I
nd
o
ne
s
ia
n J
o
ur
na
l o
f
E
lect
rica
l En
g
ineering
a
nd
Co
m
pu
t
er
Science
Vo
l.
23
,
No
.
2
,
A
u
g
u
s
t
20
21
,
p
p
.
7
2
5
~
7
3
2
I
SS
N:
2
5
0
2
-
4
7
5
2
,
DOI
: 1
0
.
1
1
5
9
1
/ijeecs.v
23
.i
2
.
pp
725
-
7
3
2
725
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ij
ee
cs.ia
esco
r
e.
co
m
Desig
n and
imple
menta
tion o
f
a br
o
a
d
-
ba
nd hig
h ga
in
lo
w nois
e
a
mplifier
for 3
G
/
4
G
appli
ca
tions
Ahm
ed
M
.
Abdelm
o
nem
1
,
Ahm
ed
S.
I
.
Am
a
r
2
,
Am
ir
Al
ms
lm
a
ny
3
,
I
bra
him
L
.
Abda
lla
4
,
F
a
t
hi A.
F
a
ra
g
5
1,
4,
5
El
e
c
tro
n
ics
a
n
d
Co
m
m
u
n
ica
ti
o
n
s E
n
g
i
n
e
e
rin
g
,
Zag
a
z
ig
Un
i
v
e
rsity
,
E
g
y
p
t
2
El
e
c
tro
n
ics
a
n
d
Co
m
m
u
n
ica
ti
o
n
s
En
g
in
e
e
rin
g
,
Ai
n
S
h
a
m
s Un
iv
e
rs
it
y
,
E
g
y
p
t
3
El
e
c
tro
n
ics
a
n
d
Co
m
m
u
n
ica
ti
o
n
s
En
g
in
e
e
rin
g
,
Ale
x
a
n
d
ria U
n
iv
e
rs
it
y
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E
g
y
p
t
Art
icle
I
nfo
AB
S
T
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
Mar
29
,
2
0
2
1
R
ev
is
ed
May
5
,
2
0
2
1
Acc
ep
ted
May
10
,
2
0
2
1
Th
e
m
a
in
a
im
o
f
th
e
p
a
p
e
r
is
d
e
sig
n
i
n
g
a
n
d
imp
lem
e
n
ti
n
g
a
b
ro
a
d
b
a
n
d
l
o
w
-
n
o
ise
-
a
m
p
li
fier
(LNA) b
a
se
d
o
n
c
o
m
p
e
n
sa
ted
m
a
tch
in
g
n
e
two
rk
te
c
h
n
iq
u
e
i
n
o
rd
e
r
to
g
e
t
h
i
g
h
sta
b
le
g
a
in
,
l
o
w
n
o
ise
fi
g
u
re
,
lo
w
c
o
st
,
a
n
d
sm
a
ll
e
r
siz
e
fo
r
3
G
/4
G
c
o
m
m
u
n
ica
ti
o
n
sy
ste
m
a
p
p
li
c
a
ti
o
n
s
a
t
2
G
Hz
with
b
a
n
d
wid
th
6
0
0
M
Hz
.
Th
e
a
d
v
a
n
c
e
d
d
e
sig
n
s
y
st
e
m
(AD
S
)
sim
u
late
s
th
e
p
ro
p
o
s
e
d
c
ircu
it
.
Th
e
imp
lem
e
n
tatio
n
wa
s
d
o
n
e
with
a
c
las
s
A
b
ias
c
ircu
it
a
n
d
a
lo
w
n
o
ise
tran
sisto
r
BF
U
7
3
0
F
with
a
lo
w
e
r
n
o
ise
fi
g
u
re
(NF
min
)
0
.
6
2
d
B.
Co
ll
e
c
to
r
c
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rre
n
t
is
m
e
a
su
re
d
t
o
b
e
5
.
8
m
A
a
n
d
b
a
se
c
u
rre
n
t
is
1
9
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1
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wit
h
a
su
p
p
l
y
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lt
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g
e
o
f
2
.
2
5
V.
T
h
e
n
e
w
d
e
sig
n
p
ro
p
o
se
d
a
(NF
min
)
o
f
0
.
6
2
d
B
with
a
1
7
.
8
d
B
h
ig
h
sta
b
le
a
m
p
l
ifi
e
r
g
a
in
.
T
h
e
m
icro
strip
li
n
e
s
(M
S
L)
a
n
d
c
o
m
p
e
n
sa
ted
m
a
tch
in
g
n
e
two
r
k
tec
h
n
iq
u
e
s
we
re
u
se
d
t
o
imp
ro
v
e
t
h
e
LNA’s
st
a
b
il
it
y
a
n
d
a
c
h
iev
e
a
g
o
o
d
re
su
lt
.
Th
e
LNA
b
o
a
rd
is
im
p
lem
e
n
ted
a
n
d
a
ss
e
m
b
led
o
n
t
h
e
F
R4
b
o
t
to
n
la
y
e
r
m
a
teria
l.
T
h
e
r
e
su
lt
s
a
re
v
ir
tu
a
ll
y
n
o
n
e
x
isten
c
e
e
q
u
i
v
a
len
t
b
e
twe
e
n
th
e
sim
u
late
d
a
n
d
th
e
m
e
a
su
re
d
re
su
lt
s
.
K
ey
w
o
r
d
s
:
3
G/4
G
C
o
m
p
en
s
ated
m
atch
in
g
n
etwo
r
k
Hig
h
s
tab
le
g
ain
L
o
w
co
s
t
L
o
w
n
o
is
e
am
p
lifie
r
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
:
Ah
m
ed
M
.
Ab
d
elm
o
n
em
E
lectr
o
n
ics an
d
C
o
m
m
u
n
icatio
n
s
E
n
g
in
ee
r
in
g
,
Z
ag
az
ig
Un
i
v
er
s
ity
Z
ag
az
ig
Me
etg
h
am
r
Stre
et,
Z
a
g
az
ig
,
E
g
y
p
t
E
m
ail:
b
ak
h
o
m
.
ah
m
e
d
@
g
m
ail.
co
m
1.
I
NT
RO
D
UCT
I
O
N
T
h
e
n
ee
d
f
o
r
3
G/4
G
p
o
r
tab
le
wir
eless
d
ev
ices
h
as
p
r
o
m
p
ted
th
e
in
v
en
tio
n
o
f
a
lo
w
-
n
o
is
e
-
am
p
lifie
r
(
L
NA)
,
as
is
well
r
ec
o
g
n
is
ed
.
I
n
a
wir
eless
s
y
s
tem
,
th
e
L
NA
is
th
e
f
ir
s
t
s
tag
e
o
f
m
o
s
t
wir
eless
r
ec
eiv
er
d
esig
n
.
T
h
e
ef
f
ec
tiv
en
ess
o
f
th
e
L
NA
b
lo
ck
d
eter
m
in
es
t
h
e
R
F
r
ec
eiv
er
'
s
ef
f
icien
cy
.
C
ell
p
h
o
n
es
ar
e
an
ex
ce
llen
t w
ay
to
k
ee
p
in
to
u
ch
with
o
th
er
s
an
d
h
av
e
b
ec
o
m
e
in
d
is
p
en
s
ab
le
to
m
an
y
p
eo
p
le
all
o
v
er
th
e
wo
r
ld
.
T
o
d
ay
'
s
tech
n
o
lo
g
ically
ad
v
an
ce
d
ce
ll
p
h
o
n
es
(
3
G/4
G)
ar
e
ca
p
ab
le
o
f
s
to
r
in
g
d
ata,
tak
in
g
p
ictu
r
es,
m
o
b
ile
in
ter
n
et
ac
ce
s
s
,
v
id
eo
ca
lls
,
m
o
b
ile
T
V
g
am
in
g
s
er
v
ices,
an
d
3
D
telev
is
io
n
in
ad
d
itio
n
to
r
ec
eiv
in
g
an
d
p
lacin
g
p
h
o
n
e
ca
lls
.
I
n
a
m
u
lti
-
b
an
d
m
o
b
ile
r
ec
eiv
er
,
a
b
r
o
ad
b
an
d
(
B
B
)
L
NA
is
n
ee
d
ed
[
1
]
.
B
r
ief
ly
,
th
e
d
ef
in
itio
n
o
f
th
e
L
NA
is
a
r
ec
ep
tio
n
s
y
s
tem
ab
le
to
r
ec
eiv
e
poor
s
ig
n
als
an
d
en
h
an
ce
m
en
t it
in
o
r
d
er
to
s
atis
f
y
th
e
lev
el
ac
ce
p
tab
le
f
o
r
co
n
tin
u
ity
th
e
co
m
p
ar
ed
of
d
ev
ice
tr
an
s
ce
iv
er
to
th
e
co
n
v
en
tio
n
al
n
ar
r
o
w
-
b
an
d
L
NA
.
T
h
e
wid
e
-
b
an
d
L
NA
h
as
a
u
n
iq
u
e
d
esig
n
th
at
allo
ws
it
to
tack
le
a
v
ar
iety
o
f
ch
allen
g
es,
in
clu
d
in
g
m
atch
in
g
BB
at
th
e
in
p
u
t to
r
ed
u
ce
r
ef
lectio
n
co
ef
f
icien
t
,
ad
eq
u
ate
an
d
g
ain
,
lo
w
(
NF)
an
d
h
ig
h
lin
ea
r
ity
[
2
].
T
h
er
e
ar
e
m
an
y
tech
n
iq
u
es
to
d
esig
n
b
r
o
ad
b
an
d
L
NA
s
u
ch
as
co
m
p
en
s
ated
m
atch
in
g
n
e
two
r
k
[
3
]
,
b
alan
ce
d
am
p
lifie
r
[
4
]
,
d
is
tr
ib
u
tio
n
am
p
lifie
r
[
5
]
,
an
d
n
e
g
ativ
e
f
ee
d
b
ac
k
[
6
]
.
So
m
e
r
ef
e
r
en
ce
s
ab
o
u
t
th
is
L
NA
d
esig
n
s
h
av
e
b
ee
n
p
u
b
lis
h
ed
.
T
h
e
u
tili
za
tio
n
o
f
d
u
al
wid
e
b
an
d
with
(
2
-
4
GHz
an
d
5
-
6
GHz
)
h
as
b
ee
n
p
r
o
p
o
s
ed
in
[
7
]
.
Als
o
,
2
.
3
GHz
L
NA
f
o
r
W
iMAX
is
p
u
b
lis
h
ed
in
[
8
]
,
a
t
2
.
3
GHz
,
th
e
o
p
tim
is
ed
L
NA
h
as
a
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
5
2
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci,
Vo
l.
23
,
No
.
2
,
Au
g
u
s
t
20
21
:
725
-
7
3
2
726
NF
o
f
1
.
1
0
2
d
B
an
d
g
ain
o
f
1
5
.
1
1
d
B
[
9
]
.
At
th
e
in
ter
ested
b
an
d
,
th
e
NF
d
if
f
e
r
s
f
r
o
m
3
-
3
.
7
d
B
.
T
h
is
s
itu
atio
n
d
o
es
n
o
t
s
u
p
p
o
r
t
iv
e
th
e
L
NA
d
esig
n
s
f
o
r
3
G
/
4
G
ap
p
licatio
n
s
.
Fo
r
th
is
b
an
d
,
th
e
d
esig
n
ed
L
NA
with
a
NF
o
f
0
.
5
8
8
d
B
,
u
n
c
o
n
d
itio
n
al
s
tab
le
alo
n
g
a
n
d
th
e
g
ain
o
f
1
2
.
8
5
d
B
h
as
b
ee
n
p
u
b
lis
h
ed
in
[
1
0
]
.
I
n
th
is
p
ap
er
,
a
b
r
o
a
d
b
an
d
L
NA
b
ased
o
n
co
m
p
en
s
ated
m
atch
in
g
n
etwo
r
k
tech
n
iq
u
e
h
as
b
ee
n
d
esig
n
ed
a
n
d
im
p
lem
en
te
d
at
2
GHz
in
o
r
d
er
to
g
et
h
ig
h
s
ta
b
le
g
ain
,
lo
w
n
o
is
e
f
ig
u
r
e,
a
n
d
s
m
aller
s
ize
f
o
r
a
3
G/4
G
co
m
m
u
n
icatio
n
s
y
s
tem
.
T
h
e
m
a
n
u
s
cr
ip
t
is
ar
r
a
n
g
ed
a
s
:
T
h
e
s
ec
o
n
d
s
ec
tio
n
illu
s
tr
ates
th
e
L
NA
cir
cu
it
d
esig
n
m
eth
o
d
s
.
T
h
e
an
aly
s
is
,
d
esig
n
s
tep
s
an
d
s
im
u
latio
n
s
b
y
u
s
in
g
ADS
[
1
1
]
,
wh
ich
h
av
e
b
ee
n
d
is
cu
s
s
ed
in
th
e
th
ir
d
s
ec
tio
n
.
T
h
e
im
p
le
m
en
tatio
n
an
d
s
im
u
latio
n
r
esu
lts
h
av
e
b
ee
n
in
tr
o
d
u
ce
d
in
th
e
f
o
u
r
th
s
ec
tio
n
.
Fin
ally
,
th
e
co
n
clu
s
io
n
s
ha
ve
b
ee
n
ex
p
lain
ed
.
2.
B
RO
AD
B
AND
L
NA
CIR
C
UIT
S AP
P
RO
ACH
E
S
T
h
e
k
ey
an
d
ch
allen
g
e
to
r
ea
lize
b
r
o
ad
b
a
n
d
L
NA
d
esig
n
is
t
o
ac
h
iev
e
h
ig
h
g
ain
a
n
d
en
s
u
r
e
s
tab
ilit
y
in
th
e
wh
o
le
b
a
n
d
.
Fig
u
r
e
1
s
h
o
ws
a
s
im
p
lifie
d
cir
cu
it
d
iag
r
am
f
o
r
t
h
e
b
r
o
ad
b
a
n
d
L
NA
.
T
h
e
s
tr
u
ctu
r
es
o
f
th
e
b
r
o
ad
-
b
an
d
L
NA
ar
e
[
1
2
]
.
−
C
o
m
p
en
s
ated
m
atch
in
g
n
etwo
r
k
−
B
alan
ce
d
am
p
lifie
r
−
Dis
tr
ib
u
tio
n
am
p
lifie
r
−
Neg
ativ
e
f
ee
d
b
ac
k
am
p
lifie
r
T
h
e
co
m
p
en
s
ated
m
atc
h
in
g
n
etwo
r
k
d
esig
n
is
ess
en
tial
to
o
b
tain
g
ain
f
latn
ess
r
esu
lts
an
d
lo
w
n
o
is
e
f
ig
u
r
e
b
y
u
s
in
g
s
tep
p
ed
im
p
ed
an
ce
m
atch
in
g
an
d
a
s
in
g
le
s
h
o
r
t stu
b
.
T
h
e
s
tep
p
ed
im
p
ed
a
n
ce
m
atch
in
g
cir
cu
it
(
q
u
ar
ter
-
wav
e
tr
an
s
m
is
s
io
n
lin
e)
h
elp
s
th
e
d
esig
n
to
r
ed
u
ce
th
e
lo
ad
an
d
s
o
u
r
ce
r
ef
lectio
n
co
ef
f
icien
t
(
Γ)
b
y
m
ak
in
g
m
u
ltip
le
s
tep
s
ʎ
/4
len
g
th
o
f
t
h
e
tr
an
s
m
is
s
io
n
lin
e
(
TL
)
.
So
,
th
e
i
n
p
u
t
im
p
ed
an
ce
at
th
e
lo
ad
o
r
th
e
s
o
u
r
ce
ef
f
icien
cy
ca
n
b
e
o
b
ta
in
ed
as
Z
in
=Z
0
2
/Z
L
;
Z
in
=Z
0
2
/Z
S
wh
er
e
Z
o
is
th
e
T
L
ch
a
r
a
cter
is
tic
im
p
ed
an
ce
.
Als
o
,
a
s
in
g
le
s
h
o
r
t
s
tu
b
can
b
e
co
n
s
id
er
e
d
f
o
r
m
atc
h
in
g
cir
cu
it
at
s
o
u
r
ce
an
d
lo
ad
to
im
p
r
o
v
e
th
e
r
e
f
lectio
n
co
ef
f
icien
t.
A
b
alan
ce
d
am
p
lifie
r
is
a
co
s
t
-
ef
f
ec
tiv
e
way
to
i
n
co
r
p
o
r
ate
a
b
r
o
a
d
b
an
d
am
p
lifie
r
with
f
lat
g
ain
a
n
d
ac
cu
r
ate
in
p
u
t
an
d
o
u
tp
u
t
m
at
ch
in
g
.
T
h
e
m
o
s
t
co
m
m
o
n
co
n
f
ig
u
r
atio
n
is
to
u
s
e
two
(
3
-
d
B
)
h
y
b
r
id
co
u
p
ler
s
o
n
a
b
alan
ce
d
am
p
lifie
r
.
A
d
is
tr
i
b
u
tio
n
am
p
lifie
r
is
a
cir
cu
it
th
at
in
co
r
p
o
r
at
es
TL
at
th
e
d
esi
g
n
in
o
r
d
er
to
o
b
tain
a
h
ig
h
er
g
ain
p
r
o
d
u
ct
th
an
t
y
p
ical
cir
cu
its
ca
n
ac
h
iev
e.
Fig
u
r
e
1
.
A
s
im
p
lifie
d
ci
r
cu
it
d
iag
r
am
f
o
r
th
e
b
r
o
a
d
b
an
d
L
N
A
I
n
b
r
o
ad
b
an
d
am
p
lifie
r
s
,
n
eg
ativ
e
f
ee
d
b
ac
k
ca
n
b
e
u
s
ed
to
ac
h
iev
e
a
f
lat
g
ain
r
esp
o
n
s
e
at
all
th
e
b
an
d
a
n
d
g
et
lo
wer
NF
.
A
d
d
itio
n
ally
,
it
m
o
n
ito
r
s
th
e
am
p
lifi
er
'
s
o
u
tp
u
t
d
u
e
t
o
th
e
d
if
f
er
e
n
c
es
in
S
-
p
ar
am
eter
s
b
etwe
en
tr
an
s
is
to
r
s
.
Neg
ativ
e
f
ee
d
b
ac
k
is
class
if
ied
in
to
t
wo
ty
p
es:
s
h
u
n
t
an
d
s
eq
u
en
ce
.
W
h
en
ac
co
r
d
in
g
ly
u
s
ed
,
it
can
be
:
−
Pr
eser
v
e
f
latn
ess
-
g
ain
−
R
ed
u
ce
co
m
p
o
n
en
t
tem
p
e
r
atu
r
e
ef
f
ec
ts
−
E
n
h
an
ce
DC
an
d
R
F st
ab
ilit
y
−
R
ed
u
ce
d
is
to
r
tio
n
[
1
3
]
.
I
n
g
en
er
al,
s
h
u
n
t f
ee
d
b
ac
k
ca
n
s
im
p
ly
m
ain
tain
s
tab
ilit
y
at
lo
wer
R
F f
r
eq
u
en
cies b
u
t w
ea
k
en
it a
t th
e
h
ig
h
er
f
r
eq
u
en
cies
[
14
]
.
Ser
ies
f
ee
d
b
ac
k
is
n
o
t
f
av
o
r
ed
f
o
r
R
F
ap
p
licatio
n
s
b
ec
au
s
e
it
ca
n
d
ec
r
ea
s
e
s
tab
ilit
y
with
r
esp
ec
t
to
s
h
u
n
t
f
ee
d
b
ac
k
.
E
v
en
th
o
u
g
h
th
e
co
m
p
en
s
ate
d
m
atch
in
g
n
etwo
r
k
am
p
lifie
r
en
h
an
ce
s
th
e
o
th
e
r
in
d
icato
r
s
b
y
s
ac
r
if
icin
g
th
e
n
o
is
e
f
ig
u
r
e
m
a
r
g
in
ally
,
h
o
wev
er
b
y
c
o
m
p
ar
is
o
n
,
th
is
s
tr
u
ctu
r
e
is
th
e
ex
ce
llen
t
m
eth
o
d
with
th
e
b
est ef
f
ec
t.
S
o
,
co
m
p
en
s
ated
m
atch
in
g
n
et
wo
r
k
am
p
lifie
r
is
ad
o
p
ted
an
d
u
s
ed
in
th
i
s
wo
r
k
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4
7
5
2
Desig
n
a
n
d
imp
leme
n
ta
tio
n
o
f
a
b
r
o
a
d
-
b
a
n
d
h
ig
h
g
a
in
lo
w
n
o
is
e
a
mp
lifi
er fo
r
…
(
A
h
med
M.
A
b
d
elmo
n
em
)
727
3.
CIRCU
I
T
AN
AL
Y
SI
S
AND
DE
SI
G
N
ST
E
P
S
I
n
th
is
s
ec
tio
n
,
th
e
d
esig
n
an
a
ly
s
is
of
L
NA
f
o
r
3
G/4
G
a
p
p
li
ca
tio
n
s
is
p
r
esen
ted
.
T
ab
le
1
s
h
o
ws
th
e
p
r
o
p
o
s
ed
lo
w
n
o
is
e
am
p
lifie
r
s
p
ec
if
icatio
n
s
.
T
h
e
p
r
o
p
o
s
e
d
b
r
o
ad
b
a
n
d
c
lass
-
A
L
NA
c
ir
cu
it
[
6
]
with
th
e
co
m
p
en
s
ated
m
atch
in
g
n
etwo
r
k
with
a
n
NPN
SIG
E
R
F
tr
a
n
s
is
to
r
B
F
U
-
7
3
0
F
d
ev
ice
is
s
h
o
wn
in
Fig
u
r
e
2.
I
n
th
is
ca
s
e,
s
tab
le
b
r
o
ad
b
an
d
g
ai
n
an
d
g
o
o
d
im
p
ed
an
ce
m
atch
s
im
u
ltan
eo
u
s
ly
in
th
e
R
F
r
an
g
e,
th
e
co
m
p
en
s
ated
m
atch
in
g
n
etwo
r
k
am
p
lifie
r
was
u
s
ed
.
T
h
e
co
m
p
u
ter
-
b
ase
d
m
eth
o
d
[
1
5
]
h
as
b
ee
n
u
s
ed
f
o
r
am
p
lifie
r
d
esig
n
in
g
.
T
ab
le
1
.
L
NA
d
esig
n
p
ar
am
et
er
s
P
a
r
a
me
t
e
r
C
e
n
t
e
r
F
r
e
q
u
e
n
c
y
(
)
S
w
e
e
p
B
a
n
d
w
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d
t
h
(
)
G
a
i
n
N
o
i
se
F
i
g
u
r
e
S
t
a
b
i
l
i
t
y
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u
p
p
l
y
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o
l
t
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g
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l
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e
2
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H
z
6
0
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H
z
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6
.
5
d
B
<
0
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7
d
B
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n
c
o
n
d
i
t
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a
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s
t
a
b
l
e
2
.
2
5
V
Fig
u
r
e
2
.
Pro
p
o
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ed
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c
u
it sch
em
atic
o
f
b
r
o
ad
b
a
n
d
L
NA
3
.
1
.
B
ia
s
c
o
nfig
ura
t
i
o
n
Mo
s
t
m
icr
o
wav
e
b
ip
o
lar
ju
n
c
tio
n
tr
an
s
is
to
r
s
(
B
J
T
s
)
ar
e
m
a
d
e
v
ia
s
ilico
n
in
th
e
NPN
m
o
d
e.
B
elo
w
4
GHz
,
s
ilico
n
B
J
T
p
r
o
v
id
es
a
r
eliab
le
an
d
lo
w
-
co
s
t
s
o
lu
tio
n
to
m
an
y
elec
tr
o
n
ics
d
esig
n
s
.
T
h
e
tr
an
s
is
to
r
d
im
en
s
io
n
s
ar
e
tin
y
to
allo
w
o
p
er
atio
n
s
at
m
icr
o
wa
v
e
f
r
eq
u
en
cies.
T
h
e
NPN
SIG
E
R
F
t
r
an
s
is
to
r
B
FU
-
7
3
0
F
was
u
s
ed
.
T
h
is
tr
an
s
is
to
r
h
as
a
s
m
all
n
o
is
e
f
ig
u
r
e
o
v
er
th
e
wh
o
le
b
an
d
alo
n
g
with
en
o
u
g
h
g
ain
at
h
ig
h
f
r
eq
u
e
n
cy
.
Fro
m
th
e
d
atash
ee
t
,
th
e
B
FU
-
7
3
0
F
am
p
lifie
r
p
r
o
v
id
es
less
th
an
0
.
7
d
B
n
o
is
e
f
i
g
u
r
e
w
ith
a
ty
p
ical
g
ain
o
f
1
7
.
8
d
B
at
V
CE
=
2
.
0
2
5
V
a
n
d
I
c=
5
.
8
mA
o
p
er
atin
g
p
o
in
t.
A
h
ig
h
DC
cu
r
r
en
t
i
s
n
ec
ess
ar
y
f
o
r
h
i
g
h
g
ain
.
Of
co
u
r
s
e,
th
e
h
ig
h
e
r
c
u
r
r
en
t
g
en
er
ates
h
ig
h
er
n
o
is
e.
I
n
o
r
d
er
t
o
o
b
tain
th
e
g
r
ea
test
p
o
s
s
ib
le
h
ig
h
-
f
r
eq
u
e
n
cy
g
ai
n
,
th
e
n
o
is
e
f
ig
u
r
e
i
s
s
ac
r
if
iced
to
a
ce
r
tain
ex
te
n
t.
3
.
2
.
St
a
bil
it
y
a
na
ly
s
is
T
h
e
s
t
ab
ili
ty
o
f
th
e
am
p
li
f
i
er
i
s
a
v
e
r
y
i
m
p
o
r
t
a
n
t
co
n
s
i
d
e
r
ati
o
n
s
i
n
c
e,
it
is
a
m
ea
s
u
r
e
o
f
th
e
r
es
is
ti
v
it
y
o
f
t
h
e
s
y
s
t
em
ag
ai
n
s
t
t
h
e
o
s
cill
ati
o
n
.
F
o
r
u
n
c
o
n
d
iti
o
n
al
s
tab
ilit
y
,
t
h
e
s
c
att
er
in
g
p
a
r
a
m
ete
r
s
o
f
t
h
e
d
e
v
i
ce
d
et
e
r
m
i
n
e
t
h
e
s
t
a
b
ili
ty
as
s
h
o
w
n
in
(
1
)
t
o
(
4
)
:
|Γ
S
|
<
1
(
1
)
|Γ
L
|
<
1
(
2
)
|Γ
IN
|
=|
S
11
+
12
×
21
×
1
−
22
×
|
<
1
(
3
)
|Γ
OUT
|
=|
S
22
+
12
×
21
×
1
−
11
×
|
<
1
(
4
)
w
h
er
e
Γ
S
an
d
Γ
L
ar
e
th
e
s
o
u
r
ce
an
d
l
o
ad
r
ef
lectio
n
c
o
ef
f
ic
ien
ts
,
r
esp
ec
tiv
ely
.
Mo
r
e
o
v
er
,
th
e
s
tab
ilit
y
o
f
th
e
am
p
lifie
r
cir
cu
it
was
r
ec
o
g
n
i
ze
d
b
y
th
e
s
tab
ilit
y
f
ac
to
r
(
k
)
as
m
en
tio
n
ed
in
(
5
)
.
T
h
e
s
ta
te
o
f
u
n
c
o
n
d
itio
n
al
s
tab
ilit
y
ca
n
b
e
r
ea
lized
f
r
o
m
:
K=
1
−
|
11
|
2
−
|
22
|
2
+
|
|
2
2
|
12
×
21
|
> 1
(
5
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
5
2
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci,
Vo
l.
23
,
No
.
2
,
Au
g
u
s
t
20
21
:
725
-
7
3
2
728
Δ
=
S
11
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22
-
S
12
×S
21
< 1
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6
)
s
o
,
|
S
11
|
an
d
|
S
22
|
m
u
s
t
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e
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an
1
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e
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n
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o
n
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al
s
tab
ilit
y
.
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n
o
r
d
er
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o
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c
h
t
h
e
en
tire
f
r
e
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u
en
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y
r
an
g
e
,
we
h
av
e
to
u
s
e
s
tab
ilizin
g
b
r
a
n
ch
es si
n
ce
p
o
te
n
tial in
s
tab
ilit
ies ex
is
t in
th
e
wh
o
le
f
r
e
q
u
en
cy
b
an
d
.
T
ab
le
2
s
h
o
ws
th
e
s
ca
tter
in
g
p
ar
am
eter
s
an
d
s
tab
ilit
y
f
ac
to
r
(
K)
to
th
e
L
o
w
n
o
is
e
tr
an
s
is
to
r
B
FU
730F
.
T
h
e
s
im
u
latio
n
h
as
b
ee
n
d
o
n
e
at
th
e
s
am
e
b
iasi
n
g
i
n
o
u
r
d
esig
n
(
V
CE
=
2
.
025
V
,
I
BB
=1
9
.
1
µA
)
as
s
h
o
wn
in
F
ig
u
r
e
3
W
h
er
e
it
s
h
o
ws
th
e
cir
cu
it
to
o
b
tain
th
e
s
ca
tter
in
g
p
ar
am
eter
o
f
th
e
R
F
B
J
T
am
p
lifie
r
with
o
u
t
an
y
m
atch
in
g
tech
n
iq
u
e.
Fig
u
r
e
3
.
T
h
e
cir
cu
it f
o
r
S
-
p
a
r
am
eter
s
ca
lcu
latio
n
s
o
f
R
F
am
p
lifie
r
T
ab
le
2
.
Scatter
in
g
p
ar
am
eter
s
an
d
s
tab
ilit
y
f
ac
to
r
.
C
e
n
t
e
r
F
r
e
q
.
S
11
S
12
S
21
S
22
K
2
(
G
H
Z)
-
4
.
2
└
-
1
0
6
.
1
6
-
2
7
.
4
└
4
1
.
6
1
4
.
5
└
1
0
6
.
7
0
.
5
9
└
-
5
1
.
0
9
0
.
4
2
5
At
th
e
o
u
ts
et,
th
e
cir
cu
it
will
ac
h
iev
e
lo
wer
s
tab
ilit
y
.
A
b
ias
cir
cu
it
is
ac
co
m
m
o
d
ated
to
m
ak
e
th
e
s
tab
ilit
y
f
ac
to
r
as
h
ig
h
as
p
o
s
s
ib
le
.
T
h
e
s
tab
ilit
y
f
ac
to
r
o
f
B
F
U
-
7
3
0
F
in
th
e
s
tatic
b
ias
is
d
e
ter
m
in
ed
as
s
h
o
wn
in
T
ab
le
2
.
T
h
e
r
ef
o
r
e
,
th
e
h
ig
h
s
tab
ilit
y
f
ac
to
r
an
d
lo
w
n
o
i
s
e
ch
ar
ac
ter
is
tic
am
p
lifie
r
th
e
cir
cu
it
is
s
h
o
wn
in
Fig
u
r
e
2
is
p
r
o
p
o
s
ed
.
Af
ter
s
im
u
latio
n
an
d
o
p
tim
izatio
n
,
a
co
m
p
en
s
ated
m
atch
in
g
n
etwo
r
k
cir
cu
it
is
in
tr
o
d
u
ce
d
in
p
a
r
allel
to
s
tr
en
g
th
en
th
e
s
tab
ilit
y
.
3
.
3
.
B
ro
a
db
a
nd
m
a
t
ching
net
wo
rk
d
esig
n
As
s
h
o
wn
i
n
Fi
g
u
r
e
2
,
t
h
e
b
i
asin
g
n
et
wo
r
k
is
c
o
n
s
is
ti
n
g
o
f
tw
o
b
y
p
ass
c
ap
ac
it
o
r
s
(C
2
a
n
d
C
3
)
t
o
eli
m
i
n
at
e
t
h
e
p
o
we
r
s
u
p
p
l
y
r
i
p
p
le
.
T
h
e
tw
o
R
F
c
h
o
k
e
c
o
ils
(
L
2
a
n
d
L
3
)
p
r
e
v
e
n
t
t
h
e
R
F
s
ig
n
als
wh
ile
all
o
w
p
ass
i
n
g
DC
s
o
u
r
c
e
v
o
lt
a
g
e
.
Als
o
,
th
e
q
u
a
r
te
r
wa
v
e
le
n
g
t
h
tr
a
n
s
m
is
s
io
n
li
n
e
(
λ
\
4
T
.
L
)
k
ee
p
s
th
e
d
es
ig
n
m
at
ch
in
g
at
t
h
e
n
e
ed
e
d
b
an
d
wid
th
;
it
m
a
k
e
s
t
h
e
im
p
e
d
an
c
e
h
i
g
h
at
R
F
s
i
g
n
a
l
,
an
d
p
r
es
er
v
e
s
t
h
e
im
p
ed
an
ce
lo
w
at
DC
s
o
u
r
c
e
v
o
lta
g
e
.
T
h
er
e
a
r
e
th
r
ee
v
a
r
i
eti
es
o
f
tr
a
n
s
m
is
s
i
o
n
li
n
es
(
th
e
tw
o
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wi
r
e
,
t
h
e
c
o
a
x
ia
l
a
n
d
t
h
e
m
ic
r
o
s
t
r
i
p
t
r
an
s
m
is
s
i
o
n
li
n
e
)
.
T
h
e
m
i
cr
o
s
t
r
i
p
t
r
a
n
s
m
is
s
i
o
n
lin
e
(
MS
T
L
)
is
t
h
e
m
o
s
t
p
r
o
p
e
r
f
o
r
th
e
c
o
n
s
tr
u
c
ti
o
n
o
f
m
ic
r
o
wa
v
e
am
p
li
f
i
er
s
.
T
h
e
i
n
p
u
t
n
e
tw
o
r
k
,
w
h
ic
h
c
o
n
s
is
ts
o
f
c
ap
ac
it
o
r
C
1
,
s
t
r
i
k
es
a
b
al
a
n
c
e
b
e
twe
en
t
h
e
b
est
n
o
is
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f
ig
u
r
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an
d
a
f
ai
r
i
n
p
u
t
r
et
u
r
n
l
o
s
s
as
(
DC
b
l
o
c
k
)
,
m
i
cr
o
s
t
r
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p
li
n
e
m
atc
h
e
d
(
St
ep
p
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im
p
ed
a
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ce
m
atc
h
i
n
g
T
ec
h
n
i
q
u
e
)
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T
,
s
h
u
n
t
in
d
u
c
to
r
L
1
(
e
q
u
i
v
a
len
t
f
o
r
s
h
u
n
t
s
i
n
g
le
s
h
o
r
t
s
t
u
b
t
o
m
a
k
e
s
o
s
m
al
l
s
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ze
)
.
T
h
e
o
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t
p
u
t
m
atc
h
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n
g
n
et
wo
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k
co
n
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o
f
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n
t
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t
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r
R
4
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eq
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i
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ale
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t
f
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t
r
a
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m
is
s
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li
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m
atc
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i
n
g
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a
n
d
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t
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s
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n
d
ca
p
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o
r
C
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D
C
b
l
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c
k
i
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g
)
.
T
h
e
m
et
h
o
d
o
l
o
g
y
m
e
n
ti
o
n
e
d
i
n
[
1
6
]
h
as
b
ee
n
u
s
e
d
f
o
r
m
at
ch
ed
e
le
m
e
n
t
r
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.
T
h
e
d
esi
g
n
e
d
el
em
en
ts
ar
e
s
h
o
w
n
in
T
a
b
le
3
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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r
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it
t
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ce
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an
d
th
e
n
o
is
e
c
u
r
r
en
t
.
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h
e
t
o
t
al
n
o
is
e
d
o
n
ate
d
b
y
th
e
two
-
p
o
r
t
n
etw
o
r
k
is
m
o
d
el
ed
as
a
n
o
is
e
v
o
lt
a
g
e
s
o
u
r
ce
a
n
d
a
n
o
is
e
c
u
r
r
en
t
s
o
u
r
ce
as
s
h
o
w
n
i
n
F
ig
u
r
e
4
,
as
s
u
m
in
g
th
at
th
e
n
et
wo
r
k
is
n
o
is
e
less
a
n
d
l
in
ea
r
.
Fig
u
r
e
4
.
E
q
u
iv
alen
t
n
o
is
e
m
o
d
el
T
h
e
d
e
f
i
n
i
ti
o
n
o
f
n
o
is
e
f
ig
u
r
e
i
s
e
x
p
r
ess
e
d
as
in
(
7
)
:
=
(
7
)
i
n
an
elec
tr
o
n
ic
cir
cu
it,
t
h
er
e
ar
e
s
ev
e
r
al
f
o
r
m
s
o
f
n
o
is
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s
o
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r
ce
s
,
in
cl
u
d
in
g
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er
m
al
n
o
is
e,
s
h
o
t
n
o
is
e,
an
d
f
lick
er
n
o
is
e.
Ho
wev
er
,
th
e
r
m
al
n
o
is
e
an
d
s
h
o
t
n
o
is
e
ar
e
th
e
m
o
s
t
p
o
wer
f
u
l
ty
p
es
o
f
n
o
is
e
in
th
e
L
NA
cir
cu
its
.
T
h
e
T
h
er
m
al
n
o
is
e
in
cr
ea
s
es with
in
cr
ea
s
in
g
T
em
p
er
atu
r
e
an
d
R
esis
tan
ce
as in
(
8
)
:
2
=
4
∆
(
8
)
w
h
er
e
K
is
B
o
ltzm
an
n
co
n
s
tan
t,
R
is
eq
u
iv
alen
t
r
esis
tan
ce
an
d
T
is
th
e
tem
p
er
atu
r
e
in
k
elv
in
.
Ad
d
itio
n
ally
,
s
h
o
t
n
o
is
e
o
cc
u
r
s
in
m
icr
o
ele
ctr
o
n
ic
d
ev
ices
as
a
r
esu
lt
o
f
th
e
in
e
v
itab
le
s
p
o
n
tan
eo
u
s
s
tatis
tical
v
ar
iatio
n
s
in
th
e
elec
tr
ic
cu
r
r
en
t
as
ch
a
r
g
e
ca
r
r
ier
s
(
s
u
ch
as
elec
tr
o
n
s
)
tr
av
er
s
e
a
ju
n
ctio
n
.
I
f
elec
tr
o
n
s
f
lo
w
o
v
e
r
a
m
em
b
r
an
e,
th
eir
ar
r
iv
al
tim
es a
r
e
d
is
cr
ete.
As s
tated
p
r
ev
io
u
s
ly
,
th
ese
d
is
cr
ete
ar
r
iv
als ex
h
ib
it sh
o
t n
o
is
e
(
9
)
:
2
=
2
∆
(
9
)
w
h
er
e
(
2
)
is
th
e
cu
r
r
en
t
s
h
o
t
n
o
is
e
g
en
er
ato
r
,
(
q
)
is
an
elec
t
r
o
n
ch
a
r
g
e
elem
en
ta
r
y
,
(
Δ
f)
i
s
th
e
th
e
b
an
d
-
wid
th
in
h
er
tz
at
th
e
co
n
s
id
er
e
d
n
o
is
e
is
,
an
d
(
I
)
is
th
e
DC
f
o
llo
win
g
cu
r
r
e
n
t.
4.
SI
M
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ased
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r
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.
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e
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en
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ar
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atch
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n
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t
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ip
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ain
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8
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.
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u
r
e
5
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em
o
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ates
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iatio
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I
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ter
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u
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6
s
h
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atin
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u
r
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5
.
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h
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g
ain
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S
21
)
a
n
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e
in
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t r
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s
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S
11
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Fro
m
Fig
u
r
e
7
,
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ca
n
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e
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th
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r
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atin
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h
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s
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s
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co
n
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c
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d
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r
ef
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r
e
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er
e
is
n
o
r
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Fig
u
r
e
6
.
Plo
t o
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th
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o
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f
ig
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r
e
v
er
s
u
s
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r
eq
u
en
cy
Fig
u
r
e
7
.
Plo
t o
f
th
e
s
tab
ilit
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f
ac
to
r
(
K)
v
e
r
s
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s
f
r
eq
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e
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cy
5.
E
XP
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R
I
M
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T
A
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RE
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S
Fig
u
r
e
8
s
h
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e
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ay
o
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t
f
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r
th
e
p
r
o
p
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s
ed
L
NA.
T
ak
in
g
in
to
ac
co
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n
t
th
e
p
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ip
h
er
al'
s
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ar
asit
ic
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ce
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in
d
u
ctan
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d
ca
p
ac
itan
ce
in
th
e
b
o
x
.
T
h
e
r
esis
tan
ce
s
o
f
Mu
r
ata'
s
ch
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in
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u
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r
s
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s
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d
o
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o
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k
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u
f
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t
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im
u
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h
e
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r
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b
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im
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s
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ate
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ate
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n
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r
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te
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u
r
e
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.
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h
e
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ea
s
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r
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t
with
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e
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iescen
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r
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en
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p
ar
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eter
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s
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r
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al
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.
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h
e
co
n
n
ec
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n
s
o
f
th
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p
r
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c
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it
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t
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u
p
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ly
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th
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n
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k
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al
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r
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r
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Fig
u
r
e
10
.
Fig
u
r
e
1
1
i
llu
s
tr
ates
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e
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es
o
f
th
e
s
im
u
lated
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ai
n
(
S
21
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ich
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ar
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5
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8
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e
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o
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lated
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21
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ich
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GHz
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
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m
p
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r
e
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h
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PC
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e
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lated
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ter
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h
t
in
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lated
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m
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is
d
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to
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e
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m
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f
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t
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r
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d
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f
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ts
an
d
th
e
co
p
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s
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f
ac
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ev
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[
18
].
Fig
u
r
e
10.
T
h
e
m
ea
s
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r
em
en
ts
s
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p
f
o
r
th
e
L
NA
cir
cu
it
Fig
u
r
e
11.
Me
asu
r
ed
an
d
s
im
u
lated
r
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f
th
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p
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o
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L
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T
ab
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4
s
h
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ested
b
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b
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d
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p
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cir
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r
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ize,
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n
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.
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v
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d
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d
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C
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M
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6.
CO
NCLU
SI
O
NS
W
ith
th
e
as
s
is
t
o
f
th
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Ad
v
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Desig
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s
tem
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ADS)
an
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ated
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atch
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k
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d
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atch
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L
NA
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as
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d
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n
e
d
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tead
ily
o
p
tim
izatio
n
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r
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Ha
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]
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.
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li
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H.
Ja
c
k
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l,
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p
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l
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.
[3
]
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Lo
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n
d
J.
Kia
n
g
,
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De
sig
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f
Wi
d
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]
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T
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sig
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[6
]
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.
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o
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z
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les
,
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s
isto
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p
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d
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w Je
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2
0
0
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.
[7
]
M
.
Be
n
Am
o
r,
M
.
L
o
u
l
o
u
,
S
.
Qu
in
ta
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P
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sq
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sig
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[8
]
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J
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k
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[9
]
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-
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Hu
n
g
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K
-
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0
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In
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1
]
Ag
il
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n
t
Tec
h
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h
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ra
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sig
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s,
”
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1
3
5
4
,
2
0
0
0
.
[On
l
in
e
].
A
v
a
il
a
b
le
:
h
tt
p
:/
/www
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tca
d
.
sta
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fo
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/~
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o
js/RE
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f
[1
2
]
R.
G
il
m
o
re
a
n
d
L.
Be
ss
e
r,
“
P
ra
c
ti
c
a
l
RF
Circu
it
De
sig
n
fo
r
M
o
d
e
rn
Wi
re
les
s
S
y
ste
m
s,
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v
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l.
2,
Acti
v
e
Circ
u
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s
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S
y
ste
ms
,
USA:
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c
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Ho
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se
,
p
p
.
1
2
3
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1
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1
,
2
0
0
3
.
[1
3
]
P
e
ter B.
Ke
n
in
g
to
n
,
Hi
g
h
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in
e
a
ri
ty R
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Amp
l
if
ier
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sig
n
,
No
rwo
o
d
,
M
A:
Arte
c
h
H
o
u
se
,
2
0
0
0
.
[1
4
]
C
.
-
W.
Kim
,
M
.
-
S
.
Ka
n
g
,
P
.
T.
An
h
,
H
.
-
T.
Kim
,
a
n
d
S
.
-
G
.
Lee
,
“
An
Ultra
Wi
d
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-
Ba
n
d
CM
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Lo
w
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o
ise
Am
p
li
fier
fo
r
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–
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-
G
Hz
UWB
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y
ste
m
,
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in
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J
o
u
rn
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l
o
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S
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5
]
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.
M
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A.
F
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ra
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,
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Am
p
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sig
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6
]
J.
Wan
g
,
S
.
He
,
F
.
Yo
u
,
W.
S
h
i
,
J.
P
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n
g
,
a
n
d
C.
L
i,
“
Co
d
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si
g
n
o
f
Hig
h
-
Eff
icie
n
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y
P
o
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r
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p
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n
–
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ra
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sa
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7
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Ke
y
sig
h
t
Tec
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“
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v
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n
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De
sig
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S
y
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(ADS
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,
2
0
1
9
.
[O
n
li
n
e
]
Av
a
il
a
b
le
:
h
tt
p
s://
ww
w.
k
e
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sig
h
t.
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