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[
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[
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[
6
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[
6
]
.
B
u
tler
m
a
tr
ix
(
B
M)
is
o
n
e
o
f
t
h
e
m
o
s
t
p
o
p
u
lar
b
ea
m
f
o
r
m
i
n
g
n
et
w
o
r
k
s
u
s
ed
i
n
a
s
w
itc
h
ed
b
ea
m
s
m
ar
t
a
n
te
n
n
a
s
y
s
te
m
d
u
e
t
o
m
a
n
y
ad
v
a
n
tag
e
s
[
7
]
,
[
8
]
:
Fis
t,
it
i
s
ab
le
to
g
en
er
ate
o
r
th
o
g
o
n
al
b
ea
m
s
w
i
th
h
i
g
h
d
ir
ec
tiv
it
y
.
Seco
n
d
,
i
t
h
as
a
s
i
m
p
le
ar
ch
itect
u
r
e
w
ith
a
r
ed
u
ce
d
n
u
m
b
er
o
f
co
m
p
o
n
e
n
ts
co
m
p
ar
ed
to
o
t
h
er
b
ea
m
f
o
r
m
i
n
g
n
et
w
o
r
k
s
(
n
o
len
m
atr
i
x
,
b
las
s
m
a
tr
ix
)
.
T
h
i
r
d
,
it
ca
n
b
e
ea
s
il
y
i
m
p
le
m
en
ted
a
s
w
ell
a
s
t
h
e
an
te
n
n
a
ar
r
a
y
o
n
t
h
e
s
a
m
e
s
u
b
s
tr
ate
u
s
i
n
g
m
ir
co
s
tr
ip
tec
h
n
o
lo
g
y
.
T
h
is
p
ap
er
p
r
esen
ts
t
h
e
s
t
u
d
y
,
d
es
i
g
n
,
s
i
m
u
latio
n
,
a
n
d
i
m
p
le
m
e
n
tatio
n
o
f
a
s
w
i
tch
ed
b
ea
m
s
m
ar
t
an
ten
n
a
b
ased
o
n
a
p
lan
ar
4
X4
b
u
tler
m
a
tr
ix
at
5
.
8
GHz
.
I
t is p
r
o
p
o
s
ed
as th
e
tr
an
s
m
itt
in
g
an
ten
n
a
f
o
r
a
MP
T
s
y
s
te
m
.
Fig
u
r
e
1
.
Gen
er
al
b
lo
ck
d
iag
r
a
m
o
f
a
MP
T
s
y
s
te
m
2.
SWI
T
CH
E
D
B
E
AM
S
M
ART ANT
E
NN
A
T
h
e
s
w
itc
h
ed
b
ea
m
s
y
s
te
m
m
ain
l
y
co
n
s
i
s
ts
o
f
an
a
n
ten
n
a
a
r
r
ay
an
d
a
b
ea
m
f
o
r
m
i
n
g
n
e
t
wo
r
k
.
I
t
ca
n
f
o
r
m
s
e
v
er
al
f
i
x
ed
b
ea
m
s
w
it
h
en
h
an
ce
d
s
en
s
iti
v
it
y
in
a
s
p
ec
if
ic
d
ir
ec
tio
n
[
9
]
.
M
o
r
eo
v
er
,
it
d
etec
ts
s
ig
n
al
s
tr
en
g
th
,
s
elec
t
s
o
n
e
o
f
t
h
e
s
e
v
er
al
p
r
ed
eter
m
i
n
ed
f
ix
ed
b
ea
m
s
,
a
n
d
s
w
itc
h
es
f
r
o
m
o
n
e
b
ea
m
to
a
n
o
t
h
er
as
th
e
tar
g
et
m
o
v
es
[
10
].
Fig
u
r
e
2
illu
s
tr
ate
s
t
h
e
b
asic
s
tr
u
ct
u
r
e
o
f
a
s
w
itc
h
ed
b
ea
m
s
y
s
te
m
t
h
at
w
e
w
i
ll
u
s
e
i
n
o
u
r
s
tu
d
y
.
I
n
tr
an
s
m
is
s
io
n
m
o
d
e,
w
h
e
n
a
R
F
s
i
g
n
al
is
ap
p
lied
to
t
h
e
i
n
p
u
t
o
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th
e
s
w
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ed
b
ea
m
s
m
a
r
t
an
te
n
n
a,
it
is
s
w
i
tch
ed
to
o
n
e
o
f
t
h
e
b
e
a
m
f
o
r
m
i
n
g
n
et
w
o
r
k
s
p
o
r
ts
(
4
x
4
b
u
tler
m
atr
i
x
i
n
o
u
r
s
t
u
d
y
)
[
1
1
]
,
[
1
2
]
.
T
h
e
p
o
r
t
is
s
elec
ted
ac
co
r
d
in
g
to
th
e
p
o
s
itio
n
o
f
t
h
e
d
esire
d
tar
g
et
.
T
h
e
b
u
tler
m
atr
i
x
d
iv
id
es
t
h
e
in
p
u
t
s
i
g
n
al
in
to
f
o
u
r
s
ig
n
al
s
o
f
t
h
e
s
a
m
e
a
m
p
li
tu
d
e
an
d
w
it
h
t
h
e
r
eq
u
ir
ed
p
h
ase
s
h
if
t
[
1
1
]
-
[
2
3
]
.
Fin
all
y
,
t
h
e
an
te
n
n
a
ar
r
a
y
g
en
er
ates
th
e
co
r
r
esp
o
n
d
in
g
r
ad
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n
p
atter
n
(
Fo
u
r
o
r
th
o
g
o
n
a
l
b
e
a
m
s
ar
e
g
en
er
ated
an
d
p
o
in
ted
in
ce
r
tain
d
ir
ec
tio
n
(
an
g
le
θ
i
)
)
[
1
0
]
-
[
2
0
]
.
Fig
u
r
e
3
illu
s
tr
ate
s
an
e
x
a
m
p
le
o
f
a
4
x
4
b
u
tler
m
a
tr
ix
[
9
]
,
[
1
8
]
-
[
2
4
]
.
Fig
u
r
e
2
.
B
asic stru
ct
u
r
e
o
f
a
s
w
itc
h
ed
b
ea
m
s
y
s
te
m
Fig
u
r
e
3
.
4
x
4
Ma
tr
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B
u
tler
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p
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lo
g
y
T
h
e
p
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ase
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if
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er
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ce
at
th
e
o
u
tp
u
t p
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ts
is
g
i
v
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n
b
y
(
1
)
[
1
4
]:
∆
φ
=
∓
2n
−
1
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∗
180°
(
1
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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6
9
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r
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,
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t
h
e
ca
s
e
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f
a
4
x
4
m
a
tr
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h
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b
ea
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n
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[
1
5
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±
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P
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h
e
d
esig
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s
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d
s
im
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latio
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s
o
f
all
ci
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cu
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ts
at
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GHz
w
er
e
p
e
r
f
o
r
m
ed
u
s
in
g
Mo
m
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m
s
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v
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d
d
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y
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tem
(
A
DS
)
s
o
f
tw
ar
e
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2
]
.
A
ll
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an
s
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is
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n
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es (
ch
a
r
ac
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te
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s
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e
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3
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1
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Desig
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m
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a
4
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4
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atr
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r
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atch
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n
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n
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s
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t
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s
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to
i
m
p
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e
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etailed
in
[
1
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].
T
h
e
d
is
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ce
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et
w
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h
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2
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n
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n
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u
r
e
4
.
Fin
al
g
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m
etr
y
o
f
t
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e
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r
o
p
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s
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s
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h
ed
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ea
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s
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ar
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n
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n
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at
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T
ab
le
1
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al
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ar
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r
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V
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B
at
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Fig
u
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6
an
d
F
i
g
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r
e
7
illu
s
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te
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d
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te
n
n
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at
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n
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o
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h
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