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C
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p
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A
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:
C
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a
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to
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J
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w
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@
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co
m
1.
I
NT
RO
D
UCT
I
O
N
Dig
ital
i
m
ag
e
[
1
]
is
t
h
e
co
lle
ctio
n
o
f
p
ix
el
s
,
o
u
t
lin
e
s
,
R
G
B
co
lo
r
s
,
an
d
d
o
m
ain
s
to
r
ep
r
esen
t
a
n
y
p
h
y
s
ical
s
u
b
s
tan
ce
s
.
I
t
i
s
a
3
D
o
r
2
D
r
ep
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esen
ta
tio
n
.
Nu
m
b
er
in
ea
ch
p
ix
e
l
d
en
o
tes
t
h
e
i
n
te
n
s
it
y
o
f
illu
m
i
n
atio
n
o
n
an
x
-
y
p
la
n
e.
T
h
e
r
ef
lectio
n
o
f
li
g
h
t
is
d
etec
ted
b
y
h
u
m
a
n
e
y
es,
m
ac
h
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es,
etc.
A
g
r
a
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lev
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g
r
a
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ca
le
d
i
g
ital
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a
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o
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tles
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l
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p
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p
ict
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w
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w
h
o
le
c
o
lo
r
s
ar
e
g
r
a
y
n
es
s
(
d
u
lln
es
s
)
[
2
]
.
I
n
o
th
er
w
o
r
d
s
,
g
r
a
y
m
ea
n
s
t
h
e
R
GB
co
m
b
i
n
atio
n
w
it
h
w
h
o
le
id
en
t
ical
i
n
t
en
s
it
y
.
T
h
e
b
e
n
e
f
it
f
o
r
d
esig
n
ati
n
g
d
i
g
ital
i
m
ag
e
s
f
r
o
m
th
e
ir
au
t
h
en
t
ic
R
GB
co
lo
r
s
is
th
at
s
lig
h
ter
d
ata
to
b
e
co
llected
f
o
r
ea
ch
p
ix
el.
T
h
e
in
ten
s
it
y
ca
n
o
n
l
y
b
e
d
ep
o
s
ited
as
eig
h
t
b
its
r
an
g
in
g
f
r
o
m
ze
r
o
to
2
5
5
p
o
s
s
ib
le
r
ep
r
esen
tatio
n
s
.
Gr
a
y
s
ca
le
i
m
a
g
e
s
[
3
]
ar
e
ess
en
ti
al,
f
o
r
m
an
y
ca
p
t
u
r
e
an
d
d
is
p
la
y
ta
s
k
s
,
t
h
e
y
ar
e
co
m
p
letel
y
ac
ce
p
tab
le,
an
d
it
i
s
u
n
n
ec
es
s
ar
y
to
o
p
t
m
o
r
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co
m
p
lex
co
lo
r
i
m
a
g
es.
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s
p
ec
iall
y
,
a
s
w
e
o
n
l
y
ex
p
e
ct
ap
p
ea
r
an
ce
an
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tr
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r
e
li
k
e
s
h
ap
e
a
n
d
ef
f
e
cts
g
r
a
y
n
ess
is
s
u
b
s
tan
tial
[
4
]
.
On
e
tr
an
s
f
o
r
m
atio
n
o
f
i
m
ag
e
p
r
o
ce
s
s
in
g
i
s
a
co
m
p
r
ess
io
n
i
n
w
h
ic
h
a
f
o
r
eseen
s
ize
o
f
a
u
t
h
en
tic
d
ata
is
c
o
n
d
en
s
ed
.
I
t i
s
b
e
n
ef
icial,
p
ar
t
icu
lar
l
y
f
o
r
a
r
aster
i
m
a
g
e
th
at
p
o
s
s
e
s
s
e
s
a
m
a
s
s
i
v
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ata
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o
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a
n
ag
ea
b
le
tr
an
s
f
er
an
d
s
p
atial
d
o
m
ai
n
[
5
]
.
Fo
r
a
p
r
esen
tatio
n
o
f
i
m
ag
e
c
o
m
p
r
es
s
io
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,
t
h
e
R
GB
co
lo
r
d
ata
w
ill
n
o
t
r
ef
lect
s
o
m
e
c
h
ar
ac
ter
is
tic
s
s
u
c
h
as
li
n
es
o
r
ed
g
es.
T
h
er
e
is
e
x
clu
s
i
v
e
f
o
r
an
ed
g
e
in
s
h
ad
e
t
h
at
i
s
u
n
lik
el
y
d
etec
t
ab
le
in
g
r
a
y
s
lev
e
l
i
m
a
g
es.
Fo
r
v
ar
io
u
s
ap
p
licatio
n
s
,
w
e
d
o
n
o
t
n
ee
d
R
GB
,
as
it
is
co
n
s
id
er
ed
as
r
e
d
u
n
d
an
c
y
o
r
u
n
w
a
n
ted
d
ata
o
r
n
o
is
e
[
6
]
.
T
o
f
in
d
s
ig
n
i
f
ican
t
e
d
g
es
b
ased
o
n
b
o
th
c
h
r
o
m
i
n
a
n
ce
an
d
lu
m
i
n
an
ce
[
7
]
is
ted
io
u
s
as
it
i
s
i
n
f
lex
ib
le
to
co
n
f
ir
m
i
f
t
h
e
r
ed
u
n
d
an
t
R
GB
d
ata
ar
e
n
o
t
co
o
p
er
a
tiv
e
f
o
r
p
o
in
ts
o
f
f
o
cu
s
.
I
n
g
r
a
y
le
v
el
i
m
ag
e
s
,
co
m
p
r
es
s
io
n
al
g
o
r
ith
m
s
ar
e
s
i
m
p
le
to
v
is
u
alize
as
p
r
ef
e
r
en
ce
ca
n
b
e
th
e
2
D
s
p
atial
d
o
m
ai
n
p
lu
s
o
n
e
d
i
m
en
s
io
n
f
o
r
illu
m
i
n
atio
n
t
h
en
t
h
e
y
ca
n
b
e
r
ep
r
esen
ted
b
y
a
3
D
v
is
u
aliza
tio
n
.
I
n
R
GB
,
co
lo
r
s
p
ec
tr
u
m
v
is
u
aliza
t
io
n
i
s
co
m
p
le
x
a
s
t
h
er
e
ar
e
f
u
r
t
h
er
d
i
m
en
s
io
n
s
t
h
a
t
h
u
m
an
e
y
e
s
ca
n
p
er
ce
iv
e
[
8
]
.
W
e
ca
n
co
n
s
id
er
co
lo
r
v
ar
iab
les
to
id
e
n
ti
f
y
i
m
a
g
e
i
n
te
n
s
i
t
y
;
h
o
w
e
v
er
i
t
e
v
en
t
u
all
y
b
r
in
g
s
u
s
b
ac
k
to
a
g
r
a
y
l
ev
el
i
m
a
g
e
in
s
tead
.
W
ith
p
ar
allel
p
r
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s
s
in
g
an
d
h
ig
h
-
s
p
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d
co
m
p
u
ter
s
[
9
]
,
it
is
p
o
ten
tial
to
co
n
v
er
t
co
lo
r
-
to
-
g
r
a
y
s
ca
le
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o
cu
s
in
g
o
n
u
s
e
f
u
l
p
ar
ts
o
f
i
m
a
g
e
s
an
d
ig
n
o
r
in
g
u
n
w
a
n
ted
co
lo
r
v
ar
iab
les.
B
esi
d
es,
th
er
e
ar
e
s
ev
er
al
m
et
h
o
d
s
to
tr
an
s
f
o
r
m
co
lo
r
-
to
-
g
r
a
y
s
ca
le
a
s
p
r
esen
ted
in
[
1
0
]
.
I
n
co
m
p
u
ter
v
i
s
io
n
,
a
co
lo
r
-
to
-
g
r
a
y
s
ca
le
co
n
v
er
s
io
n
b
ased
o
n
g
en
etic
alg
o
r
it
h
m
i
s
p
r
esen
ted
in
[
1
1
]
to
r
etain
th
e
c
h
ar
ac
ter
is
tics
o
f
t
h
e
co
lo
r
i
m
ag
e
s
,
s
u
ch
a
s
li
g
h
tn
e
s
s
an
d
l
u
m
in
o
s
it
y
.
A
g
r
a
y
s
ca
le
co
n
v
er
s
io
n
alg
o
r
i
th
m
b
ased
o
n
m
o
d
u
latio
n
d
o
m
ai
n
i
s
ap
p
lied
to
co
lo
r
i
m
a
g
es
an
d
is
p
r
o
p
o
s
ed
b
y
[
1
2
]
.
T
h
e
g
r
ay
s
ca
le
o
u
tp
u
t
is
d
ev
elo
p
ed
b
y
a
b
len
d
o
f
t
h
r
ee
co
lo
r
s
w
h
er
e
t
h
e
co
m
b
i
n
ati
o
n
co
ef
f
icien
t
s
ar
e
b
ased
o
n
a
q
u
ad
r
atic
p
ar
am
ete
r.
2.
I
M
AG
E
CO
M
P
RE
SS
I
O
N
A
L
G
O
R
I
T
H
M
S
W
ith
t
h
e
i
n
cr
ea
s
i
n
g
d
e
m
an
d
i
n
ap
p
licatio
n
s
o
f
d
ig
ital i
m
a
g
e
,
th
er
e
i
s
a
co
n
s
i
s
te
n
t r
esear
c
h
in
t
h
e
ar
e
a
of
i
m
a
g
e
co
m
p
r
ess
io
n
alg
o
r
it
h
m
s
[
1
3
]
.
T
h
e
in
ten
tio
n
i
s
to
ch
ar
ac
ter
ize
an
o
r
ig
in
a
l
R
GB
i
m
a
g
e
in
t
h
e
lo
w
e
s
t
n
u
m
b
er
o
f
b
its
w
it
h
o
u
t
d
r
o
p
p
in
g
t
h
e
cr
itical
co
n
te
n
t
.
I
m
a
g
e
h
o
ld
s
th
r
ee
b
asic
t
y
p
e
s
o
f
co
n
ten
t
w
it
h
i
n
:
va
lu
e,
non
-
r
ela
tio
n
,
a
n
d
r
ed
u
n
d
a
n
c
y
.
Valu
ab
le
p
ar
t
i
s
t
h
e
i
n
f
o
r
m
atio
n
w
e
n
ee
d
to
d
ef
e
n
d
.
No
n
-
r
elat
io
n
al
p
ar
t
i
s
th
e
ex
tr
a
i
n
f
o
r
m
atio
n
,
w
h
ic
h
is
b
e
y
o
n
d
th
e
s
co
p
e
o
f
i
m
p
li
ca
tio
n
.
R
ed
u
n
d
an
t
p
ar
t
ca
n
b
e
r
eg
en
er
ated
f
r
o
m
o
th
er
co
r
r
esp
o
n
d
in
g
co
n
te
n
ts
[
1
4
]
.
Hu
m
a
n
v
is
io
n
j
u
d
g
es
i
m
a
g
e
a
f
ter
d
ec
o
m
p
r
es
s
io
n
.
T
h
e
tr
an
s
f
er
o
f
co
m
p
r
es
s
ed
i
m
a
g
es
is
af
f
ec
t
ed
b
y
r
ea
l
-
ti
m
e
s
y
s
te
m
[
1
5
]
w
h
ile
th
e
s
p
ac
e
d
o
m
ai
n
p
r
o
b
lem
is
to
ler
an
t
.
T
h
er
e
ar
e
tw
o
m
ain
f
o
r
m
s
o
f
co
m
p
r
es
s
io
n
ap
p
r
o
ac
h
es,
lo
s
s
y
an
d
lo
s
s
les
s
t
y
p
es.
T
h
e
f
o
r
m
er
o
n
e
is
a
co
m
m
o
n
p
r
ac
tice,
in
w
h
ic
h
t
h
e
in
f
o
r
m
atio
n
o
f
a
n
i
n
itial
i
m
a
g
e
w
il
l
p
ar
tl
y
g
et
m
i
s
s
i
n
g
(
d
is
to
r
ted
)
b
u
t
t
h
i
s
ap
p
r
o
ac
h
m
ax
i
m
izes
co
m
p
r
ess
io
n
r
atio
o
n
th
e
o
v
er
h
ea
d
o
f
d
ec
o
m
p
r
ess
io
n
p
r
ec
is
io
n
.
T
h
ese
ap
p
li
ca
tio
n
s
i
n
co
r
p
o
r
ate
th
e
r
e
-
p
r
o
d
u
ctio
n
o
f
a
r
aster
i
m
a
g
e,
an
d
th
e
tr
a
n
s
f
er
o
f
co
m
p
r
es
s
ed
d
ig
ital
i
m
a
g
es
o
n
co
m
m
u
n
icatio
n
n
et
w
o
r
k
s
.
W
h
ile
th
e
latter
o
n
e,
th
e
s
q
u
ee
ze
d
i
m
a
g
e
m
u
s
t
co
n
tain
a
p
r
ec
is
e
m
o
d
el
o
f
th
e
au
t
h
en
tic
i
m
a
g
e.
T
h
eir
ap
p
licatio
n
s
in
cl
u
d
e
b
io
lo
g
ical
d
ata,
e
-
d
o
cu
m
e
n
ts
,
ca
m
er
a
v
i
s
u
aliza
tio
n
,
s
atelli
te
i
m
a
g
es
[
1
6
-
1
8
]
,
an
d
m
ed
ical
ar
ch
i
v
es,
i
n
w
h
ic
h
th
e
d
is
to
r
ted
in
f
o
r
m
a
tio
n
ca
n
lead
to
f
au
l
t a
n
al
y
tic
s
.
2
.1
.
Dis
cr
et
e
co
s
ine t
ra
ns
f
o
r
m
(
DC
T
)
I
t
is
f
o
r
tu
n
a
te
th
at
t
h
e
h
u
m
a
n
v
i
s
io
n
ca
n
r
ei
m
b
u
r
s
e
f
o
r
th
e
m
al
f
o
r
m
at
io
n
in
co
m
p
r
es
s
ed
im
a
g
es,
n
o
t
lik
e
n
u
m
er
ic
o
r
tex
t
d
ata.
DC
T
[
1
9
]
is
o
n
e
o
f
lo
s
s
y
c
o
m
p
r
es
s
io
n
al
g
o
r
ith
m
s
,
w
h
ic
h
co
n
s
u
m
es
as
lo
w
b
an
d
w
id
t
h
as
ex
p
ec
ted
.
A
t
t
h
e
co
m
p
r
es
s
io
n
s
tep
,
t
h
e
q
u
an
ti
za
tio
n
r
eq
u
ir
es
b
it
le
n
g
t
h
f
o
r
in
d
iv
id
u
al
i
m
a
g
e
w
h
ile
le
s
s
e
n
i
n
g
r
ed
u
n
d
an
c
y
.
I
t
m
a
k
es
t
h
is
ap
p
r
o
ac
h
attai
n
h
ig
h
co
m
p
r
es
s
io
n
r
atio
w
i
th
a
tr
ad
e
-
o
f
f
b
et
w
ee
n
th
e
q
u
alit
y
o
f
i
m
a
g
e
a
n
d
t
h
e
b
an
d
w
id
th
r
eq
u
ir
ed
.
R
e
g
ar
d
in
g
ap
p
licatio
n
s
,
a
cr
itica
l
r
a
tio
is
m
a
n
a
g
ea
b
l
e
p
r
o
v
id
ed
th
at
th
e
d
is
to
r
tio
n
is
s
o
m
e
h
o
w
ac
ce
p
tab
le.
T
h
e
8
b
y
8
b
lo
ck
s
D
C
T
o
p
er
atio
n
is
g
en
er
all
y
a
s
s
o
ciate
d
to
d
is
cr
ete
Fo
u
r
ier
tr
an
s
f
o
r
m
(
DFT
)
,
o
r
th
o
g
o
n
all
y
s
ep
ar
ates
th
e
o
r
ig
in
a
l
i
m
a
g
e,
an
d
tr
an
s
f
o
r
m
s
it
f
r
o
m
s
p
atial
to
f
r
eq
u
en
c
y
d
o
m
ai
n
.
B
esid
es,
th
e
t
ec
h
n
iq
u
e
is
an
o
r
i
g
in
o
f
co
m
m
o
n
co
m
p
r
es
s
io
n
lik
e
j
p
g
f
o
r
m
at.
T
h
e
en
co
d
in
g
2
D
(
I
x
J
i
m
a
g
e
)
DC
T
co
m
p
r
ess
io
n
i
s
s
h
o
w
n
i
n
th
e
f
o
llo
w
i
n
g
(
1
)
.
(
,
)
=
√
2
√
2
(
)
(
)
∑
∑
(
,
)
c
os
[
2
(
2
+
1
)
]
c
os
[
2
(
2
+
1
)
]
−
1
=
0
−
1
=
0
(
1
)
Fo
r
u
=
0
,
…,
I
-
1
,
v
=
0
,
…,
J
-
1
,
C
(
d
)
=
1
/
√
2
f
o
r
d
=
0
,
an
d
C
(
d
)
=
1
f
o
r
d
≠
0
(
w
h
er
e
I
=
J
=
8
)
.
T
h
e
(
2
)
s
h
o
w
s
th
e
d
ec
o
d
in
g
2
D
(
I
x
J
i
m
a
g
e)
DC
T
co
m
p
r
ess
io
n
.
(
,
)
=
√
2
√
2
∑
∑
(
)
(
)
(
,
)
c
os
[
2
(
2
+
1
)
]
c
os
[
2
(
2
+
1
)
]
−
1
=
0
−
1
=
0
(
2
)
Fo
r
x
=
0
,
…,
I
-
1
,
y
=
0
,
…,
J
-
1
,
C
(
d
)
=
1
/
√
2
f
o
r
d
=
0
,
an
d
C
(
d
)
=
1
f
o
r
d
≠
0
(
w
h
er
e
I
=
J
=
8
)
.
2
.
2
.
F
a
s
t
f
o
urier
t
r
a
ns
f
o
r
m
(
F
F
T
)
T
h
e
FF
T
[
2
0
]
is
d
er
iv
ed
f
r
o
m
d
is
cr
ete
Fo
u
r
ier
tr
an
s
f
o
r
m
te
ch
n
iq
u
e.
I
t
is
to
a
n
al
y
ze
th
e
n
tr
an
s
f
o
r
m
a
s
p
atial
d
o
m
ai
n
i
n
to
f
r
eq
u
e
n
c
y
d
o
m
ai
n
i
n
i
m
a
g
e
co
m
p
r
es
s
io
n
.
On
ce
i
m
ag
e
s
ar
e
i
n
f
r
eq
u
en
c
y
d
o
m
ai
n
,
th
e
y
ar
e
m
u
c
h
q
u
ick
er
in
p
r
o
ce
s
s
in
g
t
h
an
to
ex
ec
u
te
i
n
t
h
e
s
p
atial
d
o
m
a
in
.
B
ec
a
u
s
e
i
t
is
s
i
m
p
le
to
co
m
p
u
te
f
r
eq
u
en
c
y
(
co
n
v
o
l
u
tio
n
)
e
m
b
e
d
d
ed
in
an
i
m
a
g
e
b
y
s
o
l
v
i
n
g
d
if
f
er
en
tia
l e
q
u
atio
n
s
.
I
n
o
t
h
er
w
o
r
d
s
,
t
h
e
F
FT
ca
n
s
i
m
p
li
f
y
t
h
e
co
m
p
le
x
i
n
ten
s
it
y
co
m
p
u
tatio
n
in
to
s
tr
aig
h
t
f
o
r
w
ar
d
m
u
ltip
lica
tio
n
.
T
h
e
ca
l
cu
latio
n
to
en
co
d
e
th
e
2
D
(
I
x
J
i
m
a
g
e)
tr
an
s
f
o
r
m
atio
n
in
t
h
e
f
r
eq
u
en
c
y
d
o
m
ai
n
is
lis
ted
i
n
(
3
)
.
(
,
)
=
∑
∑
(
,
)
−
2
(
+
)
−
1
=
0
−
1
=
0
(
3
)
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
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
6
0
6
-
6
6
1
7
6608
T
h
e
(
4
)
d
em
o
n
s
tr
ates t
h
e
d
ec
o
d
in
g
2
D
(
I
x
J
i
m
a
g
e)
FF
T
co
m
p
r
e
s
s
io
n
.
(
,
)
=
1
∑
∑
(
,
)
2
(
+
)
−
1
=
0
−
1
=
0
(
4)
2
.
3
.
Sh
if
t
ed
F
F
T
(
SFF
T
)
I
n
g
en
er
al,
t
h
e
ze
r
o
f
r
eq
u
en
c
y
o
f
t
h
e
s
p
ec
tr
u
m
lo
ca
te
s
at
th
e
f
r
o
n
t
a
n
d
b
ac
k
co
m
p
o
n
en
t
,
w
h
ile
th
e
h
ig
h
e
s
t
f
r
eq
u
e
n
c
y
lo
ca
tes
at
th
e
m
id
p
o
in
t.
T
h
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ap
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ch
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p
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[
2
5
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a
r
e
ap
p
lied
.
3
.
1
.
Co
m
pre
s
s
io
n r
a
t
e
(
CR)
T
h
e
C
R
is
to
ca
lcu
late
t
h
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p
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r
f
o
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m
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(
th
e
h
i
g
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e
b
etter
)
.
I
n
lo
s
s
y
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m
p
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,
it
is
to
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m
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ize
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h
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m
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g
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ize
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e
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R
r
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m
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m
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ize
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s
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ed
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s
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m
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g
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r
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m
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ar
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ize
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m
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as
w
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R
f
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icted
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ab
le
1
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ab
le
1
.
T
h
r
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p
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O
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e
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6
0
6
64
9
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4
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1
1
7
7
5
.
9
1
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5
4
1
3
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2
.
6
1
.
6
2
3
.
2
.
Co
l
o
r
m
a
p v
is
ua
liza
t
io
n
T
h
e
m
eth
o
d
e
m
p
lo
y
s
co
lo
r
s
in
th
e
e
n
g
in
ee
r
i
n
g
i
m
a
g
e
v
is
u
ali
za
tio
n
[
2
6
]
.
Sp
ec
iall
y
,
it
p
r
esen
ts
v
i
s
u
a
l
m
ap
th
at
w
e
ca
n
p
er
ce
iv
e
b
y
m
i
x
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g
u
p
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s
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lar
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n
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t.
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ap
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ar
e
ar
r
an
g
ed
b
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er
e
t
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e
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ar
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est p
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tice.
C
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0
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d
2
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5
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al
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s
.
3.
3
.
3
D
f
re
qu
ency
do
m
a
in
A
co
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r
m
ap
ap
p
ea
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an
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o
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o
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lect
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atio
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s
in
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s
(
lu
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s
s
,
i
n
a
3
D
f
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e
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y
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s
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er
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w
h
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h
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g
e
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n
l
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m
in
a
n
ce
,
is
v
ib
r
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t
to
co
m
m
u
n
icate
tr
an
s
f
o
r
m
s
i
n
s
h
ap
e
[
2
7
]
.
I
n
p
r
ac
tice,
w
e
ca
n
av
o
id
g
etti
n
g
th
e
l
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ce
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n
s
i
n
th
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ap
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f
ec
t th
e
s
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ad
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n
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n
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lli
n
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th
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o
lo
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m
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to
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el
y
co
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r
s
.
A
g
r
a
y
s
ca
le
co
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r
m
ap
is
u
s
ef
u
l
f
o
r
h
u
m
an
v
is
io
n
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eg
ar
d
in
g
s
h
ap
e
k
n
o
w
led
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e.
I
t
al
s
o
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ef
lect
s
th
e
i
s
o
lu
m
i
n
a
n
t
co
lo
r
m
ap
w
h
i
ch
i
s
s
u
p
p
o
r
tiv
e
to
co
m
p
r
e
h
e
n
d
in
s
i
g
h
ts
.
T
h
e
l
u
m
in
a
n
ce
m
ap
is
p
er
ce
iv
ed
s
o
ac
cu
r
atel
y
an
d
e
f
f
ec
ti
v
el
y
b
y
h
u
m
a
n
s
.
R
e
s
u
l
ts
o
f
g
r
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y
s
cla
e
co
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r
m
ap
s
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m
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m
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g
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w
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h
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tis
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ec
t
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r
e
d
is
p
lay
ed
in
Fi
g
u
r
e
2
to
Fig
u
r
e
7
(
a
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,
r
esp
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.
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p
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eg
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io
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F
FT
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o
u
tp
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m
s
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t
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ith
m
s
.
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I
SS
N
:
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0
8
8
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8708
I
n
t J
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lec
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m
p
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n
g
,
Vo
l.
10
,
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.
6
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Dec
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-
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7
6610
T
h
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te
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i
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r
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en
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m
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t
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ed
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g
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ap
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ted
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Fi
g
u
r
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2
to
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u
r
e
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,
co
r
r
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r
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also
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s
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n
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al
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m
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p
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m
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lects
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f
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m
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(
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u
r
e
2
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ig
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al
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m
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l i
m
a
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it
h
o
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t e
f
f
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t (
to
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th
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ith
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tto
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g
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b
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q
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o
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ain
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aliz
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f
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
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&
C
o
m
p
E
n
g
I
SS
N:
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8
8
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8708
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6611
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Fig
u
r
e
3
.
R
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f
i
m
a
g
e
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h
m
ar
k
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f
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t
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m
ar
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to
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ith
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ith
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le
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ith
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ig
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m
ai
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ig
h
t)
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d
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FT
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r
ith
m
(
b
o
tto
m
)
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
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
6
0
6
-
6
6
1
7
6612
(
a)
(
b
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Fig
u
r
e
4
.
R
esu
lts
o
f
i
m
a
g
e
w
it
h
g
r
o
w
-
ed
g
e
ef
f
ec
t
,
(
a)
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m
a
g
e
w
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h
g
r
o
w
-
ed
g
e
e
f
f
ec
t
(
to
p
-
le
f
t)
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d
th
r
ee
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lo
r
m
ap
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o
f
D
C
T
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ith
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(
to
p
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r
ig
h
t)
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T
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ith
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b
o
t
to
m
-
lef
t)
,
S
FF
T
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r
ith
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ig
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t)
,
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b
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q
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en
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o
m
ai
n
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s
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al
iz
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f
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C
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m
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f
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T
alg
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r
ith
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r
i
g
h
t)
,
an
d
SF
FT
alg
o
r
ith
m
(
b
o
tto
m
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
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6613
(
a)
(
b
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Fig
u
r
e
5
.
R
esu
l
ts
o
f
i
m
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g
e
w
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h
cu
t
-
o
u
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f
f
ec
t
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m
a
g
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t
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ith
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ith
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ith
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ith
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ith
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o
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m
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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
&
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o
m
p
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n
g
,
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l.
10
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6
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em
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er
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0
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0
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1
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6614
(
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(
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Fig
u
r
e
6
.
R
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o
f
i
m
a
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e
w
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h
p
h
o
to
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e
f
f
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t
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m
ag
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h
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o
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f
ec
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ap
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ith
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ig
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ith
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s
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f
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C
T
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ith
m
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f
t)
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T
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ith
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(
r
i
g
h
t)
,
an
d
SF
FT
alg
o
r
ith
m
(
b
o
tto
m
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
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8
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iya
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ko
o
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(
a)
(
b
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Fig
u
r
e
7
.
R
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lts
o
f
i
m
a
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e
w
it
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f
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m
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ith
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ith
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C
T
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ith
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ith
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ig
h
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FT
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ith
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(
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o
tto
m
)
Evaluation Warning : The document was created with Spire.PDF for Python.