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m
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tel
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tili
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r
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w
a
v
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1
]
,
[
2
]
.
An
R
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r
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r
eq
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c
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id
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tif
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f
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(
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T
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h
as
b
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s
tan
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ar
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to
k
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elec
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ag
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d
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[
3
]
.
T
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f
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b
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d
s
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ted
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a
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8708
A
Min
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2281
(
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F:
1
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KHz
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th
e
h
ig
h
f
r
eq
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en
c
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an
d
(
HF:
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z)
,
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an
d
(
8
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d
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icr
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w
a
v
e
b
an
d
(
2
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4
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GHz
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[
4
]
,
[
5]
.
I
n
late
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t
y
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r
s
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R
FID
te
ch
n
o
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g
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h
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m
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s
t
c
o
v
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in
t
h
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ar
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s
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s
esp
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y
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ac
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g
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b
an
d
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p
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[
6
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T
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f
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s
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s
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u
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d
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6
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Mo
r
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cc
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,
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d
s
o
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n
[
7
]
,
[
8
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.
Hav
i
n
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ee
n
d
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ated
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th
e
m
o
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ip
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lar
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o
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So
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s
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in
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liter
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o
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ate,
[
1
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s
m
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B
u
t
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2.
ANT
E
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SI
G
N
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Fi
g
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1
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T
ab
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1
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is
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d
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T
h
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s
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esig
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f
o
r
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R
FID
ap
p
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s
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n
t
h
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f
r
eq
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c
y
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g
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f
8
9
0
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it h
as d
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ab
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h
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tan
t
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=
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4
,
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b
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ate
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m
m
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s
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g
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n
t
o
f
0
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0
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5
.
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h
e
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te
n
n
a
is
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ed
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y
m
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s
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ip
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n
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(
5
0
Ω
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v
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an
SM
A
co
n
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to
r
.
T
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e
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atch
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th
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P
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lectr
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C
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r
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P
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f
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m
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h
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ten
n
a
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aller
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m
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0
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m
2
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r
a
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t
0
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2
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6
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e
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a
f
r
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s
p
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w
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h
at
9
2
0
MH
z.
T
h
e
r
esu
lts
o
f
s
i
m
u
latio
n
o
f
th
e
an
t
en
n
a
w
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e
ac
h
iev
ed
u
s
i
n
g
th
e
s
o
f
t
w
ar
e
HFSS
a
n
d
C
ST
.
T
h
e
d
esig
n
o
f
th
e
m
ea
n
d
er
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es
is
d
o
n
e
b
y
th
e
co
n
s
tr
u
ct
io
n
an
d
co
m
b
i
n
atio
n
o
f
lin
es
.
I
t’
s
o
n
e
tech
n
iq
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e
o
f
r
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ci
n
g
t
h
e
s
ize
o
f
a
n
a
n
te
n
n
a
an
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n
b
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b
y
m
ea
n
d
er
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n
g
v
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tical
a
n
d
h
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n
ta
l
li
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I
n
ca
s
e
o
f
m
ea
n
d
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lin
e,
if
m
e
an
d
er
s
p
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in
g
i
s
in
cr
ea
s
ed
,
r
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o
n
an
t
f
r
eq
u
en
c
y
les
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en
s
,
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d
if
m
ea
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s
p
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is
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ea
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ed
in
cr
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r
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.
I
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o
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v
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o
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m
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v
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tr
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o
f
m
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d
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e
is
d
escr
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in
a
p
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tu
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Fig
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r
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Geo
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e
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f
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Fig
u
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5
8
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an
d
th
e
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t
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r
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en
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y
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li
g
h
t
l
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w
ar
d
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ce
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ter
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r
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e
n
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m
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e
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u
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ti
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ized
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ab
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n t
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atch
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izatio
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u
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ar
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S
1
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e
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g
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d
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ter
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e
n
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y
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Fro
m
th
e
s
e
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s
s
h
o
w
n
i
n
Fig
u
r
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2
,
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e
o
p
ti
m
ized
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g
t
h
o
f
th
e
v
er
tica
l lin
e
(
L
a)
is
8
.
5
m
m
(
s
ee
also
T
ab
le
2
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.
Fig
u
r
e
2
.
Si
m
u
lated
v
al
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es o
f
|
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1
|
o
f
t
h
e
an
te
n
n
a
f
o
r
v
ar
io
u
s
s
izes o
f
L
a
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
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lec
&
C
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m
p
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g
I
SS
N:
2088
-
8708
A
Min
i
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R
F
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A
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t
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n
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in
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n
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f
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P
ar
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u
r
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s
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d
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tain
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ar
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e
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en
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n
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d
s
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m
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r
ea
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an
d
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1
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2
3
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5
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z)
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e
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6
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z)
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lik
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Me
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d
s
(
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d
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th
t
h
at
e
x
ce
ed
s
5
0
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z.
F
ig
u
r
e
3.
Si
m
u
lated
v
al
u
es o
f
|
S1
1
|
o
f
th
e
a
n
te
n
n
a
f
o
r
v
ar
io
u
s
s
izes o
f
W
c
T
ab
le
3
.
E
f
f
ec
t o
f
C
h
an
g
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n
g
Si
ze
o
f
(
W
c)
o
n
A
n
te
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n
a
P
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f
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r
m
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ce
P
ar
a
m
eter
s
V
a
l
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f
L
a
[
mm
]
R
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f
l
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c
t
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n
c
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e
f
f
i
c
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t
(
S
1
1
)
[
d
B
]
R
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n
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F
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t
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w
idth o
f
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rizo
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(
Drw
)
o
n t
he
ce
nte
r
re
s
o
na
nt
f
re
qu
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T
h
e
s
tu
d
y
w
as a
l
s
o
ca
r
r
ied
o
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t o
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o
t
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er
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ar
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m
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i
m
p
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ta
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t o
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ip
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le;
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n
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ar
am
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is
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n
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ed
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k
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n
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tan
t.
Fi
g
u
r
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4
s
h
o
w
s
th
at
t
h
e
ce
n
ter
f
r
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u
e
n
c
y
is
i
n
cr
ea
s
in
g
w
h
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t
h
e
W
id
th
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f
Dr
v
ar
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in
a
r
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is
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h
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g
ed
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m
0
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5
m
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m
m
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T
ab
le
4
s
u
m
m
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izes
th
e
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an
d
w
id
t
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d
r
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n
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s
f
r
eq
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cies o
b
tai
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ed
b
y
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ar
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w
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ar
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m
e
ter
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h
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ar
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eter
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g
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tl
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s
h
i
f
t
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th
e
r
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n
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n
ce
f
r
eq
u
e
n
c
y
f
r
o
m
9
1
7
.
5
MH
z
to
9
2
0
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7
MH
z
k
e
ep
in
g
t
h
e
s
a
m
e
b
a
n
d
w
id
th
,
it
s
u
s
e
f
u
l
n
e
s
s
is
to
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ea
ch
e
x
ac
tl
y
t
h
e
d
esire
d
r
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n
an
ce
f
r
eq
u
en
c
y
i
n
t
h
e
v
ar
io
u
s
R
FID
-
UH
F
b
an
d
s
,
it is
en
o
u
g
h
j
u
s
t to
v
ar
y
th
e
p
ar
a
m
eter
f
o
r
d
if
f
er
en
t
v
a
lu
es.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
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m
p
E
n
g
,
Vo
l.
8
,
No
.
4
,
A
u
g
u
s
t
201
8
:
2
2
8
0
–
2
2
8
9
2284
Fig
u
r
e
4
.
Si
m
u
lated
v
al
u
es o
f
|
S1
1
|
o
f
th
e
a
n
te
n
n
a
f
o
r
v
ar
io
u
s
s
izes o
f
Dr
w
T
ab
le
4
.
E
f
f
ec
t o
f
C
h
an
g
i
n
g
Si
ze
o
f
(
Dr
w
)
o
n
An
ten
n
a
P
er
f
o
r
m
an
ce
P
ar
a
m
eter
s
V
a
l
u
e
o
f
L
a
[
mm
]
R
e
f
l
e
c
t
i
o
n
c
o
e
f
f
i
c
i
e
n
t
(
S
1
1
)
[
d
B
]
R
e
so
n
a
n
t
F
r
e
q
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e
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c
y
[
M
H
z
]
B
a
n
d
w
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d
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h
[
M
H
z
]
0
.
5
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4
3
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8
3
9
1
7
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5
8
9
2
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7
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9
4
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3
1
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4
4
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3
8
9
1
8
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7
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ate
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en
t
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al
a
n
te
n
n
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n
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d
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r
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o
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ed
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s
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r
UHF
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FID
ap
p
licatio
n
s
.
RE
F
E
R
E
NC
E
S
[1
]
K.
F
in
k
e
n
z
e
ll
e
r,
“
RF
ID Ha
n
d
b
o
o
k
,
”
2
n
d
e
d
.
Ne
w
Yo
rk
,
NY
,
USA
,
W
il
e
y
,
2
0
0
4
.
[2
]
R
.
W
a
n
t,
“
A
n
in
tro
d
u
c
ti
o
n
to
R
F
I
D t
e
c
h
n
o
l
o
g
y
,
”
IEE
E
Per
v
a
siv
e
C
o
mp
u
t
.
,
v
o
l
.
5
,
n
o
.
1
,
p
p
.
2
5
-
3
3
,
2
0
0
6
.
[3
]
D.
Be
c
h
e
v
e
t,
“
Co
n
tri
b
u
ti
o
n
a
u
d
é
v
e
lo
p
p
e
m
e
n
t
d
e
tag
s
RF
ID,
e
n
UH
F
e
t
m
icro
-
o
n
d
e
s
su
r
m
a
téria
u
x
p
las
ti
q
u
e
s
,
”
th
è
se
d
o
c
to
ra
t
d
e
l’IN
P
G
,
2
0
0
5
.
[4
]
S.
T
e
d
ji
n
i,
e
t
al
.
,
“
Ra
d
i
o
f
re
q
u
e
n
c
y
id
e
n
ti
f
ica
ti
o
n
sy
ste
m
f
ro
m
a
n
ten
n
a
c
h
a
ra
c
t
e
riza
ti
o
n
t
o
sy
st
e
m
v
a
li
d
a
ti
o
n
,
”
In
v
it
e
d
p
a
p
e
r,
Asia
-
P
a
c
if
ic M
icr
o
wa
v
e
Co
n
fer
e
n
c
e
,
Ne
w
De
lh
i,
In
d
ia
,
2
0
0
4
.
[5
]
G
.
Ba
c
k
h
o
u
se
,
“
RF
ID:
F
re
q
u
e
n
c
y
,
sta
n
d
a
rd
s,
a
d
o
p
ti
o
n
a
n
d
in
n
o
v
a
ti
o
n
,
”
J
I
S
C
T
e
c
h
n
o
l
o
g
y
a
n
d
st
a
n
d
a
r
d
s
W
a
tch
,
L
o
n
d
o
n
,
2
0
0
6
.
[6
]
“
Re
g
u
lato
r
y
sta
tu
s f
o
r
u
sin
g
RF
I
D i
n
t
h
e
E
P
C
G
e
n
2
(
8
6
0
to
9
6
0
M
Hz
)
b
a
n
d
o
f
th
e
UH
F
sp
e
c
tr
u
m
,
”
2
0
1
6
.
[7
]
Na
si
m
u
d
d
in
,
e
t
a
l
.
,
“
A
s
y
m
m
e
tri
c
-
c
ircu
lar
sh
a
p
e
d
slo
t
ted
m
icro
strip
a
n
ten
n
a
s
f
o
r
c
ircu
lar
p
o
lariz
a
ti
o
n
a
n
d
R
F
ID
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
Pro
p
a
g
a
ti
o
n
,
v
o
l
.
58
,
n
o
.
1
2
,
p
p
.
3
8
2
1
-
3
8
2
8
,
2
0
1
0
.
[8
]
R.
Ca
o
a
n
d
S
.
C.
Yu
,
“
W
id
e
b
a
n
d
c
o
m
p
a
c
t
CP
W
-
f
e
d
c
ircu
larl
y
p
o
l
a
rize
d
a
n
ten
n
a
f
o
r
u
n
iv
e
rsa
l
UH
F
RF
ID
re
a
d
e
r,
”
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
,
v
o
l
.
63
,
n
o
.
9
,
p
p
.
4
1
4
8
-
4
1
5
1
,
2
0
1
5
.
[9
]
I.
J.
Ba
h
l
a
n
d
B
h
a
rti
a
,
“
M
icro
str
i
p
a
n
ten
n
a
s d
e
sig
n
h
a
n
d
b
o
o
k
,
”
L
o
n
d
o
n
,
A
rtec
h
Ho
u
se
,
2
0
0
1
.
[1
0
]
J.
Q.
Ho
w
e
ll
,
“
M
icro
strip
a
n
ten
n
a
s,”
Dig
.
I
n
t.
S
y
mp
.
A
n
ten
n
a
s
Pro
p
a
g
a
t.
S
o
c
.
,
W
il
l
ia
ms
b
u
rg
,
V
A
,
p
p
.
1
7
7
-
1
8
0
,
1
9
7
2
.
[1
1
]
Y.
L
o
,
e
t
a
l.
,
“
T
h
e
o
ry
a
n
d
e
x
p
e
rime
n
t
o
n
m
icro
strip
a
n
ten
n
a
s,”
IE
EE
T
ra
n
s
a
c
ti
o
n
s
o
n
A
n
ten
n
a
s
a
n
d
Pro
p
a
g
a
ti
o
n
,
v
ol
.
27
,
n
o
.
2
,
p
p
.
1
3
7
-
1
4
5
,
1
9
7
9
.
[1
2
]
H.
T
.
Ng
u
y
e
n
,
e
t
a
l.
,
“
M
icro
stri
p
p
a
tch
a
n
ten
n
a
m
in
iatu
riza
ti
o
n
b
y
slo
ts
lo
a
d
in
g
,
”
IEE
E
A
n
ten
n
a
s
a
n
d
Pro
p
a
g
a
ti
o
n
S
o
c
iety
In
ter
n
a
ti
o
n
a
l
S
y
mp
o
si
u
m
,
p
p
.
2
1
5
-
2
1
8
,
2
0
0
5
.
[1
3
]
D.
M
it
ra
,
e
t
a
l.
,
“
A
m
in
iatu
rize
d
rin
g
slo
t
a
n
ten
n
a
d
e
sig
n
w
it
h
e
n
h
a
n
c
e
d
ra
d
iatio
n
c
h
a
ra
c
teristics
,
”
IEE
E
T
ra
n
s.
An
ten
n
a
s P
r
o
p
a
g
.
,
v
ol
.
64
,
n
o
.
1,
pp.
3
0
0
-
3
0
5
,
2
0
1
6
.
[1
4
]
Z.
H.
W
u
,
e
t
a
l.
,
“
A
c
o
m
p
a
c
t
q
u
a
d
b
a
n
d
-
n
o
tch
e
d
UW
B
m
o
n
o
p
o
le
a
n
te
n
n
a
l
o
a
d
e
d
o
n
e
late
ra
l
l
-
sh
a
p
e
d
sl
o
t,
”
Pro
g
re
ss
in
E
lec
tro
ma
g
n
e
ti
c
s R
e
se
a
rc
h
,
v
o
l.
1
3
9
,
p
p
.
3
0
3
-
3
1
5
,
2
0
1
3
.
[1
5
]
C
.
G
u
e
s
m
i,
e
t
a
l.
,
“
A
M
o
d
if
ied
F
ra
c
tal
Bo
w
T
ie
A
n
ten
n
a
f
o
r
a
n
R
F
ID
Re
a
d
e
r
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
E
lec
trica
l
a
n
d
Co
m
p
u
ter
E
n
g
i
n
e
e
rin
g
(
IJ
ECE
),
v
ol
.
4
,
n
o
.
3
,
2
0
1
4
.
[1
6
]
M
.
Ih
a
m
ji
,
e
t
a
l.
,
“
De
sig
n
o
f
Co
m
p
a
c
t
T
ri
-
B
a
n
d
F
ra
c
tal
A
n
ten
n
a
f
o
r
RF
ID
Re
a
d
e
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
C
o
mp
u
ter
En
g
in
e
e
rin
g
(
IJ
ECE
),
v
ol
.
7
,
n
o
.
4
,
p
p
.
2
0
3
6
-
2
0
4
4
,
2
0
1
7
.
[1
7
]
M.
Ch
a
k
ra
b
o
rty
,
e
t
a
l.
,
“
S
ize
re
d
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Evaluation Warning : The document was created with Spire.PDF for Python.