T
E
L
KO
M
N
I
KA
T
e
lec
om
m
u
n
icat
ion
,
Com
p
u
t
i
n
g,
E
lec
t
r
on
ics
an
d
Cont
r
ol
Vol.
18
,
No.
1
,
F
e
br
ua
r
y
2020
,
pp.
46
5
~
47
5
I
S
S
N:
1693
-
6930,
a
c
c
r
e
dit
e
d
F
ir
s
t
G
r
a
de
by
Ke
me
nr
is
tekdikti
,
De
c
r
e
e
No:
21/E
/KP
T
/2018
DO
I
:
10.
12928/
T
E
L
KO
M
NI
KA
.
v18i1.
12447
465
Jou
r
n
al
h
omepage
:
ht
tp:
//
jour
nal.
uad
.
ac
.
id/
index
.
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R
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a
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e
pted
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t
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20
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T
h
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o
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e
w
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s
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g
n
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f
a
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ro
s
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co
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p
l
ed
mi
cro
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ri
p
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a
n
d
p
as
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fi
l
t
er
(MBPF)
b
as
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o
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h
a
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rp
i
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d
efect
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g
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u
n
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s
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ct
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re
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accu
ra
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e
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o
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p
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t
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ech
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r
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ems
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h
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ed
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affect
s
s
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fi
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res
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e.
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t
h
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s
p
ap
er,
a
fo
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r
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rd
er
Ch
e
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y
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e
v
t
o
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o
l
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y
h
a
s
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een
a
d
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p
t
e
d
fo
r
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e
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g
n
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n
g
t
h
e
f
i
l
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er
t
o
s
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p
p
re
s
s
h
armo
n
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c
s
an
d
ach
i
ev
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a
v
er
y
co
m
p
act
s
i
ze
an
d
a
w
i
d
e
s
t
o
p
b
a
n
d
w
i
t
h
t
w
o
t
ran
s
mi
s
s
i
o
n
zer
o
s
.
K
e
y
w
o
r
d
s
:
C
oupli
ng
m
a
tr
ix
(
C
M
)
C
r
os
s
c
oupli
ng
(
C
C
)
Ha
ir
pin
-
d
e
f
e
c
ted
g
r
ound
s
tr
uc
tur
e
(
Ha
ir
pin
-
DG
S
)
M
icr
os
tr
ip
b
a
ndpa
s
s
f
il
ter
(
M
B
P
F
)
T
r
a
ns
mi
s
s
ion
z
e
r
os
Th
i
s
i
s
a
n
o
p
en
a
c
ces
s
a
r
t
i
c
l
e
u
n
d
e
r
t
h
e
CC
B
Y
-
SA
l
i
ce
n
s
e
.
C
or
r
e
s
pon
din
g
A
u
th
or
:
C
he
ti
oui
M
oha
mm
e
d,
L
a
bor
a
tor
y
of
T
e
lec
omm
unica
ti
ons
,
Unive
r
s
it
y
of
Aboube
kr
B
e
lkaid
of
T
lemc
e
n,
Alge
r
ia
.
E
mail:
c
he
ti
oui
.
mohammed@
ya
hoo.
f
r
1.
I
NT
RODU
C
T
I
ON
High
pe
r
f
or
manc
e
a
nd
li
ghtwe
ight
f
il
ter
ing
mec
ha
nis
ms
of
ten
only
s
a
ti
s
f
y
the
r
igor
ous
de
mands
of
moder
n
mi
c
r
owa
ve
c
omm
unica
ti
on
s
ys
tems
.
T
he
c
oupled
mi
c
r
os
tr
ip
ba
ndpa
s
s
f
il
ter
ha
s
be
e
n
wide
ly
r
e
a
li
z
e
d
a
nd
br
oa
dly
us
e
d
in
s
e
ve
r
a
l
mi
c
r
owa
ve
s
ys
tem
s
to
obtain
high
pe
r
f
or
manc
e
,
s
mall
a
r
e
a
a
nd
low
c
ha
r
g
e
a
nd
to
mee
t
s
tr
ictly
ne
c
e
s
s
a
r
y
tr
a
ns
mi
s
s
ion
r
e
quir
e
ments
.
S
e
ve
r
a
l
of
thes
e
f
il
ter
s
we
r
e
doc
u
mente
d
us
ing
f
r
a
mew
or
k
c
a
ll
e
d
the
de
f
e
c
ted
gr
ound
s
tr
uc
tur
e
s
that
a
r
e
inves
ti
ga
ted
by
e
tching
of
f
a
de
f
e
c
ti
ve
gr
ound
laye
r
pa
tt
e
r
n
[
1]
.
An
e
tche
d
de
f
e
c
t
dis
r
upt
the
dis
tr
ibut
ion
o
f
the
s
hield
c
ur
r
e
nt
in
the
g
r
ound
laye
r
[
2]
.
S
e
e
ing
a
s
D
GS
c
e
ll
s
ha
ve
ne
c
e
s
s
a
r
il
y
r
e
s
ona
nt
pr
ope
r
ti
e
s
,
they
we
r
e
us
e
d
to
e
nha
nc
e
the
s
top
a
nd
pa
s
s
-
ba
nd
c
ha
r
a
c
te
r
is
ti
c
s
in
the
f
il
ter
ing
c
ir
c
uit
s
.
T
he
DG
S
wa
s
s
ugge
s
ted
to
i
mpr
ove
the
s
uppr
e
s
s
ion
of
f
ictit
ious
r
e
s
pons
e
of
l
ow
-
pa
s
s
f
il
ter
s
f
r
om
mi
c
r
os
tr
ips
a
nd
c
oupled
ba
nd
-
pa
s
s
f
il
te
r
s
f
r
om
mi
c
r
os
tr
ip
li
ne
.
DG
S
is
not
s
e
e
n
a
s
th
e
c
e
ntr
a
l
buil
ding
blocks
in
a
ll
thes
e
r
e
por
ts
;
r
a
ther
,
they
a
r
e
us
e
d
to
im
pr
o
ve
the
r
e
s
pons
e
of
the
a
l
r
e
a
dy
buil
t
ins
tr
uments
s
uc
h
a
s
c
oupler
s
a
nd
f
il
te
r
s
[
3,
4]
.
T
he
f
a
s
t
g
r
owth
of
moder
n
wir
e
les
s
c
omm
unica
ti
on
ha
s
incr
e
a
s
e
d
the
de
mand
f
or
c
ompac
t,
low
c
os
t
a
nd
high
-
pe
r
f
or
manc
e
c
omponents
.
One
of
the
e
s
s
e
nti
a
l
c
omponents
of
moder
n
wir
e
les
s
c
omm
unica
ti
on
s
ys
tems
is
the
mi
c
r
os
tr
ip
f
il
ter
[
5
-
7]
.
M
icr
os
tr
ip
low
-
pa
s
s
fi
lt
e
r
o
f
e
xtr
e
mely
-
wide
s
topband
is
a
ls
o
a
ve
r
y
im
por
tant
pa
r
t
in
wir
e
les
s
tr
a
ns
mi
s
s
ion
s
tr
uc
tur
e
s
f
or
the
s
uppr
e
s
s
ion
of
unde
s
ir
e
d
highe
r
f
r
e
que
nc
y
h
a
r
moni
c
s
.
T
he
mode
r
n
wi
r
e
les
s
c
omm
unica
ti
on
de
mands
c
ompac
t
f
il
ter
s
with
with
low
ins
e
r
ti
on
los
s
a
nd
e
leva
ted
pa
s
s
ba
nd
r
e
tur
n
los
s
a
nd
lar
ge
s
topband
dis
a
ll
owa
nc
e
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
1693
-
6930
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
,
Vol.
18
,
No
.
1
,
F
e
br
ua
r
y
2020
:
46
5
-
47
5
466
I
n
thi
s
c
ontext,
thi
s
pa
pe
r
pr
e
s
e
nts
a
de
s
ign
of
a
c
r
os
s
-
c
oupli
ng
mi
c
r
os
tr
ip
ba
ndpa
s
s
f
il
ter
f
oc
us
e
d
on
ha
ir
pin
-
de
f
e
c
ted
gr
ound
s
tr
uc
tur
e
r
e
s
ona
tor
s
us
ing
a
c
c
ur
a
te
matr
ix
tec
hnique
f
or
mi
c
r
owa
ve
c
om
mu
nica
ti
on
s
ys
tems
[
8
-
10]
.
T
he
c
om
pa
r
a
ble
c
ir
c
uit
of
the
s
ugge
s
ted
s
e
c
ti
on
of
the
DG
S
unit
is
de
r
ived
us
e
the
f
ield
a
na
lys
is
tec
hnique
[
11,
12]
.
T
he
r
e
s
ult
s
of
the
s
im
ulation
c
r
e
a
te
good
c
ons
is
tenc
y
with
the
th
e
or
e
ti
c
a
l
f
indi
ngs
with
a
br
oa
d
s
uppr
e
s
s
ion
o
f
ha
r
moni
c
s
,
a
ve
r
y
c
ompac
t
s
ize
a
nd
a
s
mall
s
top
ba
nd
with
two
tr
a
ns
mi
s
s
ion
z
e
r
os
.
2.
M
E
M
S
HAI
RP
I
N
-
DGS
CE
L
L
F
RE
QUE
NC
Y
CHAR
AC
T
E
R
I
S
T
I
CS
T
he
F
igur
e
1(
a
)
de
mons
tr
a
tes
a
DG
S
c
e
ll
in
the
s
h
a
pe
of
a
ha
ir
pin
with
a
mi
c
r
os
tr
ip
li
ne
50
-
Ohm
on
top.
T
he
DG
S
is
c
a
r
ve
d
in
the
g
r
ound
laye
r
of
bot
tom
meta
l
[
13,
14]
.
T
he
E
M
s
im
ulation
is
c
a
r
r
ied
in
f
or
a
s
ubs
tr
a
te
at
a
r
e
lative
diele
c
tr
ic
o
f
ε
r
=
3.
38
a
nd
a
thi
c
kne
s
s
of
h
=
0
.
813
m
m.
T
he
f
if
ty
-
Ohm
m
icr
os
tr
ip
s
e
c
ti
on
is
w
=
1
.
85
mm
in
width
a
nd
the
ha
i
r
pin
-
DG
S
dim
e
ns
ions
a
r
e
:
a
=
15.
5
mm
,
b
=
1
2.
5
mm
,
c
=
4.
5
mm
,
f
=
3
mm
,
g
=
0.
5
mm
,
w
r
=
1.
5
mm
a
s
e
xpos
e
d
in
F
igur
e
1
(
b
)
.
DG
S
c
e
ll
s
a
r
e
a
na
lyze
d
us
ing
High
F
r
e
que
nc
y
S
tr
uc
tu
r
e
S
im
ulation
(
AN
S
Y
S
-
HFS
S
)
s
of
twa
r
e
[
15
,
16]
.
F
igur
e
1
(
c
)
i
ndica
tes
the
c
ha
r
a
c
ter
is
ti
c
o
f
a
one
-
pole
low
-
pa
s
s
f
il
ter
wit
h
a
n
a
tt
e
nua
ti
on
pole
f
r
e
que
nc
y
f
0
a
t
5.
2
GH
z
a
nd
a
c
utof
f
f
r
e
que
nc
y
of
-
3
dB
f
c
a
s
s
hown
in
T
a
ble
1
.
(
a
)
(
b)
(
c
)
F
ig
ur
e
1.
P
r
opos
e
d
Ha
i
r
pin
-
DG
S
c
e
ll
:
(
a
)
3D
view
,
(
b)
d
im
e
ns
s
ions
,
(
c
)
s
im
ulate
d
S
-
pa
r
a
mete
r
s
3.
F
I
E
L
D
AL
L
OCA
T
I
ON
OVE
R
T
HE
CE
L
L
HAI
RP
I
N
-
DGS
T
his
s
e
c
ti
on
a
im
s
a
t
inves
ti
ga
ti
ng
the
r
e
li
a
nc
e
of
t
he
c
or
r
e
s
ponding
c
ir
c
uit
e
leme
nts
(
inducta
nc
e
a
nd
c
a
pa
c
it
y)
on
the
s
ubs
tr
a
te
known
a
s
pr
opa
ga
ti
o
n
of
e
lec
tr
omagne
ti
c
f
ields
.
T
he
e
lec
tr
ic
f
ield
is
he
a
vil
y
c
onc
e
ntr
a
ted
in
the
ga
p
in
F
igur
e
2
(
a
)
,
s
o
a
ny
c
ha
nge
in
the
pa
r
a
mete
r
s
of
the
ga
p
inf
luenc
e
s
the
s
t
r
uc
tur
e
's
e
f
f
e
c
ti
ve
c
a
pa
c
it
a
nc
e
[
17,
18
]
.
T
he
c
a
lcula
ted
ma
gne
ti
c
a
nd
e
lec
tr
ica
l
f
ield
de
ns
it
ies
us
ing
HFS
S
a
r
e
s
e
e
n
in
F
igur
e
2
(
b)
.
W
hich
c
a
n
be
s
e
e
n,
the
magne
ti
c
f
ield
is
f
oc
us
e
d
a
c
r
os
s
the
c
e
ntr
a
l
gr
ound
li
ne
,
s
o
th
e
c
e
ntr
a
l
gr
ound
li
ne
de
ter
m
ines
the
inducta
nc
e
.
T
he
e
lec
tr
i
c
f
ield
is
dis
tr
ibu
ted
a
c
r
os
s
the
e
ngr
a
ve
d
s
pa
c
e
s
,
r
e
f
lec
ti
ng
the
c
a
pa
c
it
a
nc
e
[
17
-
19
]
.
T
he
s
lot
-
he
a
d
r
e
gion
r
e
g
ulate
s
e
s
s
e
nti
a
ll
y
the
inducta
nc
e
[
20,
21]
whil
e
th
e
li
nking
s
ha
pe
d
s
lot
width
"
g"
r
e
gulate
s
the
c
a
pa
c
it
a
nc
e
[
22,
23]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
A
nov
e
l
c
r
os
s
-
c
oupled
mic
r
os
tr
ip
bandpas
s
fi
lt
e
r
w
it
h
hair
pin
-
DG
S
r
e
s
onator
s
…
.
(
C
he
ti
oui
M
oham
me
d)
467
F
ig
ur
e
2.
E
lec
tr
omagne
ti
c
f
ield
pe
r
tur
ba
ti
on
ove
r
t
he
Ha
ir
pin
-
DG
S
c
e
ll
:
(
a
)
e
lec
tr
ic
f
ield
de
ns
it
y,
(
b
)
magne
ti
c
f
ield
de
ns
it
y
4.
M
ODE
L
I
NG
P
AR
AM
E
T
E
R
E
XT
R
AC
T
E
D
OF
HAI
RP
I
N
-
DGS
CE
L
L
A
s
im
pli
f
ied
e
quivale
nt
c
ir
c
uit
model
f
or
the
ha
ir
p
in
-
s
lot
of
DGS
s
tr
uc
tur
e
f
or
the
s
ugge
s
ted
fi
lt
e
r
is
pr
e
s
e
nted
in
F
igur
e
3
.
T
he
L
P
a
nd
C
P
pa
r
a
mete
r
s
c
a
n
be
de
r
ived
f
r
o
m
the
ha
i
r
pin
-
DG
S
c
e
ll
's
t
r
a
ns
mi
s
s
ion
c
ha
r
a
c
ter
is
ti
c
s
us
ing
tr
a
dit
ional
tec
hniques
[
24]
:
5
22
p
C
f
c
pF
ff
oc
=
−
(
1
)
(
)
250
2
p
p
L
C
nH
f
o
=
(
2)
f
r
om
F
igur
e
1
(
b)
,
f
c
with
GH
z
is
the
c
ut
-
of
f
f
r
e
q
ue
nc
y
of
the
s
topband
r
e
s
pons
e
of
the
s
lot
a
t
-
3
d
B
a
nd
f
0
with
GH
z
is
it
s
z
e
r
o
tr
a
ns
mi
s
ion
.
E
f
f
icie
nc
y
C
g
a
p
r
e
f
e
r
s
to
the
c
oupli
ng
be
twe
e
n
the
c
e
ntr
a
l
gr
ound
li
ne
a
nd
the
meta
ll
iza
ti
on
of
the
int
e
r
na
l
meta
l
a
r
ms
c
ont
r
ibut
ion
[
25]
,
whe
r
e
a
s
C
2
c
ontr
ibut
e
s
to
the
int
e
r
n
a
l
meta
l
a
r
ms
e
f
f
icie
nc
y
c
ontr
ibut
ion
.
C
1
r
e
f
e
r
s
to
the
c
on
tr
ibut
ion
made
by
the
ha
ir
pin
-
DG
S
c
e
l
l
to
a
bil
it
y
without
a
ny
of
the
inf
luenc
e
of
the
int
e
r
na
l
meta
l
a
r
ms
.
C
1
,
C
2
a
nd
C
g
a
p
c
a
n
be
de
ter
mi
ne
d
f
r
om
thr
e
e
dis
ti
nc
t
model
tr
a
ns
mi
s
s
ion
pr
ope
r
ti
e
s
of
thr
e
e
ha
i
r
pin
-
DG
S
c
e
ll
va
r
iations
.
T
he
ope
n
loop
s
qua
r
e
f
il
te
r
s
va
r
iat
ions
a
r
e
s
hown
in
F
igur
e
s
4
,
5
a
nd
6.
(
a
)
(
b)
F
ig
ur
e
3.
Ha
ir
pin
-
DG
S
c
e
ll
:
(
a
)
H
F
S
S
e
leme
nts
,
(
b
)
e
xtr
a
c
ted
e
quivale
nt
c
i
r
c
uit
e
leme
nts
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
1693
-
6930
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
,
Vol.
18
,
No
.
1
,
F
e
br
ua
r
y
2020
:
46
5
-
47
5
468
4.
1.
F
irs
t
var
iat
ion
W
it
hout
the
inner
meta
l,
s
o
C
2
=
0
a
nd
C
g
a
p
=
0
r
e
s
ult
ing
in:
C
1
=
C
v1
=
1
.
4719
pF
(
3)
w
he
r
e
C
v1
f
o
r
the
f
ir
s
t
va
r
iation
is
the
s
tanda
r
d
c
ir
c
uit
pa
r
a
mete
r
f
r
om
(
1)
.
4.
2.
S
e
c
on
d
var
iat
ion
W
it
hout
the
dif
f
e
r
e
nc
e
be
twe
e
n
the
c
e
nter
g
r
oun
d
tr
a
ns
mi
s
s
ion
li
ne
a
nd
the
int
e
r
na
l
meta
l
a
r
ms
(
r
e
s
pe
c
ti
ve
ly
C
g
a
p
=
∞
)
lea
d
ing
in:
C
2
=
C
1
-
C
v2
(
4)
w
he
n
C
v
1
2
f
or
the
s
e
c
ond
va
r
iation
is
the
s
tanda
r
d
c
ir
c
uit
pa
r
a
mete
r
(
1)
,
C
2
=
4,
338
pF
.
4.
3.
T
h
ird
var
iat
ion
To
the
ga
p
be
twe
e
n
the
c
e
nter
g
r
ound
t
r
a
ns
mi
s
s
ion
li
ne
a
nd
the
int
e
r
na
l
meta
l
a
r
ms
lea
d
ing
in
:
C
g
a
p
=
C
2
(
C
2
(
C
v3
−
C
1
)
−
1
)
(
5
)
w
he
r
e
C
v3
is
the
s
tanda
r
d
c
ir
c
uit
pa
r
a
mete
r
f
or
3r
d
va
r
iation
f
r
om
(
1
)
,
C
g
a
p
=
3
.
318
pF
.
T
he
e
quivale
nt
c
ir
c
uit
pa
r
a
mete
r
s
f
or
C
1
=
1.
4719
pF
,
C
2
=
4.
338
pF
,
C
g
a
p
=
3
.
3182
pF
,
L
p
=
2
.
845
nH
a
r
e
e
xtr
a
c
ted
a
s
s
hown
the
T
a
ble
1
.
T
he
thor
ough
e
quivale
nt
ha
ir
pin
-
DG
S
c
e
ll
c
ir
c
uit
c
a
n
be
s
e
e
n
in
F
igur
e
7
.
T
a
ble
1.
Da
ta
de
r
ived
a
nd
mea
s
ur
e
d
f
or
the
th
r
e
e
Ha
ir
pin
-
DG
S
c
e
ll
va
r
iations
1
st
va
r
ia
ti
on
2
nd
va
r
ia
ti
on
3
rd
va
r
ia
ti
on
f
c
in
G
H
z
1.9
1.2
1.39
f
0
in
G
H
z
2.38
1.33
1.61
C
i
n pF
C
v1
=
1.4719
C
v2
=
5.81
C
v3
=
3.352
(
a
)
(
b)
F
ig
ur
e
4.
Ha
ir
pin
-
DG
S
c
e
ll
1
st
va
r
iation
:
(
a
)
t
opology
of
the
c
onc
e
ptual
ha
ir
pin
c
e
ll
-
DGS
,
(
b)
r
e
s
ult
s
S
-
pa
r
a
mete
r
s
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
A
nov
e
l
c
r
os
s
-
c
oupled
mic
r
os
tr
ip
bandpas
s
fi
lt
e
r
w
it
h
hair
pin
-
DG
S
r
e
s
onator
s
…
.
(
C
he
ti
oui
M
oham
me
d)
469
(
a
)
(
b)
F
ig
ur
e
5.
Ha
ir
pin
-
DG
S
c
e
ll
2
nd
Va
r
iation:
(
a
)
t
opology
of
the
c
onc
e
ptual
ha
ir
pin
c
e
ll
-
DG
S
,
(
b)
r
e
s
ult
s
S
-
pa
r
a
mete
r
s
(
a
)
(
b)
F
ig
ur
e
6.
Ha
ir
pin
-
DG
S
c
e
ll
3
rd
Va
r
iation:
(
a
)
t
opology
of
the
c
onc
e
ptual
ha
ir
pin
c
e
ll
-
DG
S
,
(
b)
r
e
s
ult
s
S
-
pa
r
a
mete
r
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
1693
-
6930
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
,
Vol.
18
,
No
.
1
,
F
e
br
ua
r
y
2020
:
46
5
-
47
5
470
(
a
)
(
b)
F
ig
ur
e
7.
Ha
ir
pin
-
DG
S
c
e
ll
:
(
a
)
e
quivale
nt
c
ir
c
uit
,
(
b)
s
im
ulate
d
S
-
pa
r
a
mete
r
s
5.
DE
S
I
GN
OF
T
HE
S
E
COND
ORDE
R
M
B
P
F
U
S
I
NG
HAI
RP
I
N
-
DGS
CE
L
L
I
n
or
de
r
to
a
c
hieve
a
us
e
f
ul
de
s
ign
mi
c
r
os
tr
ip
ba
ndpa
s
s
f
il
ter
,
t
wo
of
the
ha
ir
pin
-
DG
S
c
e
ll
s
(
r
e
s
ona
tor
s
)
a
lr
e
a
dy
identif
ied
we
r
e
c
ombi
ne
d
.
T
h
e
M
B
P
F
is
s
im
ulate
d
with
a
c
e
nter
f
r
e
que
nc
y
f
0
=
1.
34
GH
z
a
nd
a
f
r
a
c
ti
ona
l
ba
ndwidth
F
B
W
=
11
.
8%
with
r
e
tur
n
los
s
R
L
=
20
dB
.
B
oth
r
e
s
ona
tor
s
a
r
e
s
ymm
e
tr
ic
a
nd
is
olate
d
by
a
dis
tanc
e
S
a
s
s
e
e
n
in
F
igu
r
e
8
.
T
w
o
f
if
ty
-
Ohm
mi
c
r
os
tr
ip
li
ne
s
s
ymm
e
tr
ica
ll
y
f
e
e
d
the
DG
S
ha
ir
pin
r
e
s
ona
tor
s
.
T
he
na
tur
e
of
the
f
e
e
d
us
e
d
in
f
l
ue
nc
e
s
the
f
il
ter
r
e
s
pons
e
.
A
s
ymm
e
tr
ica
l
C
he
bys
he
v
r
e
s
pons
e
is
obtaine
d
by
us
ing
the
f
e
e
d
a
r
r
a
nge
ment
s
e
e
n
in
F
igur
e
9
.
T
he
e
xter
na
l
qua
li
ty
f
a
c
tor
is
obtain
e
d
by
c
ha
ng
ing
the
e
xpa
nde
d
s
tub.
T
he
r
e
s
ona
nt
f
r
e
que
nc
y
of
th
e
c
a
vi
ty
is
s
e
ns
ibl
e
to
the
length
of
the
s
tub
.
F
igur
e
10
s
hows
the
r
e
s
pons
e
of
the
one
tr
a
ns
mi
s
s
ion
z
e
r
o
be
c
a
us
e
the
f
e
e
ding
li
ne
s
pa
s
s
ve
r
y
c
los
e
to
the
s
e
c
ond
r
e
s
ona
tor
a
nd
a
r
e
poo
r
ly
c
oupled
.
T
he
tr
a
ns
mi
s
s
ion
z
e
r
o
loca
ti
on
c
a
n
be
ope
r
a
ted
by
incr
e
a
s
ing
the
f
e
e
d
li
ne
s
to
f
if
ty
-
Ohm
.
T
wo
tr
a
ns
mi
s
s
ion
z
e
r
os
a
r
e
obtaine
d
a
s
s
hown
in
F
igur
e
11,
due
to
the
c
r
os
s
-
c
oupli
ng
be
twe
e
n
the
input
a
nd
the
output
por
ts
.
B
y
c
ha
nging
the
dis
tanc
e
be
twe
e
n
the
f
if
ty
mi
c
r
os
tr
ip
f
e
e
d
l
ines
,
the
loca
ti
on
of
the
t
r
a
ns
mi
s
s
ion
z
e
r
os
c
a
n
be
c
ontr
oll
e
d.
(
a
)
(
b)
F
ig
ur
e
8.
C
oupled
ha
ir
pin
-
DG
S
M
B
P
F
:
(
a
)
3D
vie
w,
(
b
)
l
a
yout
6.
DE
S
I
GN
AN
D
S
I
M
UL
AT
I
ON
OF
T
HE
NOVE
L
HAI
RP
I
N
-
DGS
M
B
P
F
6.
1.
E
xt
e
r
n
al
q
u
ali
t
y
f
ac
t
or
an
d
c
ou
p
li
n
g
p
ar
am
e
t
e
r
s
F
igur
e
12
il
lus
tr
a
tes
the
va
r
ious
c
oupli
ng
c
onf
igur
a
ti
ons
that
a
r
e
a
ppr
opr
iate
f
or
the
de
s
ign
of
M
B
P
F
c
r
os
s
-
c
oupli
ng
r
e
s
ona
tor
.
T
he
s
ha
pe
s
a
,
b
a
nd
c
a
r
e
the
r
e
s
ult
of
va
r
ious
or
ienta
ti
ons
of
a
c
ouple
of
ha
ir
pin
-
DG
S
r
e
s
ona
tor
s
is
olate
d
by
di
s
tan
c
e
S
u
s
ing
a
s
ubs
tr
a
te
with
a
r
e
lative
diele
c
tr
ic
ε
r
=
3.
38
a
nd
a
thi
c
kne
s
s
h
=
0.
813
mm
.
T
he
c
oupli
ng
c
oe
f
f
icie
nt
s
[
4,
6
]
s
hown
in
the
F
igu
r
e
12
a
r
e
de
ter
m
inate
d
us
ing
the
E
M
HFS
S
by
c
oupli
ng
the
c
on
f
igur
a
ti
on
to
a
f
if
t
y
-
Ohm
Ω
f
e
e
d
li
ne
.
F
r
om
dis
tanc
e
f
r
e
que
nc
ies
the
c
oupli
ng
c
oe
f
f
icie
nts
c
a
n
be
c
a
lcula
ted
.
s
s
hown
in
F
igur
e
13,
the
e
xter
na
l
qua
li
ty
f
a
c
tor
[
4
]
is
bu
il
t
a
t
the
other
pa
r
t
of
a
s
ubs
tr
a
te
by
a
f
if
ty
-
Ohm
mi
c
r
os
tr
ip
li
ne
with
a
r
e
lative
diele
c
tr
ic
ε
r
=
3.
38
,
the
e
xter
na
l
qua
li
ty
f
a
c
tor
va
lue
is
de
r
iv
e
d
f
r
o
m
the
AN
S
Y
S
HFS
S
s
im
ulato
r
.
T
he
s
e
r
e
s
ona
nt
f
r
e
q
ue
nc
ies
do
not
s
igni
f
ica
ntl
y
c
ha
nge
whe
ne
ve
r
the
f
e
e
d
li
ne
is
s
li
ghtl
y
moved
by
a
dis
tanc
e
d
.
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
A
nov
e
l
c
r
os
s
-
c
oupled
mic
r
os
tr
ip
bandpas
s
fi
lt
e
r
w
it
h
hair
pin
-
DG
S
r
e
s
onator
s
…
.
(
C
he
ti
oui
M
oham
me
d)
471
F
ig
ur
e
9.
C
ompac
t
s
e
c
ond
or
de
r
c
oupled
r
e
s
ona
tor
s
M
B
P
f
il
ter
(
with
the
f
ir
s
t
f
e
e
ding
c
onf
igu
r
a
ti
on)
F
ig
ur
e
10.
C
ompac
t
s
e
c
ond
or
de
r
c
oupled
r
e
s
ona
tor
s
M
B
P
f
il
ter
(
with
the
s
e
c
ond
f
e
e
ding
c
onf
igu
r
a
ti
on)
F
ig
ur
e
11.
C
ompac
t
s
e
c
ond
or
de
r
c
oupled
r
e
s
ona
tor
s
M
B
P
f
il
ter
(
with
the
thi
r
d
f
e
e
ding
c
onf
igur
a
ti
on
)
6.
2.
S
im
u
lat
io
n
of
t
h
e
im
p
r
ove
d
h
airpi
n
-
DGS
M
B
P
F
A
mul
ti
laye
r
s
tr
uc
tur
e
is
us
e
d
to
incr
e
a
s
e
the
e
f
f
ici
e
nc
y
of
the
tr
a
dit
ional
ba
nd
-
pa
s
s
f
il
ter
.
T
he
nove
l
s
c
he
me
is
s
im
il
a
r
to
the
c
u
r
r
e
nt
f
il
ter
but
,
a
s
s
how
n
in
F
igur
e
14,
the
c
r
os
s
-
c
oupled
r
e
s
ona
tor
s
a
r
e
s
hif
ted
to
the
bott
om
laye
r
a
s
ha
ir
pin
-
DGS
.
T
his
s
ug
ge
s
ted
ge
ometr
ica
l
c
onc
e
pt
is
ba
s
e
d
on
u
s
ing
many
laye
r
e
d
laye
r
s
.
T
his
wa
s
obs
e
r
ve
d
to
incr
e
a
s
e
the
e
f
f
icie
nc
y
a
nd
to
r
e
duc
e
the
ove
r
a
ll
f
il
te
r
s
ize
.
T
he
fi
lt
e
r
is
s
im
ula
ted
with
f
0
=
1.
2
GH
z
a
nd
F
B
W
=
91.
7
%
.
I
n
thi
s
s
it
ua
ti
on
a
f
our
-
or
de
r
f
il
te
r
wa
s
gue
s
s
e
d,
the
c
oupli
ng
matr
ix
e
xtr
a
c
ted
f
or
the
c
oupli
ng
a
nd
the
e
xter
na
l
qua
li
ty
f
a
c
tor
f
r
om
the
opti
mi
z
a
ti
on
s
c
he
me
[
5
]
a
r
e
a
s
c
onti
nue
s
to
f
oll
ow:
m
=
[
0
−
0
.
1577
0
0
.
0008
−
0
.
1577
0
−
0
.
1236
−
0
.
0198
0
−
0
.
1236
0
0
.
1564
0
.
0008
−
0
.
0198
0
.
1564
0
]
(
6
)
Q
in
=
Q
ou
t
=
5.
9126
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
1693
-
6930
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
,
Vol.
18
,
No
.
1
,
F
e
br
ua
r
y
2020
:
46
5
-
47
5
472
(
a
)
(
b)
(
c
)
F
ig
ur
e
12.
C
oupli
ng
c
oe
f
f
icie
nts
f
or
the
di
f
f
e
r
e
nt
h
a
ir
pin
-
DG
S
c
lee
s
:
(
a
)
magne
ti
c
Att
r
a
c
ti
on
,
(
b)
e
lec
tr
ic
a
tt
r
a
c
ti
on
a
nd
(
c
)
mi
xe
d
a
tt
r
a
c
ti
on
T
he
s
ugge
s
ted
ha
ir
pin
-
DG
S
M
B
P
F
wa
s
de
s
igned
to
s
im
ulate
on
e
ve
n
a
s
ubs
tr
a
te
(
r
e
lative
diele
c
tr
ic
ε
r
o
f
3
.
38
a
nd
a
thi
c
kne
s
s
h
o
f
0.
813
mm
)
.
T
he
E
M
s
im
ulation
r
e
s
ult
s
of
the
c
a
s
c
a
de
d
M
B
P
F
a
nd
the
c
ompac
t
mul
ti
laye
r
ba
ndpa
s
s
pe
r
f
or
med
us
in
g
HFS
S
a
r
e
s
hown
in
F
igur
e
15
.
T
he
s
im
ulate
d
qua
li
ty
of
the
s
ugge
s
ted
f
our
or
de
r
M
B
P
F
is
pr
e
s
e
nted
in
F
igur
e
15
(b
)
.
T
he
E
M
s
im
ulate
d
r
e
s
ult
s
indi
c
a
te
a
c
e
nter
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
A
nov
e
l
c
r
os
s
-
c
oupled
mic
r
os
tr
ip
bandpas
s
fi
lt
e
r
w
it
h
hair
pin
-
DG
S
r
e
s
onator
s
…
.
(
C
he
ti
oui
M
oham
me
d)
473
f
r
e
que
nc
y
of
1
.
2
GH
z
,
a
F
B
W
o
f
91
.
7%
,
a
typi
c
a
l
ins
e
r
ti
on
los
s
o
f
1
.
05
dB
a
nd
a
typ
ica
l
r
e
tu
r
n
los
s
of
13.
8
dB
.
T
ha
t
c
a
n
be
s
e
e
n
f
r
om
F
igur
e
15
(
b)
that
the
s
im
ulate
d
r
e
s
ult
s
indi
c
a
te
be
s
t
unif
or
mi
ty
with
s
im
ulation
r
e
s
ult
s
F
igur
e
15
(
a
)
.
T
he
s
im
ulate
d
c
ompac
t
mul
ti
laye
r
M
B
P
F
with
ha
ir
pin
-
DG
S
ha
s
a
mi
ddle
f
r
e
que
nc
y
of
1
.
2
GH
z
a
nd
a
s
uppr
e
s
s
ion
gr
a
de
of
20
dB
be
twe
e
n
1.
9
a
nd
3.
5
GH
z
;
the
pa
s
s
ba
nd
ins
e
r
ti
on
los
s
is
a
r
ound
1.
05
dB
.
T
his
de
mons
tr
a
tes
that
the
s
ugge
s
ted
c
ompac
t
mul
ti
laye
r
c
oupled
ha
ir
pin
-
DG
S
M
B
P
F
ha
s
s
igni
f
ica
ntl
y
e
nha
nc
e
d
e
f
f
icie
nc
y
as
oppos
e
d
t
o
the
c
a
s
c
a
de
d
M
B
P
F
without
the
ha
ir
p
in
-
DG
S
.
(
a
)
(
b)
F
ig
ur
e
13.
E
x
ter
na
l
qua
li
ty
f
a
c
tor
c
ha
nge
s
:
(
a
)
1
s
t
f
e
e
ding
pos
it
ion,
(
b
)
2
nd
f
e
e
ding
pos
it
ion
F
ig
ur
e
14.
3D
vis
ua
li
z
a
ti
on
o
f
the
c
a
s
c
a
de
d
M
B
P
f
il
ter
tr
a
ns
it
ion
(
lef
t
)
to
c
ompac
t
mul
ti
laye
r
M
B
P
f
i
lt
e
r
(
r
ight
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
1693
-
6930
T
E
L
KO
M
NI
KA
T
e
lec
omm
un
C
omput
E
l
C
ontr
o
l
,
Vol.
18
,
No
.
1
,
F
e
br
ua
r
y
2020
:
46
5
-
47
5
474
(
a
)
(
b)
F
ig
ur
e
15.
S
im
ulation
r
e
s
ult
s
:
(
a
)
of
the
c
a
s
c
a
de
d
M
B
P
f
il
ter
without
ha
ir
pin
-
DG
S
,
(
b)
to
c
ompac
t
mul
ti
laye
r
M
B
P
f
il
ter
with
ha
ir
pin
-
DGS
7.
CONC
L
USI
ON
I
n
thi
s
wor
k
a
ne
w
de
s
ign
of
a
c
r
os
s
-
c
oupled
mi
c
r
os
tr
ip
ba
ndpa
s
s
f
il
ter
ba
s
e
d
on
ha
ir
pin
d
e
f
e
c
ted
gr
ound
s
tr
uc
tur
e
r
e
s
ona
tor
s
us
ing
a
c
c
ur
a
te
c
oupl
ing
matr
ix
tec
hnique
ha
s
be
e
n
pr
opos
e
d
f
or
mi
c
r
owa
ve
c
omm
unica
ti
on
s
ys
tems
.
T
he
pa
pe
r
de
s
c
r
ibes
the
f
il
ter
e
quivale
nt
c
ir
c
uit
model
a
nd
inves
ti
ga
tes
the
inf
luenc
e
of
it
s
ge
ometr
ica
l
pa
r
a
mete
r
s
on
it
s
r
e
s
ona
nc
e
a
nd
c
uto
f
f
f
r
e
que
nc
ies
.
T
he
pa
pe
r
de
mons
tr
a
tes
that
the
f
e
e
ding
c
onf
igur
a
ti
on
a
f
f
e
c
ts
s
igni
f
ica
ntl
y
t
he
f
il
ter
r
e
s
pons
e
a
f
ter
ha
ving
inves
ti
ga
ted
it
s
dif
f
e
r
e
nt
e
xter
na
l
c
oupli
ng
mec
ha
nis
ms
.
A
ne
w
f
our
or
de
r
M
B
P
f
il
ter
us
ing
c
oupli
ng
matr
ix
e
xtr
a
c
ti
on
with
a
mi
ddle
f
r
e
que
nc
y
of
1
.
2
GH
z
a
nd
a
F
B
W
of
91
.
7%
ha
s
be
e
n
a
c
hieve
d
by
movi
ng
the
c
r
os
s
c
oupled
r
e
s
ona
tor
s
to
the
bott
om
il
ter
laye
r
f
o
r
mi
ng
ha
ir
pin
-
DG
S
r
e
s
ona
tor
s
to
im
pr
ove
the
e
f
f
icie
nc
y
of
the
M
B
P
f
il
ter
a
nd
R
e
moves
the
ha
r
moni
c
s
.
RE
F
E
RE
NC
E
S
[1
]
A
.
R.
A
l
i
,
et
a
l
.
,
“
D
i
rect
Cr
o
s
s
-
co
u
p
l
ed
Re
s
o
n
at
o
r
F
i
l
t
ers
U
s
i
n
g
D
efect
e
d
G
r
o
u
n
d
S
t
r
u
ct
u
re
(D
G
S)
Re
s
o
n
at
o
rs
,
”
IE
E
E
M
i
c
r
o
w
a
ve
a
n
d
Co
m
m
u
n
i
ca
t
i
o
n
E
n
g
i
n
eer
i
n
g
,
m
i
c
r
o
wa
v
e
co
n
f
er
e
n
ce
,
2
0
0
5
.
[2
]
M.
A
w
i
d
a,
et
a
l
.
,
“
Mu
l
t
i
-
b
an
d
p
a
s
s
F
i
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