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q
u
ar
ter
w
a
v
ele
n
g
t
h
(
λ
/4
)
at
c
en
ter
f
r
eq
u
e
n
c
y
o
f
6
.
8
5
GHz
.
Ho
w
e
v
er
,
t
h
eir
le
n
g
th
s
ar
e
v
ar
ied
to
o
b
tai
n
t
h
e
o
p
tim
u
m
r
e
s
u
l
t.
T
h
e
s
h
u
n
t
s
t
u
b
s
a
n
d
s
q
u
ar
e
p
ad
s
p
r
o
v
id
e
g
o
o
d
lo
w
er
p
ass
b
an
d
.
Var
y
in
g
th
e
s
ize
o
f
t
h
e
t
w
o
p
ad
s
w
il
l
v
ar
y
t
h
e
lo
w
er
p
ass
b
an
d
o
f
th
e
f
r
eq
u
en
c
y
r
esp
o
n
s
e.
I
n
o
r
d
er
to
d
esig
n
t
h
e
b
a
n
d
p
ass
f
ilter
a
n
u
m
b
er
o
f
m
a
th
e
m
atica
l
eq
u
atio
n
s
ar
e
u
s
ed
to
c
alcu
late
t
h
e
f
ilter
p
ar
a
m
eter
s
,
t
h
e
g
e
n
er
al
f
o
r
m
u
las [
8
]
ar
e
as f
o
llo
w
s
.
C
o
n
s
id
er
in
g
(
w
id
t
h
to
s
u
b
s
tr
a
te
r
atio
)
an
d
t
h
e
s
u
b
s
tr
ate
d
iel
ec
tr
ic
co
n
s
ta
n
t
,
th
e
ef
f
ec
ti
v
e
d
ielec
tr
ic
co
n
s
tan
t c
an
b
e
ca
lc
u
lated
b
y
u
s
i
n
g
t
h
e
f
o
llo
w
i
n
g
f
o
r
m
u
la.
{
(
)
(
)
}
(
1
)
T
h
e
ch
ar
ac
ter
is
tic
i
m
p
ed
an
ce
also
ca
n
b
e
ca
lcu
lated
u
s
i
n
g
t
h
e
f
o
llo
w
in
g
eq
u
atio
n
.
√
(
)
(
2
)
W
h
er
e,
th
e
f
r
ee
s
p
ac
e
w
av
e
i
m
p
ed
a
n
ce
is
Oh
m
s.
T
h
e
ef
f
ec
ti
v
e
d
ielec
tr
ic
co
n
s
ta
n
t
is
t
h
e
n
u
s
ed
to
ca
lcu
late
t
h
e
len
g
th
s
L
(
m
m
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o
f
th
e
r
eso
n
at
o
r
s
o
f
th
e
f
ilter
b
y
u
s
i
n
g
th
e
E
q
u
at
io
n
(
3
)
.
√
(
3
)
W
h
er
e,
f
is
th
e
ce
n
ter
f
r
eq
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e
n
c
y
of
GHz
.
Ho
w
e
v
er
,
in
o
r
d
er
to
g
et
th
e
o
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ti
m
u
m
r
esp
o
n
s
e,
th
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le
n
g
th
s
o
f
th
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r
eso
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s
s
h
o
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ld
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li
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t
l
y
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ied
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h
e
co
u
p
lin
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ef
f
icie
n
t
ca
n
b
e
ca
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lated
b
y
u
s
in
g
E
q
u
atio
n
(
4
)
.
√
(
4
)
W
h
er
e,
th
e
v
al
u
es
o
f
g
i
ca
n
b
e
f
o
u
n
d
in
[
8
]
an
d
FB
W
i
s
th
e
f
r
ac
tio
n
al
b
an
d
w
id
th
t
h
at
ca
n
b
e
ca
lcu
lated
u
s
i
n
g
E
q
u
at
io
n
(
5
)
.
(
5
)
T
h
e
T
ac
o
n
ic
T
L
X
-
8
s
u
b
s
tr
at
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h
a
s
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u
s
ed
i
n
th
i
s
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il
ter
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esig
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elati
v
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th
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ar
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2
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5
5
an
d
0
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5
m
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r
esp
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y
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iz
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f
t
h
e
b
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d
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ass
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ilter
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s
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mm
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.
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h
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an
s
m
is
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io
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5
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d
1
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m
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s
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tiv
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m
ch
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ter
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m
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ce
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h
e
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2
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m
m
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h
ic
h
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l
m
o
s
t
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ter
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v
ele
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g
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h
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ased
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n
E
q
u
atio
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d
its
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h
i
s
,
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2
=
0
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2
8
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m
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t
h
e
l
en
g
t
h
o
f
L
is
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.
2
5
m
m
a
n
d
it
s
w
id
t
h
i
s
W
2
.
T
h
e
s
p
ac
in
g
b
et
w
ee
n
t
h
e
f
i
n
g
er
s
i
s
S
=
0
.
2
5
m
m
;
s
p
ac
i
n
g
b
et
w
ee
n
t
h
e
f
i
n
g
er
s
is
v
er
y
s
ig
n
i
f
ica
n
t
b
ec
au
s
e
t
h
e
co
u
p
lin
g
b
et
wee
n
t
h
e
r
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n
ato
r
s
h
ig
h
l
y
d
ep
en
d
s
o
n
th
e
s
p
ac
i
n
g
;
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th
o
u
g
h
d
u
e
to
t
h
e
li
m
itat
io
n
s
o
f
f
ab
r
icatio
n
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ac
h
i
n
e
u
s
ed
to
f
ab
r
icate
th
e
f
ilter
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to
m
a
k
e
v
er
y
s
m
all
s
p
a
cin
g
i
s
d
if
f
icu
lt.
T
h
e
le
n
g
t
h
o
f
th
e
s
h
u
n
t
s
t
u
b
s
L
3
is
7
m
m
an
d
its
w
id
th
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3
is
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2
5
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m
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w
ell
as
th
e
s
ize
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f
s
q
u
ar
e
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ad
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is
4
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m
m
2
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h
e
s
h
u
n
t
s
tu
b
s
an
d
s
q
u
ar
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p
ad
s
to
g
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h
er
ac
t
a
s
an
i
n
d
u
cto
r
a
n
d
ca
p
ac
ito
r
ef
f
e
ct
[
3
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r
esp
ec
tiv
el
y
as
a
r
es
u
lt,
it
h
elp
s
to
s
e
lect
a
d
es
i
r
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lo
w
er
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to
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f
f
r
eq
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e
n
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y
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il
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h
e
g
r
o
u
n
d
p
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e
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d
th
e
m
icr
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ip
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o
f
th
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ilter
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a
co
p
p
e
r
p
late
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d
th
eir
th
ick
n
e
s
s
i
s
0
.
0
5
m
m
.
Fig
u
r
e
1
s
h
o
w
s
t
h
e
s
ch
e
m
a
tic
d
esi
g
n
o
f
t
h
e
f
ilter
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
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n
g
,
Vo
l.
8
,
No
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J
u
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5
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–
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Fig
u
r
e
1
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L
a
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Dim
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RE
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L
T
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A
ND
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AL
Y
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S
T
h
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n
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ates
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h
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i
m
u
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lt
o
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t
h
e
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d
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ass
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h
e
Ultr
a
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w
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a
n
d
m
icr
o
s
tr
ip
b
an
d
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ass
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ilter
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d
e
s
ig
n
ed
a
n
d
s
i
m
u
la
ted
w
it
h
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ST
Mic
r
o
w
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v
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io
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g
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e
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o
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m
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o
f
th
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f
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r
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ec
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Fig
u
r
e
2
.
Si
m
u
latio
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r
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l
t o
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e
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s
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etu
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ilter
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h
e
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m
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es
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lt
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s
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.
5
GHz
,
w
h
ich
co
v
er
s
t
h
e
f
r
eq
u
e
n
c
y
r
a
n
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f
r
o
m
3
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1
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GHz
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s
th
e
r
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lt,
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h
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r
o
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ter
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h
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th
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ices.
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h
e
ce
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ter
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en
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t
h
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o
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at
th
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ter
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h
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d
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d
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g
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n
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
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&
C
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m
p
E
n
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I
SS
N:
2088
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8708
Desig
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u
r
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h
o
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ate
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ic
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ize
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u
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Fig
u
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I
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D:
SF
1
4
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010
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0060.
RE
F
E
R
E
NC
E
S
[1
]
Z.
C.
Ha
o
a
n
d
J.S
.
Ho
n
g
,
“
Ult
ra
-
W
id
e
b
a
n
d
F
il
ter
T
e
c
h
n
o
lo
g
ies
”
,
IEE
E
M
icr
o
wa
v
e
M
a
g
a
zin
e
,
v
o
l.
1
1
,
n
o
.
4
,
Ju
n
e
2
0
1
0
.
[2
]
J.S
.
Ho
n
g
,
a
n
d
M
.
J.
L
a
n
c
a
ste
r,
“
T
ra
n
s
m
issio
n
L
in
e
s
a
n
d
Co
m
p
o
n
e
n
ts:
M
icro
stri
p
F
il
ters
f
o
r
RF
/M
icro
w
a
v
e
A
p
p
li
c
a
ti
o
n
s”
,
W
il
e
y
S
e
rie
s in
M
i
c
ro
wa
v
e
a
n
d
Op
t
ica
l
E
n
g
i
n
e
e
rin
g
,
p
p
.
7
9
-
8
0
,
2
0
0
1
.
[3
]
S
.
Ku
m
a
ri
a
n
d
M
.
Ku
m
a
r,
“
De
s
ig
n
o
f
P
lan
a
r
Ba
n
d
p
a
ss
F
il
ter
f
o
r
Ultra
-
W
id
e
b
a
n
d
A
p
p
li
c
a
ti
o
n
s”
,
4
th
I
n
t.
C
o
n
f
.
Co
mm
u
n
ica
ti
o
n
s S
y
ste
ms
a
n
d
Ne
t
wo
rk
T
e
c
h
n
o
lo
g
ies
,
p
p
.
3
8
-
4
0
,
2
0
1
4
.
[4
]
S
.
Ku
m
a
ri
a
n
d
M
.
Ku
m
a
r,
“
Ultr
a
-
W
id
e
b
a
n
d
P
lan
a
r
Ba
n
d
p
a
ss
F
il
ter
w
it
h
Du
a
l
No
tch
Be
h
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v
io
r
”
,
I
EE
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In
t.
C
o
n
f
.
Ad
v
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n
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En
g
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&
T
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h
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g
y
Res
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h
,
A
u
g
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st,
2
0
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4
,
Un
n
a
o
,
In
d
ia.
[5
]
W
.
Tan
g
e
t
a
l
.
,
“
A
No
v
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l
U
W
B
Ba
n
d
p
a
ss
F
il
ter
Us
in
g
Hig
h
p
a
ss
a
n
d
L
o
w
p
a
ss
F
il
ters
”
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IEE
E
4
t
h
In
ter
n
a
ti
o
n
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l
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p
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telli
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t
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mm
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c
a
ti
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n
Fo
r
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m
,
M
a
y
2
0
1
2
.
[6
]
S
.
L
a
v
a
n
y
a
,
M
.
U.
M
a
h
e
sh
w
a
ri
e
t
a
l,
“
P
lan
a
r
Ultra
-
W
id
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b
a
n
d
Ba
n
d
p
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ss
F
il
ter
Us
i
n
g
De
f
e
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t
e
d
G
ro
u
n
d
S
tr
u
c
tu
re
”
,
IEE
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2
n
d
In
t.
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n
f.
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n
n
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v
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ti
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n
s
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n
In
f
o
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ti
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n
Emb
e
d
d
e
d
a
n
d
C
o
mm
u
n
ica
ti
o
n
S
y
ste
ms
,
2
0
1
5
.
[7
]
G
.
M
.
Ya
n
g
e
t
a
l
.
,
“
P
lan
a
r
M
icro
strip
UW
B
Ba
n
d
p
a
ss
F
il
ter
Us
in
g
U
-
sh
a
p
e
d
S
lo
t
Co
u
p
l
in
g
S
tr
u
c
tu
r
e
”
,
El
e
c
tro
n
ics
L
e
tt
e
rs
,
v
o
l.
4
2
,
n
o
.
2
5
,
De
c
2
0
0
6
.
[8
]
H.
W
a
n
g
e
t
a
l
.
,
“
Ultra
-
W
id
e
b
a
n
d
Ba
n
d
p
a
ss
F
il
ter
w
it
h
Hy
b
rid
M
i
c
ro
strip
/C
P
W
S
tr
u
c
tu
re
”
,
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
.
1
5
,
n
o
.
1
2
,
p
p
.
8
4
4
-
8
4
6
,
De
c
2
0
0
5
.
[9
]
Y.
Ga
u
ra
v
a
n
d
R.
K.
Ch
a
u
h
a
n
,
“
A
Co
m
p
a
c
t
U
W
B
BP
F
w
it
h
a
No
tch
Ba
n
d
u
sin
g
Re
c
tan
g
u
lar
Re
so
n
a
to
r
S
a
n
d
w
ich
e
d
b
e
tw
e
e
n
In
terd
ig
it
a
l
S
tru
c
t
u
re
”
,
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
El
e
c
trica
l
a
n
d
Co
m
p
u
te
r
En
g
i
n
e
e
rin
g
(
IJ
ECE
)
,
v
o
l.
7
,
n
o
.
5
,
p
p
.
2
4
2
0
-
2
4
2
5
,
2
0
1
7
.
Evaluation Warning : The document was created with Spire.PDF for Python.