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ates
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2
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Fig
u
r
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An
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w
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wh
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h
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m
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li
n
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W
f
=
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1
m
m
w
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6
m
m
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4
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w
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atch
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p
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as
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t
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d
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tact
[
1
7
]
.
T
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atch
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s
ed
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ap
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o
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as [
1
8
]
,
[
1
9
]
:
(
1
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w
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T
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r
ad
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g
cir
cu
lar
p
atch
is
to
co
m
p
e
n
s
at
e
Evaluation Warning : The document was created with Spire.PDF for Python.
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
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u
r
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Si
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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u
r
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Si
m
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Fig
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s
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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:
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Fig
u
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o
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atch
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th
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3
s
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s
th
a
t
t
h
e
s
i
m
u
l
ated
f
r
eq
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e
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cies
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o
r
An
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e
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e
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ated
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y
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d
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2
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.
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h
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s
h
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at
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ca
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m
a
tes
o
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th
e
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n
a
n
ce
f
r
eq
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e
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cies.
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n
th
e
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esi
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n
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s
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n
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n
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o
f
t
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e
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r
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h
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g
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t
h
e
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al
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is
o
f
t
h
e
C
ST
Mic
r
o
w
a
v
e
St
u
d
io
s
u
ite
[
1
8
]
.
T
ab
le
3
.
C
alcu
lated
v
al
u
es o
f
t
h
e
r
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n
a
n
ce
f
r
eq
u
e
n
cie
s
o
f
th
e
lo
w
est t
h
r
ee
m
o
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an
ce
m
e
n
t
is
ac
h
ie
v
ed
b
y
u
s
i
n
g
a
t
w
o
-
s
t
u
b
m
atc
h
in
g
n
et
w
o
r
k
o
n
th
e
m
icr
o
s
tr
ip
f
ee
d
li
n
e.
Si
m
u
latio
n
r
es
u
lt
s
s
h
o
w
ed
th
a
t t
h
e
p
r
o
p
o
s
ed
an
ten
n
a
co
v
er
s
t
w
o
b
a
n
d
s
o
f
f
r
eq
u
e
n
c
y
.
T
h
e
f
r
eq
u
e
n
c
y
r
an
g
e
o
f
t
h
e
f
ir
s
t
b
an
d
i
s
f
r
o
m
5
.
4
3
GHz
to
6
.
0
2
GHz
(
1
0
.
3
%
r
elati
v
e
b
an
d
w
id
t
h
)
w
it
h
a
m
i
n
i
m
u
m
r
e
f
lectio
n
co
ef
f
icie
n
t
o
f
-
2
0
.
4
5
d
B
at
5
.
7
2
GHz
.
T
h
e
s
ec
o
n
d
b
an
d
c
o
v
er
s
a
w
id
e
f
r
eq
u
e
n
c
y
r
a
n
g
e
f
r
o
m
8
.
4
GHz
to
1
3
.
3
GHz
(
4
5
.
1
6
% r
elativ
e
b
an
d
w
id
t
h
)
.
T
h
e
d
o
u
b
le
-
s
tu
b
m
at
ch
in
g
h
as
f
ac
ilit
a
ted
th
e
u
tili
za
tio
n
o
f
t
w
o
h
ig
h
er
-
m
o
d
e
s
f
o
r
b
an
d
w
id
th
e
x
te
n
s
io
n
o
f
t
h
e
cir
cu
lar
m
icr
o
s
tr
ip
an
t
en
n
a
th
a
t is
k
n
o
w
n
b
y
its
n
ar
r
o
w
b
an
d
w
id
t
h
.
T
h
e
m
ax
i
m
u
m
ac
h
iev
ab
le
g
ai
n
o
f
An
te
n
n
a
-
I
I
in
th
e
f
ir
s
t
b
an
d
is
4
.
6
2
d
B
i
w
h
ile
it
is
4
.
8
5
d
B
i
in
t
h
e
s
ec
o
n
d
b
an
d
.
T
h
e
an
ten
n
a
o
f
f
er
s
lo
w
p
r
o
f
il
e
d
u
al
-
b
an
d
,
h
ig
h
g
ai
n
a
n
d
co
m
p
ac
t
s
ize
w
h
ic
h
ar
e
f
av
o
r
ab
l
e
f
ea
t
u
r
es
f
o
r
W
i
-
Fi
an
d
X
-
b
an
d
b
r
o
ad
b
an
d
ap
p
lic
atio
n
s
.
RE
F
E
R
E
NC
E
S
[1
]
S
in
g
h
A
,
A
n
sa
ri
J
A
,
A
n
e
e
sh
M
,
S
a
y
e
e
d
S
.
“
L
-
strip
p
ro
x
im
it
y
fe
d
g
a
p
c
o
u
p
led
c
o
m
p
a
c
t
se
m
i
-
c
ir
c
u
lar
d
isk
p
a
tch
a
n
ten
n
a
”
.
Al
e
x
a
n
d
ri
a
E
n
g
i
n
e
e
rin
g
J
o
u
r
n
a
l
,
2
0
1
4
;
Vo
l.
5
3
:
6
1
–
6
7
.
[2
]
P
o
z
a
r
DM,
Ka
u
fm
a
n
B.
“
In
c
re
a
sin
g
th
e
b
a
n
d
w
id
th
o
f
a
m
icro
st
rip
a
n
ten
n
a
b
y
p
ro
x
i
m
it
y
c
o
u
p
li
n
g
”
.
El
e
c
tro
n
ics
L
e
tt
e
rs
,
1
9
8
7
;
Vo
l.
2
3
(8
):
3
6
8
-
3
6
9
.
[3
]
A
n
g
u
e
ra
J,
P
u
e
n
te
C,
Bo
rja
C
.
“
Du
a
l
fre
q
u
e
n
c
y
b
r
o
a
d
b
a
n
d
mic
ro
strip
a
n
te
n
n
a
wit
h
a
re
a
c
ti
v
e
lo
a
d
i
n
g
and
sta
c
k
e
d
e
lem
e
n
ts
”
.
Pro
g
re
ss
i
n
El
e
c
tro
ma
g
n
e
ti
c
s R
e
se
a
rc
h
L
e
tt
e
rs
,
2
0
0
9
;
Vo
l.
1
0
:
1
-
1
0
.
[4
]
K
a
m
a
k
sh
i
KM,
S
in
g
h
A
,
A
n
e
e
sh
M
,
A
n
sa
ri
J
A
.
“
No
v
e
l
d
e
sig
n
o
f
m
icro
strip
a
n
ten
n
a
w
it
h
im
p
ro
v
e
d
b
a
n
d
w
id
t
h
”
.
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
M
icr
o
wa
v
e
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
lo
g
y
,
2
0
1
4
;
Vo
l.
2
0
1
4
,
A
rti
c
le ID
6
5
9
5
9
2
,
7
p
a
g
e
s.
[5
]
Zh
o
u
Y
,
Ch
e
n
C
-
C,
V
o
lak
is
JL
.
“
Du
a
l
-
Ba
n
d
p
ro
x
im
it
y
-
fe
d
sta
c
k
e
d
p
a
tch
a
n
ten
n
a
f
o
r
T
ri
-
Ba
n
d
G
P
S
a
p
p
li
c
a
ti
o
n
s
”
.
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
An
te
n
n
a
s a
n
d
Pr
o
p
a
g
a
ti
o
n
,
2
0
0
7
;
V
o
l
.
5
5
(
1
):
2
2
0
–
2
2
3
.
[6
]
W
a
n
g
Y
,
F
e
n
g
J,
Cu
i
J,
Ya
n
g
X
.
“
A
d
u
a
l
-
b
a
n
d
c
irc
u
l
a
rly
p
o
l
a
rize
d
sta
c
k
e
d
mic
ro
stri
p
a
n
te
n
n
a
wit
h
sin
g
le
-
fed
fo
r
GPS
a
p
p
li
c
a
ti
o
n
s
”
.
In
tern
a
ti
o
n
a
l
S
y
m
p
o
siu
m
o
n
A
n
ten
n
a
P
r
o
p
a
g
a
ti
o
n
a
n
d
E
M
T
h
e
o
r
y
,
2
0
0
8
;
IS
A
P
2
0
0
8
:
108
–
1
1
0
.
[7
]
A
b
u
T
a
rb
o
u
sh
HF
,
Al
-
Ra
w
e
sh
id
y
HS,
Nilav
a
lan
R.
“
Ba
n
d
wi
d
t
h
e
n
h
a
n
c
e
me
n
t
fo
r
mic
r
o
strip
p
a
tch
a
n
ten
n
a
u
sin
g
sta
c
k
e
d
p
a
tc
h
a
n
d
slo
t
”
.
IEE
E
In
t
e
rn
a
ti
o
n
a
l
W
o
rk
sh
o
p
o
n
A
n
ten
n
a
T
e
c
h
n
o
lo
g
y
,
iW
AT
2
0
0
9
,
2
-
4
M
a
rc
h
2
0
0
9
.
[8
]
F
a
n
g
,
Q.,
a
n
d
L
izh
o
n
g
,
S
.
,
W
id
e
b
a
n
d
Du
a
ll
i
n
e
a
r
P
o
la
rize
d
S
t
a
c
k
e
d
Pa
tch
A
n
ten
n
a
wi
th
Asy
m
me
ry
Fee
d
in
g
,
T
EL
KOM
NIKA
(
T
e
lec
o
mm
u
n
ica
t
io
n
C
o
mp
u
ti
n
g
E
lec
tro
n
ics
a
n
d
C
o
n
tro
l)
,
2
0
1
4
,
Vo
l
1
2
(1
)
:
1
0
6
-
1
1
2
[9
]
P
h
a
m
N,
Ch
u
n
g
JY
,
L
e
e
B.
“
A
P
ro
x
im
it
y
-
F
e
d
a
n
ten
n
a
f
o
r
d
u
a
l
-
b
a
n
d
G
P
S
re
c
e
iv
e
r
”
,
Pro
g
re
s
s
I
n
El
e
c
tro
ma
g
n
e
ti
c
s
Res
e
a
rc
h
C
,
2
0
1
6
;
V
o
l.
6
1
:
1
–
8.
[1
0
]
T
o
rre
s
E,
M
a
ra
n
te
F
,
T
a
z
ó
n
A
,
V
a
ss
a
l’l
o
J.
“
Ne
w
mic
ro
strip
ra
d
ia
t
o
r
fee
d
i
n
g
b
y
e
lec
tro
ma
g
n
e
ti
c
c
o
u
p
l
in
g
f
o
r
c
irc
u
la
r
p
o
la
riz
a
ti
o
n
”
.
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
tro
n
ics
a
n
d
Co
mm
u
n
ica
ti
o
n
s
(
AE
Ü),
2
0
1
5
;
Vo
l.
6
9
(1
2
)
:
1
8
8
0
-
1
8
8
4
.
[1
1
]
L
iu
Y
,
Ch
e
n
S
,
Re
n
Y,
Ch
e
n
g
J,
L
iu
Q.
“
A
b
ro
a
d
b
a
n
d
p
r
o
x
im
it
y
-
c
o
u
p
led
d
u
a
l
-
p
o
lariz
e
d
m
icro
strip
a
n
ten
n
a
w
it
h
L
-
sh
a
p
e
b
a
c
k
e
d
c
a
v
it
y
f
o
r
X
-
b
a
n
d
a
p
p
li
c
a
ti
o
n
s
”
.
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
El
e
c
tro
n
ics
a
n
d
Co
mm
u
n
i
c
a
ti
o
n
s
(
AE
Ü)
,
2
0
1
5
;
Vo
l.
6
9
(9
):
1
2
2
6
-
1
2
3
2
.
[1
2
]
W
a
h
a
b
A
,
X
u
J.
“
U
-
slo
t
Circ
u
l
a
r
Pa
tch
An
te
n
n
a
fo
r
W
L
AN
Ap
p
li
c
a
ti
o
n
”
,
T
EL
KOM
NIKA
(
T
e
lec
o
mm
u
n
ica
t
io
n
Co
mp
u
t
in
g
El
e
c
tro
n
ics
a
n
d
C
o
n
tr
o
l)
,
2
0
1
5
,
Vo
l
1
4
(2
)
:
3
2
3
-
3
2
8
.
[1
3
]
Ra
jn
i
R,
Ka
u
r
G
,
M
a
rw
a
h
a
A
.
“
M
e
ta
m
a
teria
l
In
sp
ired
P
a
tch
A
n
ten
n
a
f
o
r
I
S
M
Ba
n
d
b
y
A
d
d
in
g
S
in
g
le
-
L
a
y
e
r
Co
m
p
le
m
e
n
tar
y
S
p
li
t
Rin
g
Re
so
n
a
to
rs
”,
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
Co
m
p
u
ter
En
g
in
e
e
rin
g
(
IJ
ECE
)
2
0
1
5
,
Vo
l
5
(6
)
:
1
3
2
8
-
1
3
3
5
[1
4
]
T
ian
g
JJ
,
Isla
m
M
T
,
M
isra
n
N,
M
a
n
d
e
e
p
JS,
“
Circu
lar
m
ic
ro
strip
slo
t
a
n
ten
n
a
f
o
r
d
u
a
l
-
f
r
e
q
u
e
n
c
y
RF
ID
a
p
p
li
c
a
ti
o
n
”
,
Pro
g
re
ss
In
El
e
c
tro
ma
g
n
e
ti
c
s R
e
se
a
rc
h
,
2
0
1
1
;
V
o
l
.
1
2
0
:
4
9
9
-
5
1
2
.
[1
5
]
Ch
e
n
J,
L
iu
J.
“
A
n
e
w
b
ro
a
d
b
a
n
d
d
u
a
l
-
lay
e
r
m
o
n
o
p
l
o
lar
c
ircu
lar p
a
tch
a
n
ten
n
a
w
it
h
sl
o
t
c
o
u
p
l
in
g
”
.
M
icr
o
wa
v
e
a
n
d
Op
ti
c
a
l
T
e
c
h
n
o
lo
g
y
L
e
tt
e
rs
,
2
0
1
7
;
Vo
l.
5
9
(1
)
:
4
0
-
4
3
.
[1
6
]
M
it
c
h
e
ll
A
,
L
e
c
h
M
,
W
a
terh
o
u
se
RB.
“
S
e
a
rc
h
f
o
r
h
ig
h
-
p
e
rf
o
r
m
a
n
c
e
p
ro
b
e
-
f
e
d
sta
c
k
e
d
p
a
tch
e
s u
sin
g
o
p
ti
m
iza
ti
o
n
”
.
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
An
te
n
n
a
s a
n
d
Pr
o
p
a
g
a
ti
o
n
,
2
0
0
3
;
V
o
l
.
5
1
(2
)
:
2
4
9
-
2
5
5
.
[1
7
]
S
a
str
y
IV
,
S
a
n
k
a
r
K.
“
P
r
o
x
im
it
y
c
o
u
p
led
re
c
tan
g
u
lar
m
icro
strip
a
n
ten
n
a
w
it
h
X
-
sl
o
t
f
o
r
W
LAN
A
p
p
li
c
a
ti
o
n
”
.
Glo
b
a
l
J
o
u
rn
a
l
o
f
Res
e
a
rc
h
e
s in
En
g
i
n
e
e
rin
g
,
2
0
1
4
;
V
o
l.
1
4
,
Iss
u
e
1
,
V
e
r.
1
.
0
:
3
8
-
4
2
.
[1
8
]
Ba
lan
is
CA
.
“
A
n
ten
n
a
th
e
o
ry
,
a
n
a
l
y
sis a
n
d
d
e
sig
n
”
.
3
rd
Ed
it
io
n
,
J
o
h
n
W
il
e
y
&
S
o
n
s,
2
0
1
0
:
8
1
1
-
8
7
6
.
[1
9
]
G
a
r
g
R,
e
t
a
l.
,
”
M
icro
strip
a
n
ten
n
a
s d
e
sig
n
h
a
n
d
b
o
o
k
”
,
Ch
a
p
ter 5
,
A
rtec
h
Ho
u
se
,
2
0
0
1
.
[2
0
]
“
CS
T
:
Co
m
p
u
ter
sim
u
latio
n
tec
h
n
o
lo
g
y
b
a
se
d
o
n
F
DT
D
m
e
th
o
d
”
,
CS
T
Co
m
p
u
ter
S
im
u
latio
n
T
e
c
h
n
o
lo
g
y
AG
,
2
0
1
1
.
[2
1
]
A
b
d
e
laz
iz,
AA
.
“
Ba
n
d
w
id
th
e
n
h
a
n
c
e
m
e
n
t
o
f
m
i
c
ro
strip
a
n
ten
n
a
”
.
2
0
0
6
;
Pro
g
re
ss
In
El
e
c
tro
m
a
g
n
e
ti
c
s R
e
se
a
rc
h
,
P
ier
6
3
:
3
1
1
–
3
1
7
.
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