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cu
it
a
n
d
r
eq
u
ir
e
m
o
r
e
r
esis
to
r
s
f
o
r
o
u
tp
u
t
p
o
r
ts
’
is
o
latio
n
.
T
h
er
ef
o
r
e,
it
is
v
er
y
i
m
p
o
r
tan
t
to
r
ed
u
ce
th
e
q
u
ar
ter
-
w
a
v
ele
n
g
th
li
n
e
s
e
ctio
n
s
s
ize
in
o
r
d
er
to
o
b
tain
co
m
p
ac
ted
p
ass
i
v
e
co
m
p
o
n
e
n
t
s
.
A
n
u
m
b
er
o
f
s
t
u
d
ies
h
a
v
e
atte
m
p
ted
to
im
p
r
o
v
e
th
e
co
n
v
en
tio
n
al
W
ilk
i
n
s
o
n
p
o
w
er
d
iv
id
er
s
[
1
5
]
-
[
1
6
]
.
T
an
g
an
d
C
h
e
n
[
1
6
]
also
tr
ied
to
r
ed
u
ce
th
e
s
ize
o
f
th
e
co
n
v
en
tio
n
al
p
o
w
er
d
iv
id
er
b
y
f
o
ld
in
g
SIT
L
m
et
h
o
d
.
I
n
ad
d
itio
n
,
Sed
i
g
h
y
et
al.
[
1
7
]
s
u
g
g
es
ted
th
at
m
o
d
i
f
y
in
g
t
h
e
W
il
k
i
n
s
o
n
p
o
w
er
d
i
v
id
er
ca
n
r
e
s
u
lt
i
n
a
f
r
ac
tio
n
al
b
a
n
d
w
id
th
o
f
1
0
0
%
w
it
h
-
1
0
d
B
is
o
latio
n
o
r
a
f
r
ac
tio
n
al
b
an
d
w
id
t
h
o
f
4
0
%
w
it
h
-
2
0
d
B
is
o
latio
n
en
h
a
n
ci
n
g
t
h
e
p
o
w
er
s
p
lit
tin
g
p
er
f
o
r
m
a
n
ce
.
On
t
h
e
co
n
tr
ar
y
,
th
e
ir
s
tr
u
ct
u
r
es
ar
e
v
er
y
co
m
p
lex
an
d
th
i
s
in
cr
ea
s
es t
h
e
cir
cu
it f
ab
r
icatio
n
co
m
p
lex
it
y
.
Delta
s
t
u
b
w
a
s
p
r
o
p
o
s
ed
f
o
r
th
e
f
ir
s
t ti
m
e
b
y
C
o
i
m
b
r
a
[
1
8
]
w
h
ile
Nad
er
a
a
t e
l
[
1
9
]
w
er
e
t
h
e
p
io
n
ee
r
s
to
d
esig
n
t
h
e
s
er
ie
s
-
d
elta
s
t
u
b
an
d
i
m
p
le
m
e
n
t
i
t
i
n
t
h
e
s
in
g
le
-
s
ec
tio
n
W
il
k
in
s
o
n
p
o
w
er
d
iv
id
er
to
s
h
if
t
t
h
e
h
ig
h
o
p
er
atin
g
f
r
eq
u
e
n
c
y
to
lo
w
f
r
eq
u
e
n
c
y
w
h
ile
m
ai
n
tai
n
in
g
s
h
o
r
t b
r
an
ch
li
n
es.
I
n
th
is
p
ap
er
,
th
r
ee
W
il
k
i
n
s
o
n
p
o
w
er
d
iv
id
er
s
w
er
e
m
o
d
if
ied
to
m
i
n
i
m
ize
t
h
e
s
ize
an
d
ac
h
i
ev
e
a
h
i
g
h
b
an
d
w
id
t
h
r
an
g
e.
T
h
e
p
r
o
p
o
s
ed
f
o
ld
ed
m
icr
o
s
tr
ip
li
n
e
s
tr
u
ctu
r
e
is
ca
p
ab
le
o
f
r
ed
u
ci
n
g
t
h
e
s
ize
o
f
th
e
p
o
w
er
d
iv
id
er
cir
cu
it.
T
h
e
i
m
p
ed
an
c
e
r
atio
o
f
SIT
L
s
is
ta
k
en
i
n
to
ac
co
u
n
t
as
th
e
to
tal
elec
tr
ica
l
len
g
th
o
f
th
e
l
in
e
s
f
o
r
ev
er
y
w
a
v
elen
g
t
h
θ
1
an
d
θ
2
in
o
r
d
er
to
en
h
a
n
ce
t
h
e
s
ize
r
ed
u
ctio
n
to
t
h
e
o
p
ti
m
u
m
.
T
h
e
d
elta
-
s
t
u
b
tech
n
iq
u
e
is
u
s
ed
i
n
ea
ch
b
r
an
ch
li
n
e
o
f
t
h
e
p
o
w
er
d
iv
id
er
cir
cu
it
to
o
b
tain
s
h
o
r
ter
b
r
an
ch
lin
e
s
.
T
h
er
ef
o
r
e,
w
h
e
n
ad
j
u
s
ti
n
g
t
h
e
an
g
le
o
f
th
e
d
elta
-
s
tu
b
,
t
h
e
b
a
n
d
w
id
th
is
w
id
e
n
ed
.
T
h
e
s
er
ies
-
d
elta
s
tu
b
is
i
m
p
le
m
en
ted
i
n
th
e
t
w
o
-
s
ec
t
io
n
W
il
k
i
n
s
o
n
p
o
w
er
d
i
v
id
er
an
d
f
o
ld
in
g
t
h
e
m
icr
o
s
tr
ip
lin
e
to
ac
h
ie
v
e
m
o
r
e
s
ize
r
ed
u
ct
io
n
a
n
d
b
r
o
ad
b
an
d
b
an
d
w
id
th
.
I
n
t
h
i
s
s
tu
d
y
,
a
m
o
d
i
f
ied
W
ilk
i
n
s
o
n
p
o
w
er
d
iv
id
er
s
at
ce
n
tr
e
f
r
eq
u
e
n
c
y
3
GHz
an
d
2
.
4
GHz
w
a
s
f
ab
r
icate
d
u
s
i
n
g
t
h
e
R
T
/Du
r
o
id
5
8
8
0
s
u
b
s
tr
ate
(
ε
r
=
2
.
2
,
tan
δ
=
0
.
0
0
1
,
th
ick
n
e
s
s
,
h
=0
.
3
8
m
m
)
.
2.
D
E
S
I
G
N
P
RO
CE
DU
RE
S
2
.
1
.
Wil
k
i
ns
o
n P
o
w
er
Div
ider
w
i
t
h St
epped I
m
peda
nce
T
ra
n
s
m
is
s
io
n L
ines
(
S
I
T
L
S)
I
n
th
i
s
s
ec
tio
n
,
t
h
e
u
n
i
f
o
r
m
b
r
an
ch
li
n
e
o
f
th
e
co
n
v
e
n
tio
n
a
l
p
o
w
er
d
iv
id
er
w
as
m
o
d
i
f
ied
w
it
h
n
o
n
-
u
n
i
f
o
r
m
SIT
L
s
to
g
e
t
p
h
y
s
ic
al
len
g
t
h
r
ed
u
ct
io
n
[
2
0
]
.
T
h
e
s
tep
p
ed
-
i
m
p
ed
a
n
ce
-
s
t
u
b
li
n
e
s
d
esi
g
n
eq
u
atio
n
s
p
r
o
v
id
e
t
w
o
d
eg
r
ee
s
o
f
f
r
ee
d
o
m
f
o
r
th
e
d
eter
m
in
a
tio
n
o
f
t
h
e
cir
cu
it
d
i
m
e
n
s
io
n
s
.
T
h
es
e
d
eg
r
ee
s
o
f
f
r
ee
d
o
m
ar
e
u
s
ed
to
r
e
d
u
ce
th
e
cir
cu
it
s
ize.
T
h
e
SI
T
L
p
o
s
s
ess
es
t
w
o
d
if
f
er
e
n
t
ch
ar
ac
ter
is
t
ic
i
m
p
ed
an
ce
lin
e
s
an
d
th
e
y
ar
e
s
y
m
m
etr
ical.
A
s
tep
p
ed
-
i
m
p
ed
a
n
ce
tr
a
n
s
m
i
s
s
io
n
li
n
e
c
o
n
s
is
tin
g
o
f
a
lo
w
i
m
p
ed
a
n
ce
lin
e
s
ec
tio
n
an
d
t
w
o
id
en
tical
h
ig
h
i
m
p
e
d
a
n
ce
li
n
e
s
ec
tio
n
s
i
s
d
ep
icted
in
Fi
g
u
r
e
1.
T
h
e
lo
w
i
m
p
ed
a
n
ce
lin
e
s
ec
ti
o
n
is
in
th
e
m
id
d
le
w
it
h
ch
ar
ac
ter
is
tic
θ
1
an
d
th
e
t
w
o
id
en
tical
h
i
g
h
i
m
p
ed
an
ce
l
in
e
s
ec
tio
n
s
w
i
th
ch
ar
ac
ter
is
tic
i
m
p
ed
an
ce
Z
2
a
n
d
elec
tr
ical
le
n
g
t
h
θ
2
ar
e
o
n
b
o
th
s
id
es.
I
n
t
h
i
s
w
o
r
k
,
th
e
to
tal
ar
ea
s
ize
o
f
SIT
L
is
r
ed
u
ce
d
b
y
7
5
.
5
%
co
m
p
ar
ed
to
t
h
e
co
n
v
en
tio
n
a
l
d
esi
g
n
.
K
is
th
e
i
m
p
ed
an
ce
r
atio
o
f
th
e
SIT
L
;
it
is
d
e
fin
ed
as
K
=
Z
2
/
Z
1
>
>1
.
K
is
d
esire
d
to
b
e
v
er
y
h
ig
h
;
h
o
w
e
v
er
,
th
i
s
r
eq
u
ir
es
th
at
Z
2
s
h
o
u
ld
b
e
v
er
y
h
ig
h
as
w
e
ll
r
es
u
lti
n
g
in
a
v
er
y
n
ar
r
o
w
w
id
th
.
I
n
ad
d
itio
n
,
if
Z
1
is
e
x
tr
e
m
e
l
y
lo
w
,
th
i
s
w
ill
r
esu
lt
in
a
v
er
y
w
id
e
lin
e.
Du
e
to
th
i
s
,
it
w
i
l
l
b
e
d
if
f
icu
lt
to
f
ab
r
icate
.
T
h
u
s
,
th
e
d
esire
d
to
tal
elec
tr
ical
le
n
g
t
h
o
f
th
e
s
tr
u
ct
u
r
e
is
θ
t
=
θ
1
+
θ
2
a
n
d
t
h
e
θ
t
s
h
o
u
ld
b
e
le
s
s
th
a
n
7
4
°
at
ce
n
ter
f
r
eq
u
en
c
y
o
f
3
GHz
.
Selectin
g
a
v
er
y
h
ig
h
i
m
p
ed
a
n
ce
r
atio
,
K
is
n
ec
ess
ar
y
to
ac
h
iev
e
co
m
p
ac
t
n
es
s
in
t
h
e
lin
es
len
g
th
;
h
o
w
e
v
er
,
th
e
li
m
itatio
n
s
f
o
r
ac
h
ie
v
i
n
g
v
er
y
h
ig
h
i
m
p
ed
a
n
ce
lin
e
s
W
/
h
<<
1
an
d
v
er
y
lo
w
i
m
p
ed
an
ce
lin
e
s
W
/
h
>>
1
s
h
o
u
ld
b
e
tak
e
n
i
n
to
ac
co
u
n
t.
Fu
r
t
h
er
m
o
r
e,
h
i
g
h
i
m
p
ed
an
ce
r
atio
,
K
lead
s
to
h
i
g
h
d
is
co
n
t
in
u
it
y
ef
f
ec
t
s
.
T
h
e
v
alu
e
s
o
f
SIT
L
at
ce
n
ter
f
r
eq
u
en
c
y
o
f
3
G
Hz
h
av
e
b
ee
n
ca
lc
u
lated
u
s
i
n
g
eq
u
atio
n
s
in
[
21
]
.
T
h
e
y
ar
e
tab
u
la
ted
in
T
ab
le
1
.
T
ab
le
1
.
Desig
n
p
ar
a
m
eter
v
a
l
u
es
f
o
r
Fig
u
r
e
1
(
b
)
P
a
r
a
me
t
e
r
s
V
a
l
u
e
s
P
a
r
a
me
t
e
r
s
V
a
l
u
e
s
K
1
.
2
5
L
3
1
.
0
mm
Z
1
1
0
2
Ω
L
4
6
.
0
mm
Z
2
8
1
Ω
L
5
0
.
2
m
m
θ
1
42°
L
6
0
.
5
m
m
θ
2
19°
W
1
0
.
3
m
m
L
1
, L
2
1
.
5
mm
W
2
0
.
5
m
m
Evaluation Warning : The document was created with Spire.PDF for Python.
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n
d
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n
esia
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J
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4752
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ia
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r
iz
a
tio
n
o
f B
r
o
a
d
b
a
n
d
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i
lkin
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o
n
P
o
w
er Div
id
ers
(
N
a
d
era
N
a
jib
)
243
(
a)
(
b
)
(
c)
Fig
u
r
e
1
.
(
a)
R
ep
lacin
g
t
h
e
u
n
i
f
o
r
m
tr
an
s
m
is
s
io
n
li
n
e
w
it
h
n
o
n
-
u
n
i
f
o
r
m
SIT
L
s
tr
a
n
s
m
is
s
io
n
lin
e
(
b
)
Dim
e
n
s
io
n
s
d
ia
g
r
a
m
o
f
f
o
l
d
ed
s
tep
im
p
ed
an
ce
tr
a
n
s
m
is
s
i
o
n
lin
e
s
(
SIT
L
)
(
c)
P
o
w
er
d
iv
i
d
er
d
esig
n
la
y
o
u
t
2
.
2
.
Wil
k
i
ns
o
n P
o
w
er
Div
ider
w
i
t
h De
lt
a
-
Stub
T
h
e
s
ec
o
n
d
m
o
d
if
ied
W
il
k
i
n
s
o
n
p
o
w
er
d
iv
id
er
is
s
h
o
w
n
i
n
Fi
g
u
r
e
2
(
c)
co
n
s
i
s
ti
n
g
o
f
f
o
ld
ed
m
icr
o
s
tr
ip
tr
a
n
s
m
is
s
io
n
li
n
e
a
n
d
d
elta
-
s
t
u
b
[
2
0
]
.
Delta
-
s
tu
b
is
m
o
d
i
f
ied
b
ased
o
n
s
in
g
le
d
elta
o
p
en
s
tu
b
[
2
2
]
,
[
2
3
]
.
B
y
co
n
s
id
er
in
g
th
e
s
i
n
g
l
e
d
elta
-
s
t
u
b
s
h
o
w
n
i
n
Fi
g
u
r
e
2
(
a)
,
it
ca
n
b
e
d
iv
id
ed
in
to
n
d
is
cr
ete
s
eg
m
e
n
ts
o
f
m
icr
o
s
tr
ip
tr
a
n
s
m
is
s
io
n
li
n
e
o
f
le
n
g
th
δ
.
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h
e
le
n
g
t
h
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s
h
o
u
ld
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tr
ical
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a
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n
g
th
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h
e
n
a
r
r
o
w
w
id
th
s
eg
m
e
n
t
o
f
t
h
e
s
t
u
b
w
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ic
h
h
as
h
i
g
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er
c
h
ar
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te
r
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tic
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m
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ed
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n
ce
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m
er
g
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h
th
e
m
icr
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s
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ip
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s
m
i
s
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o
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e
w
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t
s
e
g
m
e
n
t
o
f
t
h
e
s
t
u
b
w
it
h
lo
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i
m
p
ed
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ce
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la
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s
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le
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ed
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n
ti
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it
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.
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h
e
an
al
y
tica
l
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esi
g
n
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r
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ce
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u
r
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o
f
d
elta
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tu
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ar
e
d
em
o
n
s
tr
ated
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y
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e
tr
a
n
s
m
is
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w
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t
h
s
a
n
d
W
n
o
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th
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e
g
m
en
t i
s
ca
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lated
u
s
i
n
g
(
1
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t
a
n
2
n
Wn
w
h
er
e
n
=0
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1
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.
.
.
.
,
N
(
1
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w
h
er
e
s
u
b
s
cr
ip
t
n
is
th
e
n
u
m
b
er
o
f
th
e
s
e
g
m
e
n
t
s
an
d
θ
is
th
e
v
er
te
x
a
n
g
le
o
f
th
e
d
elta
-
s
tu
b
.
I
t
is
w
o
r
th
to
m
en
tio
n
th
a
t
θ
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26
°
w
a
s
c
h
o
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en
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n
o
r
d
er
to
g
e
t
t
h
e
d
e
s
ir
ed
ce
n
ter
f
r
eq
u
e
n
c
y
o
f
2
.
4
GHz
.
T
h
e
i
n
p
u
t
i
m
p
ed
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ce
,
Z
in
(
n
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f
ea
c
h
n
-
s
e
g
m
e
n
t
is
o
b
tai
n
ed
b
y
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2
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it
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th
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e
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ce
p
tio
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o
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t
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e
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i
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n
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Z
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s
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ce
it
h
as t
h
e
o
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en
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ed
d
is
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n
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n
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it
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n
W
n
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,
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e
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p
u
t i
m
p
ed
a
n
ce
,
Z
in
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n
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o
f
ea
c
h
n
-
s
eg
m
en
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lc
u
lated
:
()
1
t
a
n
(
)
t
a
n
(
)
o
n
i
n
n
i
n
n
i
n
n
i
n
n
o
n
Z
j
Z
ZZ
Z
j
Z
(
2
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th
e
c
h
ar
ac
ter
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tic
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m
p
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ce
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Z
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(
n
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f
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c
h
n
-
s
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g
m
en
t i
s
ex
p
r
ess
ed
as:
120
1
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3
9
3
0
.
6
6
7
l
n
1
.
4
4
4
on
e
n
n
Z
W
h
W
h
(
3
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T
h
e
ef
f
ec
ti
v
e
d
ielec
tr
ic
co
n
s
ta
n
t,
ε
e
in
(
3
)
is
g
i
v
en
a
s
:
11
1
22
1
1
2
rr
e
n
hW
(
4
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
5
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2
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4752
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n
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&
C
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10
,
No
.
1
,
A
p
r
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0
1
8
:
2
4
1
–
2
4
7
244
T
h
e
in
p
u
t
i
m
p
ed
an
ce
o
f
th
e
d
elta
-
s
tu
b
ca
n
b
e
f
o
u
n
d
f
r
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m
th
e
co
m
p
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tat
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n
o
f
th
e
in
p
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t
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m
p
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ce
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ea
ch
ca
s
ca
d
ed
tr
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m
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n
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w
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n
cr
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m
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tal
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s
ta
n
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A
cc
o
r
d
in
g
to
eq
u
atio
n
s
(
1
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to
(
3
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,
n
w
as
c
h
o
s
e
n
to
b
e
4
2
to
en
ab
le
ca
lcu
lati
n
g
th
e
i
m
p
ed
an
ce
o
f
th
e
d
elta
-
s
tu
b
,
Z
in
(
1
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=
5
7
.
9
4
Ω
an
d
Z
in
(
N
)
=
8
3
Ω
.
T
h
e
elec
tr
ical
p
ar
am
eter
s
f
o
r
th
e
d
elta
-
s
tu
b
w
er
e
co
m
p
u
ted
as
W
g
=
0
.
5
m
m
,
L
=
1
.
8
8
m
m
,
r
=
1
.
1
4
m
m
,
θ
=
2
6
°,
W
=
0
.
9
5
mm
,
a
n
d
δ
=
0
.
0
4
8
mm
.
B
y
ad
d
i
n
g
d
elta
-
s
t
u
b
i
n
ea
ch
b
r
an
ch
,
t
h
e
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n
v
en
t
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n
al
q
u
ar
ter
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w
a
v
e
lin
e
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t
w
il
l
b
e
r
ed
u
ce
d
b
y
8
0
%
a
t
th
e
s
a
m
e
ce
n
ter
f
r
eq
u
en
c
y
o
f
2
.
4
GHz
.
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h
e
v
alu
es
o
f
tr
an
s
m
is
s
io
n
l
in
e
d
i
m
en
s
io
n
s
u
s
i
n
g
R
T
/d
u
r
o
id
5
8
8
0
s
u
b
s
tr
ate
w
i
th
h
=
0
.
3
8
m
m
at
2
.
4
GHz
i
n
Fi
g
u
r
e
2
(
b
)
ar
e
L
1
=
3
m
m
,
L
2
=
6
.
2
m
m
,
L
3
= 2
m
m
,
W
1
=
0
.
6
6
m
m
,
a
n
d
W
2
=
0
.
4
2
mm
.
(
a)
(
b
)
(
c)
Fig
u
r
e
2
.
(
a)
Geo
m
etr
y
o
f
th
e
d
elta
-
s
t
u
b
,
(
b
)
d
im
e
n
s
io
n
s
d
ia
g
r
a
m
o
f
tr
a
n
s
m
i
s
s
io
n
lin
e
s
,
(
c)
p
r
o
p
o
s
ed
d
esig
n
la
y
o
u
t
2
.
3
.
T
w
o
Sect
io
n o
f
Wilk
in
s
o
n P
o
w
er
Div
ider
w
it
h Sires
-
da
im
no
nd
s
t
ub
T
h
e
th
ir
d
m
o
d
if
ied
W
il
k
in
s
o
n
p
o
w
er
d
i
v
id
er
cir
cu
t
is
s
h
o
w
n
i
n
Fi
g
u
r
e
3
(
a
)
.
I
n
o
r
d
er
t
o
ac
h
iev
e
a
b
r
o
ad
b
an
d
b
an
d
w
id
th
t
w
o
s
e
ctio
n
s
o
f
W
P
D
a
ttac
h
ed
w
it
h
t
h
r
ee
s
er
ie
s
d
elta
-
s
t
u
b
o
n
ac
h
e
b
r
an
ch
.
T
h
e
t
h
r
ee
s
er
ies
d
elta
-
s
tu
b
is
m
o
d
i
f
ied
b
ased
o
n
a
s
in
g
le
d
elta
o
p
en
s
t
u
b
s
h
o
w
n
i
n
Fi
g
u
r
e
2
(
a)
.
I
m
p
l
e
m
en
tin
g
t
h
e
s
er
is
e
d
elta
-
s
t
u
b
h
elp
to
s
h
i
f
t
t
h
e
h
i
g
h
f
r
eq
u
e
n
c
y
to
lo
w
f
r
eq
u
e
n
c
y
w
h
ile
m
ai
n
tai
n
i
n
g
th
e
s
h
o
r
ter
b
r
an
ch
li
n
es.
T
h
e
an
al
y
tical
d
esi
g
n
p
r
o
ce
d
u
r
e
s
i
n
[
1
9
]
u
s
ed
to
d
esig
n
t
h
e
th
r
ee
s
er
ies
-
d
elta
s
tu
b
.
2
.
2
5
2
.
6
7
1
.
5
1
0
.
0
1
5
.
4
7
1
.
5
5
.
1
7
1
0
.
5
0
.
9
3
2
6
2
5
.
6
8
1
.
5
P
o
r
t
-
1
P
o
r
t
-
2
P
o
r
t
-
3
R
2
R
1
Fig
u
r
e
3
.
T
h
e
lay
o
u
t c
ir
c
u
t o
f
t
w
o
-
s
ec
tio
n
w
il
k
n
s
o
n
p
o
w
er
d
iv
id
er
w
ith
s
ir
es
-
d
elta
s
t
u
b
,
(
th
e
d
i
m
e
n
s
io
n
s
i
n
m
m
u
n
it)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esia
n
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4752
Min
ia
tu
r
iz
a
tio
n
o
f B
r
o
a
d
b
a
n
d
W
i
lkin
s
o
n
P
o
w
er Div
id
ers
(
N
a
d
era
N
a
jib
)
245
T
h
e
Z
1
an
d
Z
2
v
alu
e
ar
e
s
tep
p
ed
i
m
p
ed
an
ce
tr
a
n
s
f
o
r
m
er
s
ec
tio
n
s
m
atc
h
i
n
g
Z
0
a
t
o
u
tp
u
t
to
2
Z
0
at
t
h
e
in
p
u
t
o
v
er
th
e
b
an
d
o
f
f
2
/
f
1
.
T
h
e
im
p
ed
an
ce
s
Z
1
an
d
Z
2
ar
e
ca
lcu
lated
u
s
i
n
g
B
in
o
m
ail
t
r
an
s
f
o
r
m
er
tech
n
iq
e
[2
4
]
an
d
th
e
f
o
llo
w
i
n
g
eq
u
atio
n
ar
e
u
s
ed
to
ca
lcu
late
t
h
e
r
es
is
to
r
s
R
1
an
d
R
2
v
al
u
es:
10
1
12
1
2
1
2
2
ZZ
R
Z
Z
Z
Z
(
5
)
1
1
2
20
1
1
2
1
2
2
2
R
Z
Z
RZ
R
Z
Z
Z
(
6
)
w
h
er
e
2
1
2
1
2
1
1
2
f
f
f
f
,
f
1
=
1
GHz
an
d
f
2
=
6
.
4
GHz
T
h
e
ch
ar
ac
ter
is
tic
i
m
p
ed
an
ce
s
an
d
d
i
m
en
s
io
n
s
o
f
t
h
e
t
w
o
-
s
e
ctio
n
W
P
D
ar
e
lis
ted
in
T
ab
le
2
.
T
ab
le
2
.
T
h
e
ch
ar
ac
ter
is
tics
i
m
p
ed
a
n
ce
o
f
t
w
o
s
ec
tio
n
W
P
D
S
p
e
c
i
f
i
c
a
t
i
o
n
1
st
se
c
t
i
o
n
2
nd
se
c
t
i
o
n
I
mp
e
d
a
n
c
e
(
Z
2
&
Z
1
)
(
Ω
)
8
1
.
9
9
6
0
.
9
8
R
e
si
st
a
n
c
e
(
R
2
&
R
2
)
(
Ω
)
1
0
0
2
0
0
W
i
d
t
h
(
w
)
mm
0
.
4
0
4
0
.
7
6
6
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
T
h
e
f
ir
s
t
p
r
o
p
o
s
ed
W
ilk
in
s
o
n
p
o
w
er
d
iv
id
er
r
esu
lts
u
s
in
g
co
m
p
ac
t
f
o
ld
ed
s
tep
im
p
ed
a
n
ce
tr
an
s
m
is
s
io
n
l
in
e
s
(
FS
I
T
L
)
d
esig
n
f
o
r
o
p
er
atin
g
ce
n
ter
f
r
eq
u
en
c
y
o
f
3
GHz
ar
e
s
h
o
w
n
in
F
ig
u
r
e
3
.
Fi
g
u
r
e
3
(
a)
s
h
o
w
s
t
h
e
s
i
m
u
latio
n
r
esu
l
ts
,
w
h
ile
Fi
g
u
r
e
3
(
b
)
s
h
o
w
s
t
h
e
m
ea
s
u
r
e
m
e
n
t
r
es
u
lt
s
.
Fro
m
Fi
g
u
r
e
3
(
b
)
,
it
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ter
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atin
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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d
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&
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Min
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247
4.
CO
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d
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s
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t
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p
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g
f
r
eq
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n
c
y
r
a
n
g
e.
RE
F
E
R
E
NC
E
S
[1
]
P
o
rc
in
o
D
.
a
n
d
Hir
t
W
.
,
“
Ultra
-
wid
e
b
a
n
d
ra
d
io
tec
h
n
o
lo
g
y
:
p
o
ten
ti
a
l
a
n
d
c
h
a
ll
e
n
g
e
s
a
h
e
a
d
,”
IEE
E
c
o
mm
u
n
ic
a
ti
o
n
s
ma
g
a
zi
n
e
,
v
o
l/
iss
u
e
:
4
1
(7
)
,
p
p
.
66
-
74
,
2
0
0
3
.
[2
]
W
il
k
in
so
n
E
.
J.
,
“
A
n
N
-
w
a
y
h
y
b
rid
p
o
w
e
r
d
iv
id
e
r
,”
IR
E
T
ra
n
s
a
c
ti
o
n
s
o
n
M
icr
o
wa
v
e
T
h
e
o
ry
a
n
d
T
e
c
h
n
i
q
u
e
s
,
v
o
l/
issu
e
:
8
(
1
)
,
p
p
.
1
1
6
-
8
,
1
9
6
0
.
[3
]
W
a
n
g
J
.
,
e
t
a
l.
,
“
M
in
iat
u
rize
d
m
icro
strip
W
il
k
in
so
n
p
o
w
e
r
d
i
v
id
e
r
w
it
h
h
a
rm
o
n
ic
su
p
p
re
ss
io
n
,”
IE
EE
M
icr
o
wa
v
e
a
n
d
W
ire
les
s Co
mp
o
n
e
n
ts
L
e
tt
e
rs
,
v
o
l/
issu
e
:
1
9
(
7
)
,
p
p
.
4
4
0
-
2
,
2
0
0
9
.
[4
]
Co
h
n
S
.
B.
,
“
A
c
las
s
o
f
b
ro
a
d
b
a
n
d
t
h
re
e
-
p
o
rt
T
EM
-
m
o
d
e
h
y
b
rid
s
,”
IEE
E
T
ra
n
s
a
c
ti
o
n
s
o
n
M
icr
o
w
a
v
e
T
h
e
o
ry
a
n
d
T
e
c
h
n
iq
u
e
s
,
v
o
l/
issu
e
:
1
6
(2
)
,
p
p
.
110
-
6
,
1
9
6
8
.
[5
]
Kw
a
n
g
L
.
C
.
a
n
d
S
o
n
g
li
n
Q.
,
“
De
sig
n
o
f
Na
rro
w
b
a
n
d
a
n
d
Bro
a
d
b
a
n
d
W
il
k
in
so
n
P
o
w
e
r
Div
id
e
r
,”
De
sig
n
a
n
d
In
n
o
v
a
ti
o
n
Pr
o
jec
t
–
S
c
h
o
o
l
o
f
El
e
c
trica
l
&
El
e
c
tro
n
ic E
n
g
i
n
e
e
rin
g
,
Na
n
y
a
n
g
T
e
c
h
n
o
lo
g
ica
l
Un
ive
rs
it
y
,
2
0
0
6
.
[6
]
Bo
b
b
a
B
.
,
e
t
a
l.
,
“
De
sig
n
a
n
d
A
n
a
l
y
sis o
f
a
n
Eq
u
a
l
S
p
li
t
W
il
k
in
so
n
P
o
w
e
r
Div
id
e
r
,”
P
ro
p
o
sa
l
De
sig
n
,
2
0
1
0
.
[7
]
Ya
n
g
T
.
a
n
d
L
e
e
S
.
G.
,
“
De
sig
n
o
f
m
il
li
m
e
ter
-
wa
v
e
p
o
w
e
r
d
iv
id
e
r
w
it
h
c
o
u
p
led
li
n
e
,”
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
In
fra
re
d
a
n
d
M
il
li
me
ter
W
a
v
e
s
,
v
o
l/
issu
e
:
2
4
(
8
)
,
p
p
.
1
3
6
1
-
5
,
2
0
0
3
.
[8
]
Ch
e
n
C
.
C
.
,
e
t
a
l.
,
“
A
n
o
v
e
l
m
in
iatu
rize
d
w
id
e
-
b
a
n
d
W
il
k
in
so
n
p
o
w
e
r
d
iv
id
e
r
e
m
p
lo
y
in
g
tw
o
-
d
ime
n
sio
n
a
l
tran
sm
issio
n
li
n
e
,”
i
n
VL
S
I
De
sig
n
,
Au
t
o
ma
ti
o
n
a
n
d
T
e
st,
2
0
0
8
.
VL
S
I
-
DAT
2
0
0
8
,
IEE
E
In
ter
n
a
ti
o
n
a
l
S
y
mp
o
si
u
m
,
p
p
.
2
1
2
-
215
,
2
0
0
8
.
[9
]
Ya
n
g
J
.
,
e
t
a
l
.
,
“
De
sig
n
o
f
n
o
v
e
l
c
o
m
p
a
c
t
c
o
u
p
led
m
icro
strip
p
o
w
e
r
d
iv
id
e
r
w
it
h
h
a
rm
o
n
ic
su
p
p
re
ss
io
n
,”
IEE
E
M
icr
o
wa
v
e
a
n
d
W
ire
les
s Co
mp
o
n
e
n
ts
L
e
tt
e
rs
,
v
o
l/
i
ss
u
e
:
1
8
(
9
)
,
p
p
.
572
-
4
,
2
0
0
8
.
[1
0
]
P
a
z
o
k
i
R
.
,
e
t
a
l.
,
“
A
m
o
d
if
ic
a
ti
o
n
i
n
t
h
e
sin
g
le
-
sta
g
e
w
il
k
in
so
n
p
o
w
e
r
d
iv
id
e
r
to
o
b
tain
w
id
e
r
b
a
n
d
w
id
th
,”
i
n
M
icr
o
wa
v
e
Co
n
fer
e
n
c
e
,
2
0
0
7
.
AP
M
C
2
0
0
7
.
Asi
a
-
P
a
c
if
ic
,
p
p
.
1
-
4
,
2
0
0
7
.
[1
1
]
L
i
m
J
.
S
.
,
e
t
a
l.
,
“
A
8
0
0
-
t
o
3
2
0
0
-
M
Hz
w
id
e
b
a
n
d
C
P
W
b
a
lu
n
u
sin
g
m
u
lt
istag
e
W
il
k
in
so
n
stru
c
tu
re
,”
in
M
icr
o
wa
v
e
S
y
mp
o
si
u
m Dig
e
st,
2
0
0
6
.
IEE
E
M
T
T
-
S
In
ter
n
a
ti
o
n
a
l,
p
p
.
1
1
4
1
-
1
1
4
4
,
2
0
0
6
.
[1
2
]
P
a
rk
M
.
J.
,
“
Du
a
l
-
b
a
n
d
W
il
k
in
so
n
d
iv
id
e
r
w
it
h
c
o
u
p
le
d
o
u
t
p
u
t
p
o
r
t
e
x
ten
sio
n
s
,”
I
EE
E
T
ra
n
sa
c
ti
o
n
s
o
n
M
icr
o
wa
v
e
T
h
e
o
ry
a
n
d
T
e
c
h
n
i
q
u
e
s
,
v
o
l/
issu
e
:
5
7
(
9
)
,
p
p
.
2
2
3
2
-
7
,
2
0
0
9
.
[1
3
]
Ka
o
J
.
C
.
,
e
t
a
l
.
,
“
A
m
o
d
if
ied
W
i
lk
in
so
n
p
o
w
e
r
d
iv
id
e
r
w
it
h
is
o
lati
o
n
b
a
n
d
w
id
th
im
p
ro
v
e
m
e
n
t
,”
IEE
E
tra
n
sa
c
ti
o
n
s
o
n
mic
ro
w
a
v
e
th
e
o
ry
a
n
d
tec
h
n
i
q
u
e
s
,
v
o
l/
issu
e
:
6
0
(
9
)
,
p
p
.
2
7
6
8
-
80
,
2
0
1
2
.
[1
4
]
Ba
o
Z
.
a
n
d
Ko
n
g
D.
,
“
T
h
e
d
e
s
ig
n
o
f
t
w
o
-
w
a
y
N
-
se
c
ti
o
n
e
q
u
a
l
sp
li
t
W
il
k
in
so
n
p
o
w
e
r
d
iv
id
e
rs
a
n
d
th
e
lo
ss
a
n
a
ly
sis
,”
i
n
An
te
n
n
a
s a
n
d
Pr
o
p
a
g
a
ti
o
n
(
AP
CAP
),
2
0
1
4
3
rd
Asi
a
-
Pa
c
if
ic Co
n
fer
e
n
c
e
o
n
,
p
p
.
1
3
4
-
1
3
6
,
2
0
1
4
.
[1
5
]
T
se
n
g
C
.
H
.
a
n
d
W
u
C
.
H.
,
“
Co
m
p
a
c
t
p
lan
a
r
W
il
k
in
so
n
p
o
w
e
r
d
iv
id
e
r
u
sin
g
π
-
e
q
u
iv
a
len
t
sh
u
n
t
-
stu
b
-
b
a
se
d
a
rti
f
icia
l
tran
s
m
issio
n
li
n
e
s
,”
El
e
c
tro
n
ics
L
e
tt
e
rs
,
v
o
l/
issu
e
:
4
6
(1
9
)
,
p
p
.
1
3
2
7
-
8
,
2
0
1
0
.
[1
6
]
T
a
n
g
C
.
W
.
a
n
d
Ch
e
n
M
.
G.
,
“
S
y
n
th
e
siz
in
g
m
icro
strip
b
ra
n
c
h
-
li
n
e
c
o
u
p
lers
w
it
h
p
re
d
e
term
in
e
d
c
o
m
p
a
c
t
siz
e
a
n
d
b
a
n
d
w
id
th
,”
IEE
E
T
ra
n
s
a
c
ti
o
n
s o
n
M
icr
o
wa
v
e
T
h
e
o
ry
a
n
d
T
e
c
h
n
iq
u
e
s
,
v
o
l/
issu
e
:
5
5
(
9
)
,
p
p
.
1
9
2
6
-
34
,
2
0
0
7
.
[1
7
]
S
e
d
ig
h
y
S
.
H
.
a
n
d
Kh
a
laj
A
.
M.
,
“
Co
m
p
a
c
t
W
il
k
in
so
n
p
o
w
e
r
d
iv
id
e
r
u
sin
g
ste
p
p
e
d
im
p
e
d
a
n
c
e
tran
s
m
is
sio
n
li
n
e
s
,”
J
o
u
rn
a
l
o
f
El
e
c
tro
ma
g
n
e
ti
c
W
a
v
e
s a
n
d
Ap
p
li
c
a
ti
o
n
s
,
v
o
l/
issu
e
:
2
5
(
1
3
)
,
p
p
.
1
7
7
3
-
82
,
2
0
1
1
.
[1
8
]
Co
im
b
ra
a
n
d
M
a
u
r
o
L
.
,
“
T
h
e
g
e
n
e
ra
li
z
e
d
d
e
lt
a
stu
b
s
,”
I
n
ter
n
a
ti
o
n
a
l
M
icr
o
wa
v
e
S
y
mp
o
si
u
m
,
1
9
8
7
.
[1
9
]
Na
d
e
ra
A
.
a
n
d
Ko
k
Y.
,
“
W
id
e
b
a
n
d
a
n
d
Co
m
p
a
c
t
W
il
k
in
so
n
P
o
w
e
r
Div
id
e
r
Util
izin
g
S
e
ries
De
lt
a
-
S
tu
b
a
n
d
F
o
l
d
e
d
S
tep
p
e
d
-
Im
p
e
d
a
n
c
e
T
ra
n
sm
i
ss
io
n
L
in
e
,”
Ra
d
i
o
e
n
g
in
e
e
rin
g
J
o
u
rn
a
l
,
(
w
il
l
b
e
p
u
b
li
s
h
e
d
o
n
F
e
b
2
0
1
8
).
[2
0
]
Na
d
e
ra
N
.
a
n
d
Ko
k
Y.
,
“
Co
m
p
a
c
t
a
n
d
W
id
e
b
a
n
d
M
o
d
if
ied
W
il
k
in
so
n
P
o
w
e
r
Div
id
e
rs
,”
4
th
IEE
E
In
ter
n
a
ti
o
n
a
l
Co
n
fer
e
n
c
e
o
n
S
m
a
rt I
n
str
u
me
n
ta
ti
o
n
,
M
e
a
su
re
me
n
t
a
n
d
Ap
p
li
c
a
t
i
o
n
s (
ICS
IM
A)
,
2
0
1
7
.
[2
1
]
De
n
g
P
.
H
.
,
e
t
a
l.
,
“
Ne
w
W
il
k
in
so
n
p
o
w
e
r
d
iv
id
e
rs
b
a
se
d
o
n
c
o
m
p
a
c
t
ste
p
p
e
d
-
im
p
e
d
a
n
c
e
tran
s
m
is
sio
n
li
n
e
s
a
n
d
sh
u
n
t
o
p
e
n
st
u
b
s
,”
Pr
o
g
re
ss
In
E
l
e
c
tro
ma
g
n
e
ti
c
s R
e
se
a
rc
h
,
v
o
l.
1
2
3
,
p
p
.
4
0
7
-
26
,
2
0
1
2
.
[2
2
]
Zh
o
u
B
.
,
e
t
a
l.
,
“
A
m
o
d
if
ied
U
W
B
W
il
k
in
so
n
p
o
w
e
r
d
iv
id
e
r
u
sin
g
d
e
lt
a
st
u
b
,”
Pro
g
re
ss
i
n
El
e
c
tro
ma
g
n
e
ti
c
s
Res
e
a
rc
h
L
e
tt
e
rs
,
v
o
l.
19
,
p
p
.
49
-
55
,
2
0
1
0
.
[2
3
]
N.
Ed
w
a
rd
,
e
t
a
l.
,
“
Re
c
o
n
f
ig
u
ra
b
le
F
e
e
d
in
g
Ne
tw
o
rk
w
it
h
Du
a
l
-
ba
n
d
F
il
ter
f
o
r
W
iM
AX
A
p
p
li
c
a
ti
o
n
,”
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
E
lec
trica
l
a
n
d
C
o
mp
u
ter
En
g
in
e
e
rin
g
(
IJ
ECE
)
,
v
o
l/
issu
e
:
7
(5
)
,
p
p
.
2
4
1
1
-
2
4
1
9
,
2
0
1
7
.
[2
4
]
P
o
z
a
r
D
.
M.
,
“
M
icro
w
a
v
e
e
n
g
in
e
e
rin
g
,”
Jo
h
n
W
il
e
y
&
S
o
n
s
,
2
0
0
9
.
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