Indonesi
an
Journa
l
of El
ect
ri
cal Engineer
ing
an
d
Comp
ut
er
Scie
nce
Vo
l.
12
,
No.
3
,
Decem
ber
201
8
, p
p.
1366
~
1372
IS
S
N: 25
02
-
4752, DO
I: 10
.11
591/ijeecs
.v1
2
.i
3
.pp
1
366
-
1372
1366
Journ
al h
om
e
page
:
http:
//
ia
es
core.c
om/j
ourn
als/i
ndex.
ph
p/ij
eecs
Des
i
gn o
f Quasi
-
Ellip
tic Band
pas
s Filter
f
or Sub
strate
Integr
ated
W
aveguid
e (SIW)
Usi
ng Cross
Co
up
lin
g Techni
qu
e
Muhaj
ir
Must
apa,
Z
ah
ri
lA
d
ha
Z
akaria
, N
oo
r
A
z
w
an
Sh
airi
Cent
re
for
Te
l
ecom
m
unic
at
ion
R
ese
arc
h
and
Inno
vat
ion
(CeT
RI)
,
Facul
t
y
of Electr
onic
and
Com
pute
r Engineering
,
Univer
siti
Te
kn
i
kal
,
Mal
a
y
s
ia
M
el
ak
a
(UT
eM),
Hang
Tua
h
Ja
y
a
,
76100,
Duria
n
Tungga
l
,
Me
la
k
a,
Ma
lay
si
a
Art
ic
le
In
f
o
ABSTR
A
CT
Art
ic
le
history:
Re
cei
ved
A
ug
2
8
, 201
8
Re
vised
Oct
15
, 2
018
Accepte
d
Oct
2
8
, 201
8
Thi
s
pape
r
prop
oses
a
quasi
-
elli
pti
c
b
and
pass
fil
te
r
in
subs
tra
t
e
int
egr
at
e
d
wave
guide
(SIW
)
b
y
using
cro
ss
coupl
ing
t
ec
hniq
ue
to
produ
ce
tr
ansm
ission
ze
ros
(
TZ
s)
at
bo
th
sid
es.
Fin
al
l
y
,
a
four
th
p
o
le
SI
W
quasi
-
elliptic
fil
ter
at
5.
75
GH
z
is
designed
in
single
lay
er
subs
tra
te
.
Sim
u
la
ti
on
result
s
sh
ow
tha
t
th
e
fil
ter
has
a
ce
nt
er
fre
quen
c
y
of
5.
7
5
GH
z
with
the
b
andwidt
h
of
100
MH
z.
Th
e
m
ini
m
um
insert
ion
loss
in
the
pa
ss
band
is
0.
3
dB
,
and
th
e
r
et
urn
l
oss
is
bet
t
er
tha
n
20
dB
.
Due
to
th
e TZ
s,
th
e
S
IW
fil
t
er
h
as
rap
id
tr
ansit
ion
pe
rf
orm
anc
e at
both
lower
and
upper
sideb
ands,
good
sel
ectivit
y
is
a
chieve
d
,
wh
il
e
the
SIW
fil
ter pre
s
ent
s a
ver
y
compa
ct
implementation an
d
good
spurious
rej
e
ct
ion
.
Ke
yw
or
d
s
:
Ba
nd p
as
s f
il
te
r
C
ro
ss
cou
pling
N
ne
gative c
ou
pling
S
ing
le
lay
ere
d
S
ubstrat
e inte
grat
ed wa
veguid
e
(S
I
W)
Copyright
©
201
8
Instit
ut
e
o
f Ad
vanc
ed
Engi
n
ee
r
ing
and
S
cienc
e
.
Al
l
rights re
serv
ed
.
Corres
pond
in
g
Aut
h
or
:
Zahr
il
A
dha Za
kar
ia
,
Ce
ntre fo
r
Tel
e
com
m
un
ic
at
ion
Resea
rch an
d I
nnovat
ion (C
eTR
I)
,
Faculty
of Elec
tro
nic and C
om
pu
te
r
En
gin
e
erin
g,
U
niv
er
sit
i Tekn
i
kal
,
Ma
la
ysi
a Me
lak
a
(U
TeM
),
H
ang T
uah Jay
a,
7610
0,
D
ur
ia
n Tu
nggal,
Mel
aka,
Ma
la
ysi
a
.
Em
a
il
:
zahr
il
adh
a@
utem
.ed
u.m
y
1.
INTROD
U
CTION
Substrate
i
nteg
rated
wa
veguid
e
(SI
W)
ha
ve
obta
ined
a
n
inc
r
easi
ng
num
ber
of
ap
plica
ti
on
s
in
wi
reless
com
m
un
ic
at
ion
syst
em
becau
se
integra
bili
ty
with
pla
nar
ci
r
cuit,
high
qu
al
i
ty
factor
an
d l
ow
loss
[1
]
-
[12]
. T
he
sing
le
lay
ered
SIW
desi
gn is
easy
to
f
a
bri
cat
e th
us
bein
g
m
or
e
ec
onom
ic
co
m
par
ed
to
othe
r
m
ulti
la
ye
red
S
I
W
desig
n.
D
ue
to
this
ad
van
ta
ge
,
it
is
fr
e
qu
e
ntly
us
ed
i
n
desig
ning
filt
ers,
an
te
nn
as
,
an
d
othe
r
de
vices
[13].
O
n
oth
e
r
ha
nd,
inc
reasin
g
num
ber
of
ap
plica
ti
ons
in
wireless
c
om
m
un
ic
at
ion
with
dem
an
d
f
or
narr
ow
e
r
ch
ann
el
s
,
qu
a
si
-
el
li
ptic
f
il
te
rs
with
high
sel
ect
ivit
y
and
com
pactne
ss
are
re
qu
ire
d.
In
or
der
t
o
create
TZs
at
finite
fr
e
qu
e
ncies,
both
neg
at
ive
c
ouplin
g
an
d
pos
it
ive
co
up
li
ng
are
usual
ly
us
e
d
i
n
desig
n
to
pro
vid
e
m
ulti
ple
path
betwee
n
in
put
and outp
ut.
In
this
c
on
te
xt,
de
sig
ning
qua
si
-
el
li
ptic
filt
ers
in
S
I
W
te
c
hn
ology has
b
een
a
pp
li
ed
in
d
if
f
eren
t
w
orks
li
ke
usi
ng
L
TCC
proce
ss
[1
]
or
sta
nda
rd
PC
B
proce
ss
[2
]
-
[
5].
In
[
1]
a
nd
[
2],
t
he
a
uthor
s
pro
po
se
d
a
ne
ga
ti
ve
couplin
g
str
uct
ur
e
bet
ween
SIW
ca
vity
reson
at
or
s
base
d
on
a
balance
d
m
ic
ro
-
strip
li
ne
with
a
pair
of
m
et
a
ll
iz
ed
via
hole
s.
H
oweve
r,
to
p
a
nd
bott
om
la
ye
r
has
bee
n
us
e
d
to
et
chi
ng
slot
an
d
li
m
i
ti
ng
t
he
inte
gr
a
bili
ty
of
the
dev
ic
e.
I
n
[
3],
a
co
ntr
ollable
m
ixed
neg
at
iv
e
an
d
posit
ive
coupli
ng
has
be
en
pro
du
ce
d
by
placi
ng
s
hort
-
en
de
d
strip
li
ne
t
hat
i
s
join
with
a
c
onve
ntion
al
po
st
wall
iris.
For
[
5],
t
he
c
oupl
ing
betwee
n
re
so
na
tor
in
t
he
sam
e
la
ye
r
are
reali
z
ed
by
m
agn
et
i
c
iris
wind
ow,
and
a
no
t
her
c
ouplin
g
bet
wee
n
res
on
at
or
at
t
he
dif
fer
e
nt
la
ye
r
are
reali
zed
by
co
upli
ng
ape
rtu
re.
Wh
il
e
in
[
6],
th
e
desig
n
us
in
g
slot
co
up
li
ng
at
bott
om
layer
f
or
m
ai
nline
co
up
li
ng
and
the
c
r
os
s
c
ouplin
g
us
in
g
m
ic
ro
strip
li
ne
sect
ion
with
op
en
-
e
nded
stu
b
at
top
la
ye
r
. T
he
se
str
uctur
e
ne
eds a
m
ul
ti
-
la
ye
r
PCB
an
d
LTCC
f
abr
ic
at
io
n proc
ess which
incre
ases the c
om
plexi
ty
an
d
c
os
t.
On the ot
her
ha
nd,
a
Evaluation Warning : The document was created with Spire.PDF for Python.
Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci
IS
S
N:
25
02
-
4752
Desig
n of
Qua
si
-
Ell
ipti
c Ban
dpas
s
Fil
te
r fo
r Subst
ra
te
In
t
egr
ated
…
(
Z
ahril
Adha
Z
ak
ar
i
a
)
1367
gro
unde
d
c
opla
nar
li
ne
slot
on
ly
on
the
to
p
m
et
al
la
ye
r
was
pro
pose
d
in
[4
]
to
obta
in
a
ne
gative
c
oupli
ng
betwee
n
sta
nd
a
rd SIW ci
rcu
la
r
ca
viti
es (
exci
ti
ng
the
TM
010
m
od
e
s).
In
this
pa
per
,
we
pro
pose
a
sing
le
la
ye
red
SIW
4
-
pole
qu
asi
-
el
li
ptic
filter
us
i
ng
ne
gative
co
upli
ng
cro
ss
-
c
ouplin
g
betwee
n
resonato
rs
1
an
d
4
is
de
sig
ned.
A
neg
at
ive
couplin
g
us
in
g
ope
n
-
e
nded
CP
W
transm
issi
on
li
ne parall
el
cou
pling wit
h m
etall
ic
v
ia
at
the
center
SIW ca
vity
.
2.
ANALY
SIS
NE
GATIV
E
COUPLI
NG ST
RUCTU
RE
Figure
1
s
how
the
pro
posed
si
ng
le
la
ye
re
d
SIW
ne
gative
c
ouplin
g
str
uctu
r
e
is
e
m
bed
de
d
by
et
chin
g
rectan
gu
la
r
sha
pe
slot
on
to
p
s
urface
of
t
wo
ad
j
ace
nt
r
ect
angular
S
I
W
ca
viti
es
an
d
intr
oduci
ng
l
oad
in
g
capaci
ta
nces
a
s
loa
ding
at
ce
nter
of
S
I
W
ca
vity
.
T
he
tw
o
c
aviti
es
are
for
m
ed
by
ce
ntral
ly
sepa
rati
ng
a
bigger
SIW
cavit
y
by
a
row
of
via
ho
le
s
.
The
rec
ta
ngular
slot
is
sy
m
m
e
tric
al
ly
cut
betwee
n
t
wo
ca
viti
es
an
d
the
loading ca
pacit
ances sym
m
et
r
ic
al
ly
locat
ed
be
side r
ect
a
ngul
ar s
lot.
Figure
1. To
po
log
y
of the ele
ct
ric co
up
li
ng
f
or SIW
res
on
at
or
s
The
pa
ram
et
er
s
of
t
he
str
uctu
re
ar
e
s
how
n
i
n
Fig
ur
e
1.
a
represent
the
widt
h
of
the
CP
W
t
ran
sm
issi
on
li
ne
al
ong
with
diam
et
er
pad
of
via
ho
le
,
w
hi
le
d
sta
nd
f
or
the
diam
et
er
of
the
loa
ding
ca
pacit
ance.
b
de
no
te
gap
bet
ween
t
he
wind
ow
s
loa
ding
ca
pacit
an
ce
with
CP
W
t
ran
sm
issi
on
li
ne
.
e
is
ga
p
bet
ween
to
p
la
ye
r
patch
with loa
ding c
apacit
ance a
nd CP
W
tra
ns
m
is
sion
li
ne
.
w
is win
dow
siz
e
be
tween tw
o
S
I
W
res
o
nato
rs wh
il
e
dv
is t
he
diam
et
er
o
f via h
ole u
se
d
to elec
tric
wal
l of
the SI
W. The
dv
diam
eter
is d
eci
de
d
a
s
1
.
5
m
m
w
hile
s
, th
e
pitch
betwe
en
center
to
cente
r
betwee
n
via
hole
a
nd
is
deci
ded
as
2
.
25
m
m
. Th
e
X
a
nd
Y
de
note
the
horizo
nt
al
and v
e
rtic
al
d
i
m
ens
ion o
f
the
two ide
ntica
l adj
ace
nt
rectan
gula
r SI
W
ca
viti
es.
The
E
-
fiel
d
of
the
first
res
on
a
nt
m
od
e
i
n
t
he
pro
po
se
d
str
uc
ture
is
ou
t
phas
e
w
hile
sec
ond
m
od
e
is
i
n
ph
a
se
bet
ween
the
tw
o
S
I
W
cavit
ie
s,
as
s
how
n
in
Fig
ur
e
2.
T
he
E
-
fiel
d
of
th
e
first
r
eso
nan
t
m
od
e
in
the
conve
ntion
al
ir
is
co
upli
ng
st
r
uctu
re
is
in
ph
ase
wh
il
e
seco
nd
m
od
e
is
out
phase
for
the
t
wo
a
djacent
ca
viti
es,
as sho
wn in Fi
gure
3.
(a)
(b
)
Figure
2. (a
)
E
-
fiel
d o
f
the
f
ir
st res
on
a
nt m
od
e in
the
pro
po
sed
st
ru
ct
ur
e.
(b)
E
-
fiel
d of t
he
seco
nd r
e
son
ant
m
od
e in the
pr
opos
e
d
st
ru
ct
ure
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci,
Vo
l.
12
, N
o.
3
,
Dece
m
ber
2
01
8
:
1
366
–
1372
1368
The p
hysic
al
co
upli
ng c
oeffic
ie
nt can
be
calc
ulate
d
as
g
i
ve
n by [
12]
.
=
2
−
2
2
+
2
(1)
Wh
e
re
re
pr
ese
nt
th
e
res
on
a
nt
f
reque
ncy
w
he
n
E
-
fiel
d
bet
ween
tw
o
a
dj
a
cent
ca
viti
es
is
in
ph
ase
,
w
hile
the
sta
nd
f
or
the
r
eso
nan
t
f
reque
ncy
w
hen
E
-
fie
ld
betwee
n t
w
o
adj
ace
nt
cavit
ie
s
is
ou
t
phase.
The c
on
diti
on
of
>
0
sta
nd fo
r po
sit
ive cou
plin
g
a
nd
<
0
represe
nts
neg
at
ive
c
oupling.
All
the
pa
ram
e
te
r
in
t
he
pro
po
sed
el
ect
ric
c
ouplin
g
str
ucture,
as
sho
wn
in
Figure
3
,
ha
ve
influ
e
nce
on
the stre
ng
t
h of
neg
at
ive
c
oupling.
(a)
(
b)
Figure
3. (a
)
E
-
fiel
d o
f
the
se
cond res
on
a
nt
m
od
e in the
conv
e
ntio
nal iris
couplin
g
str
uct
ur
e
,
(
b) E
-
fiel
d o
f
the
seco
nd r
es
onan
t
m
od
e in
a c
onve
ntio
nal iris
couplin
g
str
uct
ur
e
Fo
r
exam
ple,
the
pr
opos
e
d
ne
gative
c
oupling
s
truct
ur
e
fa
br
ic
at
ed
on
the
FR
-
4
substrat
e
with
a
thic
kness
of
ℎ
=
1
.
6
m
m
,
loss
ta
ng
ent
of
0.0
25,
a
nd
relat
ive
diel
ect
ric
co
ns
ta
nt
of
=
4
.
3
is
desig
ne
d
and
in
vestigat
e
d
by
Eigen
m
od
e
si
m
ula
ti
on
.
T
he
si
m
ulati
on
is
com
plete
d
by
usi
ng
CST En
vir
on
m
ent
si
m
ulator.
T
he
init
ia
l
values
of
pa
ram
et
er
in
the
sim
ulati
on
are
as
fo
ll
ow:
=
1
.
6
,
=
1
,
=
0
.
5
,
=
0
.
5
,
=
6
,
=
17
.
178
,
an
d
=
17
.
178
(all
in
m
il
l
i
m
e
te
rs)
Figure
4
s
how
the
ne
gative
c
ouplin
g
c
oeffici
ent
of
tw
o
re
ct
angular
S
I
W
cavit
ie
s
with
t
he
propos
e
d
neg
at
ive
c
oupl
ing
str
uctu
re
w
.
It
has
be
en
s
how
n
that
the
ne
gative
co
upli
ng
c
oeffici
ent
i
ncr
ease
s
sli
gh
t
ly
as
w
increases
fro
m
g
ra
dient
6
to
7
.
4
m
m
.
Figure
5
il
lustrate
s
the
ne
ga
ti
ve
couplin
g
coeffic
ie
nt
of
two
rectan
gu
l
ar
SIW
ca
viti
es
with
the
pro
po
se
d
neg
at
ive
co
up
li
ng
st
ru
ct
ur
e
a
gainst
a
an
d
b
. It
sho
ws t
hat
the
ne
ga
ti
ve c
ouplin
g
coeffic
ie
nt
incr
eases
sli
gh
tl
y
as
a
in
creases
f
ro
m
1
.
6
t
o
2
.
4
m
m
.
it
is
al
so
s
ee
n
t
hat
the
ne
gative
co
upli
ng
c
oe
ff
ic
ie
nt
in
creases
ra
pid
ly
as the
gr
a
dient
beco
m
es sm
all
if
b
inc
rease
from
1
to
1
.
8
m
m
.
Figure
4. Ne
ga
ti
ve
co
up
li
ng c
oeffici
ent
of
t
wo r
ect
a
ngular
SIW ca
viti
es
with
pro
po
se
d el
ect
ric coupling
structu
re a
gain
st
w
-0.12
0
-0.10
0
-0.08
0
-0.06
0
-0.04
0
-0.02
0
0
.000
6
.0
6
.2
6
.4
6
.6
6
.8
7
.0
7
.2
7
.4
k
Dimens
ion
(mm)
w
Evaluation Warning : The document was created with Spire.PDF for Python.
Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci
IS
S
N:
25
02
-
4752
Desig
n of
Qua
si
-
Ell
ipti
c Ban
dpas
s
Fil
te
r fo
r Subst
ra
te
In
t
egr
ated
…
(
Z
ahril
Adha
Z
ak
ar
i
a
)
1369
Figure
5. Ne
ga
ti
ve
co
up
li
ng c
oeffici
ent
of
t
wo r
ect
a
ngular
SIW ca
viti
es
with
pro
po
se
d el
ect
ric coupling
structu
re a
gain
st
a
a
nd
b
Figure
6
il
lustrate
s
the
ne
ga
ti
ve
couplin
g
coeffic
ie
nt
of
two
rectan
gu
l
ar
SIW
ca
viti
es
with
the
pro
po
se
d
neg
at
ive
co
up
li
ng
st
ru
ct
ur
e
a
gainst
dv
an
d
e
.
It
s
hows
that
the
ne
ga
ti
ve
co
up
li
ng
coeffic
ie
nt
flat
as
dv
increases
f
r
om
0
.
5
to
1
.
3
m
m
.
it
is
al
so
see
n
that
the
ne
gative
co
up
li
ng
coe
ff
ic
i
ent
decr
eas
es
r
apidly
as
if
e
increase
f
r
om
0
.
5
to
1
.
3
m
m
.
Ther
efore,
it
is
concl
ud
e
d
th
at
the
par
am
et
er
b
and
e
si
gn
ific
a
nt
ly
aff
ect
the
neg
at
ive
c
oupling coe
ff
ic
ie
nt.
Figure
6. Ne
ga
ti
ve
co
up
li
ng c
oeffici
ent
of
t
wo r
ect
a
ngular
SIW ca
viti
es
with
pro
po
se
d el
ect
ric coupling
structu
re a
gain
st
dv
a
nd
e
3.
FOU
R
P
OLE
CROSS
COU
PLE
D
SI
W FI
LT
ER
To
a
pp
ly
the
propose
d
neg
at
iv
e
couplin
g
str
uc
ture
in
filt
er,
a
four
t
h
po
le
quasi
-
el
li
ptic
band
pa
ss
filt
e
r
work
i
ng
at
5.7
5
GH
z
band
wi
th
3
dB
band
w
idth
of
14
0
M
Hz
a
nd
a
1
dB
band
width
of
120
MHz
is
desi
gn
e
d.
The
t
opology
of the
f
il
te
r
is s
how
n
i
n
Fi
gure
7.
Figure
7
.
To
po
log
y
of the
fou
rth orde
r qu
asi
-
el
li
ptic band
pa
ss f
il
te
r.
N
umbers
1
-
4
re
pres
ent fo
ur
res
on
a
tors,
wh
il
e
S
a
nd
L
denot
e s
ource
and loa
d,
res
pe
ct
ively
-0.12
0
-0.10
0
-0.08
0
-0.06
0
-0.04
0
-0.02
0
0.000
1.0
1.2
1.4
1.6
1.8
2.0
2.2
2.4
k
Dimens
ion
(mm)
a
b
-0.
120
-0.
100
-0.
080
-0.
060
-0.
040
-0.
020
0.0
00
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
k
Di
me
nsio
n (
mm)
dv
e
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci,
Vo
l.
12
, N
o.
3
,
Dece
m
ber
2
01
8
:
1
366
–
1372
1370
The
1
dB
pa
ss
band
is
desig
ne
d
as
5.7
–
5.8
dB
an
d
tw
o
tr
ansm
issi
on
zer
os
a
re
desi
gn
e
d
at
5.6
a
nd
5.9
G
Hz,
re
spe
ct
ively
.
T
he
m
axi
m
u
m
retu
rn
los
s
is
ass
um
ed
to
be
20
db.
The
i
niti
al
val
ues
of
co
upli
ng
coeffic
ie
nt a
nd the e
xter
nal f
a
ct
or
for
t
he
filt
er ar
e
as
fo
ll
ows:
{
12
=
34
=
0
.
018
23
=
0
.
0138
14
=
−
0
.
0017
=
40
.
986
(2)
Wh
e
re
t
he
negat
ive
sig
n
re
pr
esents
the
ne
ga
ti
ve
co
up
li
ng
an
d
the
posit
ive
sig
n
t
he
posit
ive
co
up
li
ng
.
Th
e
po
sit
ive
c
oupling
is
im
ple
m
ented
by
usi
ng
a
m
agn
et
ic
iris
w
indow
a
nd
it
s
c
ouplin
g
c
oe
ff
ic
ie
nt
is
al
s
o
cal
c
ulate
d
by u
si
ng (1
).
The
c
onfi
gurat
ion
of
t
he
four
t
h
po
le
quasi
-
el
l
ipti
c
ba
nd
pa
ss
filt
er
is
base
d
on
the
FR
-
4
substrat
e
with
a
thick
ness
of
ℎ
=
1
.
6
m
m
and
a
relat
ive
diele
ct
ric
c
on
sta
nt
of
=
4
.
3
, a
s
sh
ow
n i
n Fi
gur
e
8.
T
he
dim
ension
of the
optim
iz
e
d fil
te
r
are a
s foll
ows:
2
m
m
2
.4
m
m
1
.5
m
m
0
.5
m
m
14
5
m
m
1
1
7
.7
m
m
2
1
7
.7
m
m
1
1
7
.78
m
m
2
1
9
.51
m
m
01
9
.1
m
m
45
9
.1
m
m
12
6
.17
8
1
m
m
34
6
.17
8
1
m
m
23
5
.67
2
8
m
m
9
m
m
3
.13
7
m
m
8
m
m
1
.5
m
m
2
.25
m
m
Figure
8. Co
nf
i
gurati
on
of
t
he fo
ur
t
h po
le
qua
si
-
el
li
ptic band
p
ass
f
il
te
r
4.
SIMULATI
O
N RESULTS
The
f
ourth
pol
e
quasi
-
el
li
ptic
ba
nd
pass
filt
er
was
desig
ne
d.
T
he
sim
ulati
on
S
-
pa
ram
et
er
of
the
filt
er
are
il
lustrate
d
i
n
Fig
ure
9.
T
he
filt
er
was
si
m
ula
te
d
w
hen
it
was
enclo
sed
in
a
m
et
a
l
box.
The
sim
ulated
res
ult
sh
ow
th
at
the
3
dB
pass
ba
nd
ra
nge
f
ro
m
5.
6854
to
5.8
034
G
Hz,
or
a
ba
ndwidt
h
of
2.0
522%
.
The
sim
ula
te
d
m
ini
m
u
m
insertio
n
l
os
s
i
n
the
pass
ba
nd
is
0.3
dB.
The
sim
u
la
te
d
tran
sm
iss
ion
ze
r
o
in
the
lowe
r
e
dge
is
l
oc
at
ed
at
5.5
887
GH
z
an
d
the
tra
nsm
issi
on
ze
ro
i
n
t
he
up
per
e
dge
is
lo
cat
ed
at
5.8
924
G
Hz.
The
com
par
iso
ns
wit
h
exiti
ng
quasi
-
e
ll
ipti
c b
an
d pas
s f
il
te
rs
em
ploy
ing
S
I
W
neg
a
ti
ve
co
up
li
ng s
tructu
res
a
re sh
own
i
n
Ta
ble
1
.
Evaluation Warning : The document was created with Spire.PDF for Python.
Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci
IS
S
N:
25
02
-
4752
Desig
n of
Qua
si
-
Ell
ipti
c Ban
dpas
s
Fil
te
r fo
r Subst
ra
te
In
t
egr
ated
…
(
Z
ahril
Adha
Z
ak
ar
i
a
)
1371
Figure
9. Sim
ulate
d
S
-
pa
ram
e
te
r
of the
fo
ur
t
h po
le
quasi
-
el
li
ptic fi
lt
er
Table
1.
C
om
par
iso
n of Cr
os
s
Co
up
le
d
Fil
te
r
s in
S
I
W
Tec
hnol
og
y.
(
N
ote: B
=B
el
ow
, A=
Abo
ve)
.
0
(
)
(
2
)
[
2
]
2
0
.5
4%
1
.42
×
1
.36
1
B,
1
A
[
3
]
27
7
.4%
1
.45
×
1
.14
1
B,
2
A
[
5
]
60
3
.2%
3
.15
×
2
.27
1
B,
1
A
[
6
]
3
.7
1
3
.5%
-
1
B,
1
A
[
7
]
2
.5
4%
1
.6
×
1
.6
1
B,
1
A
[
8
]
5
.1
4
.2%
1
.55
×
0
.98
1
B,
1
A
[
9
]
20
3%
1
.88
×
1
.42
2
B,
2
A
This
work
5
.75
2
.05
%
1
.45
×
1
.33
1
B,
1
A
5.
CONCL
US
I
O
N
In
t
his
pa
per,
the
str
uctu
re
ha
s
bee
n
im
ple
mented
i
n
the
si
ngle
la
ye
red
S
I
W
an
d
s
how
n
t
he
ad
va
ntage
s
of
lo
w
c
os
t
a
nd
easy
fa
br
ic
at
io
n.
A
pa
ram
et
ri
c
stu
dy
has
bee
n
ca
rr
ie
d
ou
t.
T
his
s
olu
ti
on
prov
i
des
t
he
S
I
W
filt
er
with
a
ne
gativ
e
co
upli
ng
t
hat
can
be
fi
ne
t
unin
g
t
he
dim
ension
s
of
a
n
op
en
e
nde
d
CP
W
.
Fi
nally
,
it
has
bee
n
sh
ow
n
that
tw
o
tra
ns
m
issi
on
zero
s
we
re
ge
ner
at
e
d
at
both
side
of
pa
ss
-
ba
nd,
w
hile
the
SIW
filt
er
pres
ents
a
ver
y c
om
pact im
ple
m
entat
ion
and
good s
pur
iou
s
r
e
j
ect
io
n.
ACKN
OWLE
DGME
NT
This
w
or
k
is
su
pp
or
te
d
by
Un
i
ver
sit
i
Te
knikal
Ma
la
ysi
a
Me
la
ka
(UTeM
)
a
nd
the
Ma
la
ysi
an
Gove
rn
m
ent (M
OH
E
) unde
r t
he
resea
rc
h gra
nt FR
GS
/1/
2016
/T
K
04
/F
KE
KK
-
Ce
TRI/F
0031
1.
REFERE
NCE
S
[1]
G.
H.
Lee,
C.
S.
Yoo,
J.
G.
Yoo
k
and
J
.
C.
Kim
,
"S
IW
(subs
tra
te
integra
t
ed
wav
e
g
uide
)
qu
asi
-
elli
pti
c
filter
base
d
on
LT
CC
for
60
-
GH
z
appl
i
ca
t
ion,
"
2009
European
Mic
rowave
In
te
g
rated
C
ircui
ts
C
onfe
renc
e
(
EuMI
C)
,
Rom
e,
2009,
p
p
.
204
-
207.
[2]
X.
P.
Chen
and
K.
W
u,
"S
ubstra
te
Inte
gr
ated
W
a
vegui
de
Cross
-
Couple
d
Filt
er
W
it
h
Neg
at
iv
e
Cou
pli
ng
Struct
ur
e,
"
i
n
IEE
E
Tr
ansacti
o
ns on
Mic
rowav
e
Theory
an
d
Te
chni
ques
,
vol
.
5
6,
no
.
1
,
pp
.
142
-
149,
Jan
.
2008
.
[3]
K.
Gong,
W
.
H
ong,
Y.
Zh
ang,
P.
Chen
and
C.
J
.
You,
"S
ubstrat
e
In
te
gr
at
ed
W
ave
guid
e
Quasi
-
El
li
p
ti
c
Fil
te
rs
W
it
h
Control
la
b
le
E
lectr
i
c
and
Magn
etic
Mix
ed
Coup
ling,"
in
IE
EE
Tr
ansacti
ons
on
Micr
owave
Theory
a
nd
Techni
qu
es
,
v
ol.
60,
no
.
10
,
pp
.
3
071
-
3078,
Oc
t. 2
012.
[4]
B.
Pot
el
on
,
J.
F.
Fav
ennec,
C
.
Q
uendo,
E.
R
iu
s,
C
.
Pe
rson
an
d
J.
C.
Bohorqu
ez
,
"D
esign
of
a
Subs
tra
t
e
Inte
g
rat
ed
W
ave
guide
(SIW
)
Filt
er
Us
ing
a
Novel
Topo
log
y
of
Coup
li
ng,
"
i
n
IEEE
M
ic
rowa
ve
and
Wir
el
ess
Components
Letters
,
vol.
18
,
no
.
9
,
pp
.
596
-
598
,
Sept
.
2008.
[5]
G.
Zh
ang,
J.
W
a
ng,
J.
Pan
and
H.
Gu,
"Com
pac
t
60
GH
z
L
TCC
b
al
un
b
andpa
ss
fi
l
te
r
wi
th
two
tr
an
sm
ission
ze
roe
s,
"
in
El
e
ct
roni
cs
L
et
t
e
rs,
vol
.
51
,
no
.
8
,
pp.
637
-
638,
16
4
2015
.
doi:
10
.
1049/el.
2
014.
4440
[6]
R.
Chen
,
S.
W
ong,
Z
.
Guo,
S.
F
eng
and
Q.
Chu,
"Cros
s
-
coupl
ing
on
m
ic
rostrip
l
i
ne
for
subs
tra
t
e
i
nte
gra
te
d
wav
eg
uide
(SIW
)
quasi
-
el
l
i
pti
c
bandpa
ss
f
ilter,
"
2015
As
ia
-
Paci
fi
c
Microw
a
ve
Confer
ence
(
AP
MC),
Nanji
n
g,
2015
,
pp
.
1
-
3.
[7]
D.
Desla
nd
es
an
d
K.Wu,
“
Inte
gr
at
ed
m
ic
rostrip
and
re
ctangula
r
wave
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