co
n
clu
s
io
n
o
f
s
ec
tio
n
4
.
2.
M
O
DE
L
I
NG
AN
D
E
X
T
RA
CT
I
O
N
T
E
CH
N
I
Q
UE
2
.
1
.
Dra
in
curr
ent
mo
delin
g
T
h
e
d
r
ain
cu
r
r
e
n
t I
d
,
at
v
er
y
s
m
all
d
r
ain
b
ias,
ca
n
b
e
ex
p
r
ess
ed
in
ter
m
s
o
f
in
tr
in
s
ic
v
o
ltag
e
s
as:
(
1
)
W
h
er
e
W
is
th
e
ch
a
n
n
el
wid
th
,
L
is
th
e
c
h
an
n
el
len
g
th
,
C
o
x
is
th
e
o
x
id
e
ca
p
ac
itan
ce
,
μ
eff
is
th
e
ef
f
ec
tiv
e
f
r
ee
-
ca
r
r
ier
m
o
b
ilit
y
,
V
G
is
th
e
in
tr
in
s
ic
g
ate
v
o
lt
ag
e,
V
D
th
e
in
tr
in
s
ic
d
r
ain
v
o
ltag
e
an
d
V
t
is
th
e
th
r
esh
o
ld
v
o
ltag
e.
I
f
th
e
s
o
u
r
c
e
-
an
d
-
d
r
ain
s
er
i
es
r
esis
tan
ce
is
s
ig
n
if
ican
t,
th
e
d
ev
ice’
s
in
tr
i
n
s
ic
g
ate
an
d
d
r
ain
v
o
ltag
es a
r
e:
(
2
)
(
3
)
W
h
er
e
V
g
an
d
V
d
ar
e
th
e
ex
t
er
n
ally
ap
p
lied
g
ate
an
d
d
r
ai
n
v
o
ltag
es,
r
esp
ec
tiv
ely
,
R
sd
i
s
th
e
to
tal
s
o
u
r
c
e
-
an
d
-
d
r
ain
s
er
ies r
esis
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o
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tr
ated
.
RE
F
E
R
E
NC
E
S
[1
]
A.
Ortiz
-
Co
n
d
e
,
J.J.
Li
o
u
,
W.
W
o
n
g
,
F
.
J.
G
a
rc
ía
-
S
á
n
c
h
e
z
,
“
A
si
m
p
le
m
e
th
o
d
to
e
x
trac
t
th
e
d
i
ffe
re
n
c
e
o
f
th
e
d
ra
i
n
a
n
d
so
u
rc
e
se
ries
re
sista
n
c
e
s in
M
OSF
ET
s
”
,
El
e
c
tro
n
.
L
e
tt
.
3
0
,
p
p
.
1
0
1
3
-
1
0
1
5
,
1
9
9
4
.
[2
]
A.
Ortiz
-
Co
n
d
e
,
F
.
J.
G
a
rc
ía
-
S
á
n
c
h
e
z
,
J.J.
Li
o
u
,
“
An
imp
r
o
v
e
d
m
e
th
o
d
fo
r
e
x
trac
ti
n
g
th
e
d
iffere
n
c
e
b
e
twe
e
n
d
ra
in
a
n
d
so
u
rc
e
re
sista
n
c
e
s in
M
OSF
E
Ts
”
,
S
o
l
id
S
ta
te E
lec
tro
n
.
39
,
p
p
.
419
-
4
2
1
,
1
9
9
6
.
[3
]
G
.
Niu
,
J.D.
Cre
ss
ler,
S
.
J.
M
a
t
h
e
w,
S
.
S
u
b
b
a
n
n
a
,
“
A
to
tal
re
si
sta
n
c
e
slo
p
e
-
b
a
se
d
e
ffe
c
ti
v
e
c
h
a
n
n
e
l
m
o
b
il
it
y
e
x
trac
ti
o
n
m
e
th
o
d
f
o
r
d
e
e
p
su
b
m
icro
n
C
M
OS
tec
h
n
o
l
o
g
y
”
,
I
EE
E
T
r
a
n
s.
El
e
c
tro
n
De
v
.
4
6
,
p
p
.
1
9
1
2
-
1
9
1
4
,
1
9
9
9
.
[4
]
A.
EL
A
b
b
a
ss
i
,
Y.
A
m
h
o
u
c
h
e
,
E.
B
e
n
d
a
d
a
,
R
.
R
m
a
il
y
a
n
d
K.
R
a
is.
“
Ch
a
ra
c
teriz
a
ti
o
n
o
f
se
ries
re
sista
n
c
e
a
n
d
m
o
b
il
it
y
a
t
ten
u
a
ti
o
n
p
h
e
n
o
m
e
n
a
in
s
h
o
rt
c
h
a
n
n
e
l
M
OS
tran
sisto
r
s”
.
Active
a
n
d
P
a
ss
ive
El
e
c
tro
n
i
c
Co
mp
o
n
e
n
ts
,
v
o
l.
2
4
,
n
o
1
,
p
p
.
1
3
-
2
2
,
2
0
0
1
.
[5
]
G
.
S
.
Ka
r,
S
.
M
a
ik
a
p
,
S
.
K.
Ba
n
e
rjee
,
S
.
K.
Ra
y
,
“
S
e
ries
re
sista
n
c
e
a
n
d
m
o
b
il
it
y
d
e
g
ra
d
a
ti
o
n
fa
c
to
r
i
n
C
-
in
c
o
rp
o
ra
te
d
S
iG
e
h
e
tero
stru
c
tu
re
p
-
ty
p
e
m
e
tal
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o
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d
e
se
m
ico
n
d
u
c
t
o
rfield
-
e
ffe
c
t
tran
sisto
rs
”
,
S
e
mic
o
n
d
.
S
c
i.
T
e
c
h
n
o
l
.
1
7
,
p
p
.
938
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9
4
1
,
2
0
0
2
.
[6
]
F
.
J.
G
a
rc
ía
-
S
á
n
c
h
e
z
,
A.
Ortiz
-
Co
n
d
e
,
A.
Ce
rd
e
ira,
M
.
Estrad
a
,
D.
F
lan
d
re
,
J
.
J.
Li
o
u
,
“
A
m
e
th
o
d
t
o
e
x
trac
t
m
o
b
il
i
ty
d
e
g
ra
d
a
ti
o
n
a
n
d
to
tal
se
ries
re
sista
n
c
e
o
f
fu
l
ly
-
d
e
p
lete
d
S
OI
M
OSF
ET
s
”
,
IEE
E
T
ra
n
s.
El
e
c
tro
n
De
v
.
4
9
,
pp.
82
-
88
,
2
0
0
2
.
[7
]
D.W
.
Li
n
,
M
.
L
.
Ch
e
n
g
,
S
.
W.
Wa
n
g
,
C
.
C.
Wu
,
M
.
J.
C
h
e
n
,
“
A
c
o
n
st
a
n
t
-
m
o
b
il
it
y
m
e
th
o
d
t
o
e
n
a
b
le
M
OSF
ET
se
ries
-
re
sista
n
c
e
e
x
trac
ti
o
n
”
,
IEE
E
El
e
c
t
ro
n
De
v
.
L
e
tt
.
2
8
,
p
p
.
1
1
3
2
-
1
1
3
4
,
2
0
0
7
.
[8
]
W.
P
.
N.
C
h
e
n
,
P
.
S
u
,
K
.
I.
G
o
t
o
,
C.
H.
Día
z
,
“
S
e
ries
re
sista
n
c
e
a
n
d
m
o
b
il
it
y
e
x
trac
ti
o
n
m
e
th
o
d
in
n
a
n
o
sc
a
le
M
OSF
ET
s
”
,
J
.
E
lec
tro
c
h
e
m.
S
o
c
.
1
5
6
,
p
p
.
H3
4
-
H3
8
,
2
0
0
9
.
[9
]
A.
Ortiz
-
Co
n
d
e
,
F
.
J.
G
a
rc
ía
S
á
n
c
h
e
z
,
J.
M
u
c
i,
D.C.
Lu
g
o
M
u
ñ
o
z
,
A.D.
Lato
rre
Re
y
,
C.
-
S.
Ho
,
J.J.
Li
o
u
,
“
In
d
irec
t
fit
ti
n
g
p
r
o
c
e
d
u
re
to
se
p
a
ra
te
th
e
e
ffe
c
ts
o
f
m
o
b
il
it
y
d
e
g
ra
d
a
ti
o
n
a
n
d
so
u
rc
e
-
a
n
d
-
d
ra
in
re
sista
n
c
e
in
M
OSF
E
T
p
a
ra
m
e
ter ex
trac
ti
o
n
”
,
M
icr
o
e
lec
t
ro
n
.
Rel
ia
b
.
4
9
,
p
p
.
6
8
9
-
6
9
2
,
2
0
0
9
.
[1
0
]
J.
M
u
c
i,
D.
L
u
g
o
M
u
ñ
o
z
,
A.
L
a
to
rre
Re
y
,
A.
Ortiz
-
Co
n
d
e
,
F
.
J.
Ga
rc
ía
-
S
á
n
c
h
e
z
,
C.
-
S
.
Ho
,
J.J.
Li
o
u
,
“
A
n
e
w
in
teg
ra
ti
o
n
-
b
a
se
d
p
r
o
c
e
d
u
re
to
se
p
a
ra
tely
e
x
trac
t
se
ries
re
sista
n
c
e
a
n
d
m
o
b
i
li
ty
d
e
g
ra
d
a
ti
o
n
i
n
M
OS
F
ET
s
”
,
S
e
mic
o
n
d
.
S
c
i
.
T
e
c
h
n
o
l
.
2
4
,
p
.
1
0
5
0
1
5
,
2
0
0
9
.
[1
1
]
J.
M
u
c
i
,
A.
Lato
rre
-
Re
y
,
F
.
J
.
G
a
rc
ía
-
S
á
n
c
h
e
z
,
D.
L
u
g
o
-
M
u
ñ
o
z
,
A.
Ortiz
-
Co
n
d
e
,
C
.
Ho
,
J.J.
Li
o
u
,
M
.
A.
P
a
v
a
n
e
ll
o
,
R.
Do
ria,
“
E
x
trac
ti
o
n
o
f
m
o
b
il
it
y
d
e
g
ra
d
a
ti
o
n
a
n
d
s
o
u
rc
e
-
a
n
d
d
ra
in
re
sista
n
c
e
i
n
M
OSF
ET
s
”
,
J
.
In
teg
r.
C
irc
u
it
s a
n
d
S
y
st
.
5
,
p
p
.
1
0
3
-
10
9
,
2
0
1
0
.
[1
2
]
N.
M
a
o
u
h
o
u
b
,
K
.
Ra
is,
“
Ch
a
ra
c
teriz
a
ti
o
n
o
f
se
ries
re
sista
n
c
e
a
n
d
m
o
b
il
it
y
d
e
g
ra
d
a
ti
o
n
p
a
ra
m
e
ter
a
n
d
o
p
ti
m
izin
g
c
h
o
ice
o
f
o
x
i
d
e
t
h
ick
n
e
ss
i
n
th
i
n
o
x
i
d
e
N
-
c
h
a
n
n
e
lM
O
S
F
E
T
”
,
Active
a
n
d
P
a
ss
ive
El
e
c
tro
n
.
C
o
mp
o
n
.,
p
.
7
1
3
1
2
9
,
2
0
1
1
.
[1
3
]
Y.
-
H.
Ch
a
n
g
,
Y.
-
J.
Li
u
,
“
A
se
lf
-
c
o
n
siste
n
t
e
x
trac
ti
o
n
p
r
o
c
e
d
u
re
fo
r
so
u
rc
e
/d
ra
i
n
re
sista
n
c
e
i
n
M
O
S
F
ET
s
”
,
M
icr
o
e
lec
tro
n
.
Relia
b
.
5
1
,
p
p
.
2
0
4
9
-
2
0
5
2
,
2
0
1
1
.
[1
4
]
T.
Ch
u
,
R.
A.
Ve
g
a
,
E.
Al
p
tek
i
n
,
D.
G
u
o
,
H.
S
h
a
n
g
,
“
Un
d
e
rsta
n
d
in
g
sh
o
rt
c
h
a
n
n
e
l
m
o
b
il
it
y
d
e
g
ra
d
a
t
io
n
b
y
a
c
c
u
ra
te
e
x
tern
a
l
re
sista
n
c
e
d
e
c
o
m
p
o
siti
o
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-
C.
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o
,
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[1
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.
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M
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S
.
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rp
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-
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a
g
a
,
“
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OSF
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T
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v
.
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.
[1
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]
P.
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S
u
,
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L
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“
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in
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.
[1
9
]
S
.
Ju
n
,
H.
Ba
e
,
H.
Kim
,
J.
Lee
,
S
.
–
.
J.
Ch
o
i,
D
.
H.
Kim
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D.
M
.
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m
,
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in
a
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.
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]
A.
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rd
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ira,
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.
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a
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F
.
M
a
rsa
l,
J.
P
a
ll
a
re
s,
B.
Iñ
ig
u
e
z
,
“
On
t
h
e
se
ries
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sista
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re
d
a
m
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M
icr
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lec
tro
n
.
Relia
b
.
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,
p
p
.
3
2
5
-
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5
,
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0
1
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.
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1
]
A.
Ortiz
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Co
n
d
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t
a
l.
,
“
A
re
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f
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e
th
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s
f
o
r
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OSF
ET
se
rie
s
re
sista
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n
d
m
o
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ra
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ti
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ra
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ters
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,
M
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tro
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.
Rel
.
,
v
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l.
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p
p
.
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-
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b
.
2
0
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.
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2
]
Ro
d
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R
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d
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g
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v
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a
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d
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rlo
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a
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l
A.
Qu
e
v
e
d
o
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p
e
z
,
“
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Ne
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te
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ra
ti
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n
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se
d
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r
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re
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trac
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re
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tag
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t
h
e
M
o
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a
n
c
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a
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to
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n
d
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h
e
S
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ries
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sista
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e
o
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Th
in
F
il
m
M
OSF
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Ts
”
.
IEE
E
T
ra
n
s.
El
e
c
tro
n
De
v
,
6
6
,
p
p
.
2
9
7
9
-
2
9
8
5
,
2
0
1
9
.
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