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s
.
I
f
th
e
p
ix
el
i
s
d
e
tecte
d
as
n
o
i
s
y
,
t
h
e
n
it
is
r
es
t
o
r
ed
.
T
o
ef
f
ec
tiv
el
y
r
es
to
r
e
th
e
h
i
g
h
l
y
co
r
r
u
p
ted
i
m
a
g
es,
s
o
m
e
n
o
v
el
s
w
itc
h
i
n
g
-
b
ased
f
ilter
s
h
a
v
e
b
ee
n
p
r
o
p
o
s
ed
s
u
ch
a
s
s
w
itc
h
in
g
m
ed
ian
f
i
lter
w
it
h
b
o
u
n
d
ar
y
d
is
cr
i
m
in
a
tiv
e
n
o
is
e
d
etec
tio
n
B
DND)
[
9
]
,
m
e
d
ian
-
t
y
p
e
n
o
i
s
e
d
etec
to
r
s
an
d
d
etail
-
p
r
eser
v
i
n
g
r
eg
u
lar
izatio
n
[
1
0
]
,
an
d
an
iter
ativ
e
ad
ap
tiv
e
f
u
zz
y
f
il
ter
b
ased
o
n
t
w
o
s
ta
g
es
tec
h
n
iq
u
e
[
1
1
]
an
d
m
a
n
y
o
t
h
er
s
as
[
1
2
]
-
[
1
4
]
.
T
h
e
au
t
h
o
r
s
i
n
[
1
5
]
-
[
1
7
]
p
r
o
p
o
s
ed
a
n
e
w
m
et
h
o
d
b
ased
o
n
t
h
e
v
alu
e
o
f
t
h
e
n
o
is
y
p
i
x
el
a
n
d
t
h
e
p
ix
els
i
n
th
e
test
ed
w
i
n
d
o
w
.
T
h
e
d
r
a
w
b
ac
k
o
f
t
h
ese
f
ilter
s
is
th
at
th
e
y
p
r
o
v
id
e
r
s
to
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ed
i
m
a
g
es
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ith
p
o
o
r
v
is
u
al
q
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y
at
h
i
g
h
n
o
is
e
r
ates.
R
e
ce
n
tl
y
,
m
a
n
y
m
et
h
o
d
s
b
ased
o
n
s
p
ar
e
r
ep
r
ese
n
tatio
n
ar
e
u
s
e
d
in
liter
atu
r
e
as
t
h
e
o
n
es
m
en
t
io
n
ed
i
n
[
1
8
]
-
[
2
1
]
.
Un
f
o
r
tu
n
atel
y
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th
e
s
e
m
eth
o
d
s
i
m
p
r
o
v
e
t
h
e
r
es
u
lts
a
t
h
i
g
h
n
o
is
e
r
ates
b
u
t
at
t
h
e
ex
p
en
s
e
o
f
i
m
a
g
e
d
etai
l
s
o
r
co
m
p
u
tat
io
n
al
co
m
p
lex
it
y
.
I
n
h
i
s
p
ap
er
,
w
e
a
s
s
u
m
e
t
h
at
th
e
f
i
x
ed
v
al
u
ed
I
m
p
u
l
s
e
n
o
is
e
m
a
y
ta
k
e
o
n
e,
t
w
o
,
o
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th
r
ee
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alu
es e
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h
d
if
f
er
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n
t
p
r
o
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b
ilit
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p
r
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b
i
l
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t
w
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t
h
j)
s
(
i
,
p
3
y
p
r
o
b
b
i
l
i
t
w
i
t
h
v3
p
2
y
p
r
o
b
b
i
l
i
t
w
i
t
h
v2
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1
y
p
r
o
b
b
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l
i
t
w
i
t
h
v1
j)
x
(
i
,
(
2
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h
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e
,
p
1
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p
2
+
p
3
=
p
.
I
f
th
e
im
ag
e
i
s
co
r
r
u
p
ted
o
n
ly
b
y
o
n
e
v
alu
e,
th
e
n
let
p2=
p3
=
0
.
I
f
th
e
i
m
ag
e
is
co
r
r
u
p
ted
b
y
t
w
o
v
al
u
es
ea
c
h
w
it
h
p
r
o
b
ab
ilit
y
o
f
50%
,
th
e
n
let
p3
=
0
.
T
h
u
s
,
a
n
e
w
tec
h
n
iq
u
e
i
s
u
s
e
d
in
t
h
i
s
p
ap
er
f
o
r
d
etec
tin
g
t
h
e
n
o
is
y
p
i
x
el
b
a
s
ed
o
n
t
h
e
p
r
o
b
ab
ilit
y
o
f
e
x
i
s
te
n
ce
o
f
t
h
e
test
ed
p
i
x
el.
Mo
r
e
s
p
ec
if
ical
l
y
,
w
e
s
h
o
u
ld
f
i
n
d
t
h
e
p
r
o
b
ab
ilit
y
o
f
ex
is
ten
ce
o
f
t
h
e
te
s
ted
p
ix
el
i
n
o
r
d
er
to
b
e
d
etec
ted
as
o
r
ig
i
n
al
o
r
n
o
i
s
y
p
ix
el.
An
y
p
i
x
el
i
s
d
etec
ted
as
n
o
is
y
p
i
x
el
i
f
its
p
r
o
b
ab
ilit
y
o
f
ex
i
s
te
n
ce
is
m
o
r
e
th
a
n
a
s
p
ec
if
ic
t
h
r
es
h
o
ld
.
T
h
e
p
r
o
p
o
s
ed
id
ea
is
u
n
iq
u
e
an
d
d
eli
v
er
s
s
u
p
er
io
r
an
d
a
n
o
u
t
s
ta
n
d
in
g
r
es
u
lt
s
a
s
s
h
o
w
n
i
n
t
h
e
f
o
llo
w
i
n
g
s
ec
tio
n
s
.
T
h
e
ad
o
p
ted
id
ea
d
o
es
n
o
t
d
ep
en
d
o
n
t
h
e
s
u
r
r
o
u
n
d
in
g
p
ix
el
s
i
f
t
h
e
y
ar
e
o
r
ig
i
n
al
o
r
n
o
t,
an
d
d
o
es
n
o
t
d
ep
en
d
o
n
th
e
m
ea
n
,
m
ed
ia
n
,
o
r
an
y
o
th
er
p
ar
a
m
eter
f
o
r
th
e
i
m
ag
e.
I
t
d
ep
en
d
s
o
n
i
n
d
ep
en
d
en
t
f
ac
to
r
w
h
ic
h
d
eter
m
in
e
s
th
e
p
r
ese
n
ce
o
f
an
y
v
al
u
e
i
n
th
e
i
m
a
g
e.
2.
RE
S
E
ARCH
M
E
T
H
O
D
T
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
i
s
d
i
v
id
ed
in
to
t
w
o
p
ar
ts
th
e
f
ir
s
t
p
a
r
t
ex
p
lai
n
s
th
e
d
etec
tio
n
p
r
o
ce
s
s
a
n
d
t
h
e
s
ec
o
n
d
p
ar
t d
em
o
n
s
tr
ates t
h
e
r
ec
o
v
er
y
p
r
o
ce
s
s
as s
h
o
w
n
b
el
o
w
.
2
.
1
.
Det
ec
t
io
n pro
ce
s
s
Fro
m
th
e
liter
at
u
r
e,
it
is
clea
r
th
at
m
an
y
o
f
th
e
r
esear
ch
er
s
m
ak
e
u
s
e
th
e
co
r
r
elatio
n
b
et
w
ee
n
th
e
p
ix
els
i
n
th
e
f
ilter
i
n
g
w
i
n
d
o
w
to
d
etec
t
th
e
n
o
is
y
p
ix
el
s
.
I
n
th
is
p
ap
er
,
a
n
e
w
p
r
in
c
ip
le
b
ased
o
n
th
e
p
r
o
b
a
b
ilit
y
o
f
ex
i
s
te
n
ce
is
p
r
o
p
o
s
ed
in
th
e
d
etec
tio
n
p
r
o
ce
s
s
.
I
n
th
e
s
en
s
e
th
at,
t
h
e
r
ep
etitio
n
s
o
f
ea
ch
p
ix
el
i
n
th
e
i
m
ag
e
is
ca
lc
u
lated
,
to
h
el
p
j
u
d
g
in
g
w
h
et
h
er
t
h
e
test
ed
p
ix
el
is
a
n
o
r
ig
i
n
al
p
i
x
el
o
r
n
o
t.
T
o
th
is
en
d
,
w
e
g
ath
er
a
ll
t
h
e
p
ix
el
s
t
h
at
h
av
e
eq
u
al
v
al
u
e
s
i
n
s
ep
ar
ated
g
r
o
u
p
s
.
T
h
e
n
u
m
b
er
o
f
t
h
e
p
i
x
els
i
n
ea
ch
g
r
o
u
p
i
s
t
h
e
f
i
g
u
r
e
th
at
w
e
s
ee
k
f
o
r
.
T
o
illu
s
tr
ate
th
e
d
etec
tio
n
p
r
o
ce
s
s
,
let
X
d
en
o
tes
to
a
n
o
is
y
i
m
a
g
e
o
f
m
×
l
s
ize.
T
h
e
p
ix
els
th
a
t
h
av
e
d
en
s
it
y
v
alu
e
s
eq
u
al
to
v
i
ar
e
co
llected
i
n
a
s
ep
ar
ate
g
r
o
u
p
g
i
,
i
=
1
:
K
,
w
h
e
r
e
K
i
s
t
h
e
n
u
m
b
er
o
f
th
e
g
r
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u
p
s
.
T
h
e
n
u
m
b
er
o
f
t
h
e
p
ix
el
s
in
t
h
e
g
r
o
u
p
g
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is
d
en
o
ted
b
y
n
i
.
T
h
u
s
,
t
h
e
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r
o
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in
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as:
]
[
ni
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i
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3
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(
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T
w
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s
f
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(
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ar
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;
m
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V
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T
h
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r
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e
m
atr
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V
a
n
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d
escr
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as:
]
[
K
3
2
1
v
.....
v
v
v
V
(
4)
]
[
K
3
2
1
n
.....
n
n
n
n
(
5
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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h
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1
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r
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6
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Ma
tr
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P
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at
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o
r
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m
ag
e
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s
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ef
i
n
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as:
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K
3
2
1
p
.....
p
p
p
P
(
7
)
Def
i
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e
a
n
e
w
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e
all
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e
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ies th
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e
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m
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n
co
n
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d
e
t
h
a
t:
P
1
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1
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p
M
1
i
i
p
1
P
(
9
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W
h
er
e
P
r
ep
r
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ts
t
h
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m
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s
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m
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le
o
f
24
i
m
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e
s
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th
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n
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g
i
n
al
i
m
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e
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ce
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an
4%
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T
h
at
m
ea
n
s
,
w
e
co
u
l
d
n
o
t f
in
d
a
p
ix
e
l in
a
n
y
o
r
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g
in
al
i
m
a
g
e
w
it
h
p
r
o
b
ab
ilit
y
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f
ex
is
te
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ce
eq
u
al
to
o
r
m
o
r
e
th
a
n
4%
.
I
t
is
clea
r
f
r
o
m
Fi
g
u
r
e
1
an
d
T
ab
le
1
,
f
o
r
L
e
n
a
i
m
ag
e,
t
h
e
p
i
x
el
o
f
th
e
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alu
e
224
h
as
t
h
e
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ax
i
m
u
m
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b
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ilit
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e
x
i
s
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en
ce
eq
u
al
to
1
.
5
%
.
T
h
u
s
,
th
e
p
ix
el
i
n
t
h
e
n
o
i
s
y
i
m
a
g
e
t
h
at
h
as
p
r
o
b
ab
ilit
y
o
f
ex
is
te
n
ce
p
r
m
o
r
e
th
a
n
p
th
i
s
c
o
n
s
id
er
ed
n
o
is
y
p
ix
e
l,
as
d
esc
r
ib
ed
in
Fi
g
u
r
e
2
.
C
o
n
s
eq
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e
n
t
l
y
,
i
f
p
r
>
p
th
,
t
h
e
n
th
e
p
ix
el
v
al
u
e
v
r
at
p
o
s
itio
n
r
in
m
a
tr
ix
V
is
d
ee
m
ed
n
o
is
y
p
i
x
el
as:
v
l
u
e
n
o
i
sy
is
r
v
t
h
e
n
th
p
m
l
r
n
r
p
if
(
1
4
)
A
t
t
h
e
en
d
,
th
e
v
al
u
e
v
r
is
f
la
g
g
ed
as
1
in
th
e
co
r
r
esp
o
n
d
in
g
p
o
s
itio
n
in
an
i
m
a
g
e
F
o
f
z
ero
ele
m
en
t
s
.
As
an
ex
a
m
p
le,
n
o
i
s
y
i
m
ag
e
co
r
r
u
p
ted
w
it
h
80%
s
alt
a
n
d
p
ep
p
er
n
o
is
e
r
ate
h
a
s
t
w
o
n
o
i
s
y
p
i
x
els
ea
ch
h
a
s
p
r
o
b
a
b
ilit
y
o
f
ex
is
ten
ce
pr
=
4
0
%
w
h
ic
h
is
m
o
r
e
th
a
n
p
th
.
T
h
u
s
,
w
e
h
a
v
e
o
n
l
y
t
w
o
v
alu
es,
i.e
.
,
M=2
,
th
at
s
atis
f
y
t
h
e
co
n
d
itio
n
in
(
1
4
)
.
Du
r
in
g
t
h
is
p
ap
er
,
w
e
co
n
s
id
er
p
th
=
5
%
w
h
ic
h
is
le
s
s
t
h
an
1
/M
,
as
in
d
icate
d
in
1
3
as:
2
1
%
5
2
ra
t
e
n
o
i
se
P
r
(
1
5
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
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&
C
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m
p
E
n
g
I
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N:
2
0
8
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R
emo
va
l
of
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ixed
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V
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lu
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mp
u
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e
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b
a
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P
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o
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a
b
ilit
y
o
f E
xist
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ce
o
f th
e
I
ma
g
e
P
i
xe
l
(
A
li A
w
a
d
)
2109
T
h
e
f
o
llo
w
i
n
g
e
x
a
m
p
le
r
ep
r
esen
ts
t
h
e
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r
o
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ilit
y
o
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ce
f
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r
ig
in
al
a
n
d
n
o
is
y
v
al
u
e
s
,
let
P
an
d
V
as:
P=
[
0
.
0
3
0
.
0
3
0
.
0
2
0
.
0
2
0
.
4
0
.
0
3
0
.
0
3
0
.
0
2
0
.
0
2
0
.
4
]
V
=
[
1
0
2
0
3
0
4
0
5
1
6
1
6
0
4
0
1
1
1
2
5
5
]
T
h
en
,
it is
clea
r
th
at
P
5
=
4
0
%
,
P
10
=
4
0
%
,
an
d
p
r
o
b
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ilit
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r
ig
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l v
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s
2
.
0
8
.
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1
P
o
r
20%
.
Fig
u
r
e
1
.
I
llu
s
tr
ates t
h
e
r
ep
lica
tio
n
o
f
ea
ch
p
i
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i
n
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e
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a
i
m
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g
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T
ab
le
1
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x
i
m
u
m
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r
o
b
ab
ilit
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E
x
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te
n
ce
in
d
i
f
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er
en
t
k
n
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w
n
I
m
a
g
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I
mag
e
(
v
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l
u
e
)
r
a
t
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o
%
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e
(
v
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l
u
e
)
r
a
t
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mag
e
(
v
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e
)
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o
%
L
e
n
a
(
2
2
4
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a
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5
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1
T
r
u
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k
(
1
2
9
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2
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3
5
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e
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8
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0
.
8
7
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o
n
(
1
3
4
)
1
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5
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n
k
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9
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p
e
r
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9
)
1
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i
r
p
l
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n
e
(
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)
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.
0
6
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e
a
r
(
0
)
3
.
0
5
B
o
o
t
(
1
4
7
)
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0
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a
i
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1
3
3
)
0
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9
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p
e
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a
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9
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t
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g
o
n
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0
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1
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1
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u
n
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5
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)
1
.
4
2
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a
p
e
r
mac
h
i
n
e
(
2
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6
)
2
.
3
6
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n
s
t
e
i
n
(
4
4
2
.
4
2
W
a
t
e
r
(
1
0
6
)
1
.
4
1
C
o
u
p
l
e
(
3
)
3
.
3
8
W
a
t
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h
(
2
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3
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7
B
r
a
n
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y
r
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se
(
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)
2
.
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8
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a
t
e
r
f
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l
l
(
1
1
7
)
2
.
0
4
Fig
u
r
e
2
.
I
llu
s
tr
ates t
h
e
b
lo
ck
d
iag
r
a
m
o
f
t
h
e
p
r
o
p
o
s
ed
d
etec
tio
n
tech
n
iq
u
e
2
.
2
.
Rest
o
ra
t
io
n pro
ce
s
s
A
p
ix
el
x
ij
f
lag
g
ed
as
f
ij
=
1
in
F
i
s
r
ep
lace
d
b
y
t
h
e
m
ed
ia
n
v
al
u
e
o
f
it
s
n
ei
g
h
b
o
r
in
g
p
i
x
e
ls
Y
ij
.
An
y
p
ix
el
d
etec
ted
as
n
o
is
y
p
ix
el
an
d
b
elo
n
g
to
Y
ij
is
e
x
cl
u
d
ed
an
d
th
e
m
ed
ia
n
is
tak
e
n
f
o
r
t
h
e
r
est
g
o
o
d
p
ix
els.
T
h
is
p
r
o
ce
s
s
is
i
m
p
le
m
e
n
ted
r
ec
u
r
s
i
v
el
y
,
i
n
t
h
e
s
e
n
s
e
t
h
at
t
h
e
cu
r
r
en
t
r
esto
r
ed
p
ix
el
is
u
s
e
d
in
th
e
r
esto
r
atio
n
o
f
th
e
n
e
x
t
n
o
is
y
p
ix
el
in
th
e
s
u
b
s
eq
u
e
n
t
w
i
n
d
o
w
s
.
A
s
m
a
ll
w
i
n
d
o
w
W
o
f
3
×
3
s
ize
i
s
en
o
u
g
h
to
b
e
u
s
ed
i
n
t
h
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
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&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
4
,
A
u
g
u
s
t 2
0
1
8
:
2
1
0
6
–
2
1
1
4
2110
r
esto
r
atio
n
p
r
o
ce
s
s
,
b
u
t
i
n
t
h
e
ca
s
e
o
f
h
ea
v
il
y
co
r
r
u
p
ted
i
m
ag
e,
n
o
is
e
r
ate
>
70%
,
a
w
in
d
o
w
o
f
5
×
5
s
ize
o
r
m
o
r
e
i
s
u
s
ed
.
T
h
e
n
eig
h
b
o
r
in
g
p
ix
els
Y
ij
an
d
t
h
e
r
esto
r
ed
v
er
s
io
n
x
ij
,
rest
o
f
th
e
n
o
is
y
p
ix
e
l
x
ij
ar
e
d
ef
in
ed
as:
)
ij
Y
(
m
e
d
i
a
n
r
e
s
t
,
ij
x
}
W
t
,
s
|
t
j
,
s
i
f
t
j
,
s
i
x
{
ij
Y
(
1
6
)
T
h
e
n
e
w
m
et
h
o
d
h
a
s
th
e
ab
il
it
y
to
d
etec
t
t
h
e
n
o
i
s
y
p
i
x
el
w
it
h
ze
r
o
er
r
o
r
in
lar
g
e
n
u
m
b
er
o
f
i
m
a
g
es.
T
h
u
s
,
m
o
r
e
p
o
w
er
f
u
l
r
esto
r
atio
n
p
r
o
ce
s
s
i
n
cr
ea
s
es
t
h
e
p
er
f
o
r
m
a
n
c
e
o
f
th
e
p
r
o
p
o
s
ed
m
et
h
o
d
an
d
th
e
v
i
s
u
a
l
q
u
alit
y
o
f
th
e
r
ec
o
v
er
ed
i
m
a
g
es.
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
T
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
is
c
o
m
p
ar
ed
w
ith
d
i
f
f
er
en
t
k
n
o
w
n
m
e
th
o
d
s
i
n
ter
m
s
o
f
v
i
s
u
al
q
u
alit
y
,
p
r
o
ce
s
s
in
g
t
i
m
e,
a
n
d
p
ea
k
s
i
g
n
al
to
n
o
is
e
r
atio
,
P
SNR
.
No
t
e
th
at
th
e
v
al
u
es
o
f
P
SNR
d
em
o
n
s
tr
ate
th
e
d
eg
r
ee
of
s
a
m
e
n
es
s
o
r
clo
s
en
ess
b
et
w
ee
n
th
e
r
esto
r
ed
v
alu
e
s
an
d
th
e
o
r
ig
in
al
o
n
e
s
.
T
ested
im
ag
es
ar
e
co
r
r
u
p
ted
ar
tif
iciall
y
w
it
h
d
if
f
er
e
n
t
n
o
is
y
v
al
u
es.
T
h
e
y
ar
e
co
r
r
u
p
ted
eith
er
w
it
h
o
n
e,
t
w
o
,
o
r
th
r
ee
n
o
is
y
v
al
u
es
b
ased
on
th
e
M
A
T
L
A
B
"
im
n
o
i
s
e"
c
o
m
m
a
n
d
.
T
h
e
s
tr
en
g
t
h
o
f
th
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
is
s
h
o
wm
clea
r
ly
t
h
r
o
u
g
h
its
p
er
f
o
r
m
a
n
ce
at
h
i
g
h
n
o
is
e
r
ate
s
.
Mo
s
t
o
f
th
e
k
n
o
w
n
m
et
h
o
d
s
p
er
f
o
r
m
w
ell
at
lo
w
n
o
is
e
r
at
es,
b
u
t
th
e
p
r
o
b
lem
w
h
e
n
th
e
n
o
is
e
r
ate
b
ec
o
m
e
s
>
4
0
%.
I
n
th
is
ca
s
e,
m
a
n
y
o
f
th
e
w
ell
-
k
n
o
w
n
m
et
h
o
d
s
d
etec
t
w
r
o
n
g
l
y
t
h
e
tr
u
e
p
ix
els.
T
h
er
ef
o
r
e,
m
ai
n
tai
n
in
g
th
e
f
i
n
e
i
m
a
g
e
d
etail
s
w
h
ile
d
etec
tin
g
t
h
e
n
o
is
y
p
i
x
els
is
a
c
h
alle
n
g
e
tas
k
.
T
h
e
ad
v
an
ta
g
e
o
f
t
h
e
ad
o
p
ted
alg
o
r
ith
m
is
t
h
at
it
d
ep
en
d
s
o
n
a
n
o
v
e
l
a
n
d
u
n
iq
u
e
f
ea
t
u
r
e
e
x
p
lo
r
ed
d
u
r
in
g
t
h
i
s
r
esear
ch
.
T
h
is
f
ea
t
u
r
e
d
en
o
tes
th
at
t
h
e
s
tr
u
c
tu
r
e
an
d
t
h
e
v
ie
w
o
f
a
n
y
r
ea
l
i
m
a
g
e
s
h
o
u
ld
h
av
e
p
ix
el
s
its
v
alu
e
s
f
l
u
ctu
a
te
r
eg
u
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ates
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ter
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3
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ates.
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4
.
7
1
2
3
.
0
6
2
1
.
0
8
1
8
.
3
8
1
5
.
4
8
1
2
.
1
3
8
.
3
0
P
W
M
A
D
[
8
]
2
8
.
9
0
2
4
.
0
5
1
9
.
0
6
1
5
.
3
8
1
2
.
7
0
1
0
.
6
3
8
.
9
4
7
.
4
8
6
.
2
4
T
S
M
[
5
]
2
0
.
9
2
1
9
.
9
5
1
7
.
5
0
1
4
.
7
6
1
2
.
1
8
9
.
9
9
8
.
2
3
6
.
8
5
5
.
8
4
M
S
M
[
7
]
2
8
.
3
6
2
6
.
2
0
2
3
.
0
1
1
8
.
8
4
1
5
.
4
3
1
2
.
2
6
9
.
7
0
7
.
7
0
6
.
3
1
N
EW
3
4
.
8
1
3
1
.
7
4
2
9
.
7
6
2
8
.
2
1
2
6
.
8
1
2
5
.
4
5
2
3
.
9
7
2
2
.
2
5
1
9
.
9
7
T
ab
le
4.
C
o
m
p
ar
is
o
n
f
o
r
R
est
o
r
in
g
C
o
r
r
u
p
ted
B
ab
b
o
n
I
m
a
g
e
w
it
h
0
an
d
255
in
T
er
m
s
o
f
P
SNR
(
d
B
)
M
e
t
h
o
d
/
n
o
i
se
r
a
t
e
1
0
%
2
0
%
3
0
%
4
0
%
5
0
%
6
0
%
7
0
%
8
0
%
9
0
%
P
S
M
[
6
]
2
4
.
1
7
2
3
.
2
5
2
2
.
4
6
2
1
.
6
7
2
0
.
7
2
1
9
.
6
9
1
8
.
2
3
1
6
.
2
1
1
1
.
8
8
A
C
W
M
F
[
4
]
2
3
.
7
3
2
3
.
0
8
2
2
.
3
2
2
1
.
3
9
1
9
.
8
6
1
7
.
8
6
1
5
.
1
4
1
1
.
9
7
8
.
5
8
P
W
M
A
D
[
8
]
2
5
.
6
9
2
1
.
9
6
1
7
.
9
1
1
4
.
7
9
1
2
.
3
1
1
0
.
4
3
8
.
7
6
7
.
4
0
6
.
1
7
T
S
M
[
5
]
1
9
.
7
2
1
8
.
8
3
1
6
.
7
4
1
4
.
2
3
1
1
.
8
3
9
.
8
1
8
.
1
6
6
.
8
2
5
.
8
1
M
S
M
[
7
]
2
4
.
5
2
2
3
.
2
4
2
1
.
1
0
1
8
.
1
4
1
4
.
9
3
1
2
.
0
9
9
.
7
4
7
.
6
5
6
.
2
8
N
EW
3
2
.
1
6
2
9
.
1
0
2
7
.
1
5
2
5
.
7
4
2
4
.
5
0
2
3
.
4
0
2
2
.
3
5
2
1
.
2
0
1
9
.
8
6
T
ab
le
5
.
C
o
m
p
ar
is
o
n
f
o
r
R
est
o
r
in
g
C
o
r
r
u
p
ted
L
e
n
a
I
m
a
g
e
w
it
h
20
an
d
2
0
0
in
T
e
r
m
s
o
f
P
SNR
(
d
B
)
M
e
t
h
o
d
/
n
o
i
se
r
a
t
e
1
0
%
2
0
%
3
0
%
4
0
%
5
0
%
6
0
%
7
0
%
8
0
%
9
0
%
P
S
M
[
6
]
3
3
.
1
6
3
0
.
2
7
2
8
.
1
8
2
6
.
3
9
2
4
.
1
0
2
2
.
2
9
1
9
.
8
9
1
6
.
9
3
1
3
.
0
8
A
C
W
M
F
[
4
]
3
6
.
5
2
3
3
.
6
9
3
0
.
3
9
2
6
.
6
8
2
3
.
0
6
1
9
.
9
7
1
6
.
8
1
1
3
.
2
5
9
.
7
9
P
W
M
A
D
[
8
]
3
6
.
6
6
2
8
.
9
6
2
2
.
3
8
1
8
.
0
2
1
4
.
9
2
1
2
.
2
8
1
0
.
2
6
8
.
6
5
7
.
2
7
T
S
M
[
5
]
2
5
.
5
5
2
3
.
3
9
1
9
.
7
0
1
6
.
1
9
1
3
.
4
4
1
1
.
2
2
9
.
4
6
8
.
0
7
6
.
9
8
M
S
M
[
7
]
3
6
.
5
3
3
1
.
4
8
2
5
.
4
0
2
0
.
5
0
1
6
.
9
5
1
3
.
5
1
1
1
.
0
0
8
.
9
4
7
.
3
4
N
EW
4
2
.
7
7
3
9
.
4
7
3
7
.
2
7
3
5
.
3
9
3
3
.
5
5
3
1
.
7
9
3
0
.
5
4
2
9
.
3
2
2
6
.
9
0
Fig
u
r
e
3
.
C
o
m
p
ar
is
o
n
b
et
w
ee
n
ex
i
s
ti
n
g
m
et
h
o
d
s
an
d
th
e
p
r
o
p
o
s
ed
o
n
e
f
o
r
r
esto
r
in
g
s
alt
a
n
d
p
ep
p
er
n
o
is
e
[
0
,
2
5
5
]
co
r
r
u
p
ted
L
en
a
i
m
a
g
e
s
: (
a)
Ne
w
(
b
)
AC
W
M
(
c)
P
S
M
(
d
)
co
r
r
u
p
ted
L
en
a
i
m
a
g
e
s
.
1
st
,
2
nd
,
an
d
3
rd
i
m
a
g
es i
n
r
o
w
(
d
)
ar
e
co
r
r
u
p
te
d
b
y
9
0
%,
70,
an
d
5
0
% n
o
is
e
r
at
es,
r
esp
ec
tiv
el
y
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.
8
,
No
.
4
,
A
u
g
u
s
t 2
0
1
8
:
2
1
0
6
–
2
1
1
4
2112
Fig
u
r
e
4
.
C
o
m
p
ar
is
o
n
b
et
w
ee
n
ex
i
s
ti
n
g
m
et
h
o
d
s
an
d
th
e
p
r
o
p
o
s
ed
o
n
e
f
o
r
r
esto
r
in
g
6
0
% salt an
d
p
ep
p
er
n
o
is
e
[
0
,
2
5
5
]
c
o
r
r
u
p
ted
th
r
ee
d
if
f
er
n
t i
m
ag
e
s
.
C
o
r
r
u
p
ted
i
m
ag
es: (
a)
Ne
w
(
b
)
A
C
W
M
(
c)
P
SM
(
d
)
co
r
r
u
p
ted
b
o
at,
b
r
id
g
e,
an
d
b
ab
o
o
n
im
a
g
es
Fig
u
r
e
5
ill
u
s
tr
ate
s
t
h
e
p
er
f
o
r
m
an
ce
o
f
t
h
e
p
r
o
p
o
s
ed
m
et
h
o
d
in
th
e
r
esto
r
atio
n
o
f
6
0
%
co
r
r
u
p
ted
p
ep
p
er
im
a
g
es
eit
h
er
b
y
o
n
e,
t
w
o
o
r
th
r
ee
n
o
is
y
v
a
lu
e
s
.
I
t
is
clea
r
th
at
th
e
p
r
o
p
o
s
ed
m
et
h
o
d
s
h
o
w
s
s
u
p
er
io
r
p
er
f
o
r
m
a
n
ce
t
h
a
n
t
h
e
o
th
er
s
,
p
ar
ticu
lar
l
y
at
7
0
%
a
n
d
9
0
%
n
o
is
e
r
ates.
I
t
i
s
also
clea
r
t
h
a
t
th
er
e
ar
e
r
esid
u
a
l
n
o
is
e
a
n
d
b
lu
r
in
t
h
e
r
esto
r
ed
i
m
a
g
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tak
e
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e
o
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et
h
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eo
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er
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ca
n
n
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te
t
h
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th
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in
cr
e
m
e
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i
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th
e
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o
is
y
p
ix
el
s
d
o
es
n
o
t
af
f
ec
t
t
h
e
p
er
f
o
r
m
a
n
ce
o
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th
e
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p
o
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ed
m
eth
o
d
.
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h
e
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n
l
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i
n
g
th
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t
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k
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er
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o
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a
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h
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f
icien
c
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o
f
th
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esto
r
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p
r
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s
in
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ep
lacin
g
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is
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ix
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b
y
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esti
m
ate
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v
alu
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h
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n
t
h
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r
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s
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it
is
r
ec
o
m
m
e
n
d
ed
to
u
s
e
a
w
id
er
f
ilter
i
n
g
w
i
n
d
o
w
at
h
i
g
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n
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is
e
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ates
t
o
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ak
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s
u
r
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t
h
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h
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ilter
i
n
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g
h
n
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m
b
er
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f
o
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in
al
o
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alr
ea
d
y
r
esto
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ed
p
ix
els
f
o
r
w
e
ll
-
es
ti
m
ate
th
e
n
o
i
s
y
p
ix
el.
T
ab
le
6
s
h
o
w
s
th
e
p
er
f
o
r
m
a
n
ce
o
f
th
e
n
e
w
f
ilter
in
r
es
to
r
in
g
L
e
n
a
i
m
a
g
e
co
r
r
u
p
ted
w
it
h
o
n
e
n
o
is
y
v
al
ue
(
3
0
)
at
d
if
f
er
en
t
n
o
is
y
r
ates
.
T
ab
le
7
illu
s
tr
ates
t
h
e
p
er
f
o
r
m
a
n
ce
o
f
d
if
f
er
en
t
m
et
h
o
d
s
in
r
esto
r
in
g
lin
a
i
m
ag
e
co
r
r
u
p
ted
w
it
h
th
r
ee
n
o
i
s
y
v
a
lu
e
s
0
,
2
5
5
,
an
d
3
0
w
it
h
r
ates
o
f
5
0
%,
2
5
%
an
d
2
5
%,
r
esp
ec
tiv
el
y
.
I
t
is
clea
r
th
at
th
e
p
r
o
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o
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ed
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et
h
o
d
is
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ex
tr
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r
d
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ar
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r
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h
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ter
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s
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f
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R
,
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d
p
ar
ticu
lar
l
y
at
h
i
g
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n
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is
e
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tes.
T
h
e
o
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er
k
n
o
w
n
m
e
th
o
d
s
h
av
e
d
if
f
icu
lt
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d
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t
th
e
n
o
is
y
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ix
el
s
,
m
o
s
tl
y
at
h
i
g
h
l
y
co
r
r
u
p
ted
i
m
a
g
es.
T
h
e
r
ea
s
o
n
is
t
h
at
th
e
o
th
er
m
et
h
o
d
s
al
m
o
s
t
d
ep
en
d
o
n
t
h
r
esh
o
ld
v
al
u
es
b
ased
o
n
d
if
f
er
en
t
p
ar
am
eter
s
s
u
ch
a
s
m
ea
n
,
m
e
d
ian
,
o
r
s
tan
d
ar
d
d
ev
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n
o
f
th
e
s
u
r
r
o
u
n
d
i
n
g
p
ix
el
s
.
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h
es
e
p
ar
am
eter
s
al
m
o
s
t
p
r
o
v
id
e
in
ac
cu
r
ate
v
a
lu
e
s
w
h
e
n
m
o
s
t
o
f
t
h
e
s
u
r
r
o
u
n
d
i
n
g
p
i
x
els
ar
e
n
o
is
y
.
Fi
g
u
r
e
6
d
ep
icts
th
e
co
n
s
u
m
ed
ti
m
e
tak
en
b
y
t
h
e
P
SM,
AC
W
MF,
an
d
t
h
e
p
r
o
p
o
s
ed
o
n
e
in
r
est
o
r
in
g
p
ep
p
er
i
m
a
g
e
at
d
i
f
f
er
en
t
n
o
is
e
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ates.
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t
i
s
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r
th
at,
th
e
n
e
w
m
eth
o
d
o
u
tp
er
f
o
r
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s
t
h
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er
s
i
n
ter
m
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h
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s
s
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n
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t
i
m
e
in
s
ec
o
n
d
s
.
T
h
u
s
,
th
e
p
r
o
p
o
s
ed
f
ilter
is
s
i
m
p
le,
co
n
v
er
g
es
v
er
y
f
as
t,
an
d
d
eliv
er
s
s
u
p
er
io
r
r
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lt
s
.
M
A
T
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p
r
o
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a
m
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e
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s
ed
in
all
th
e
s
i
m
u
lated
ex
p
er
i
m
e
n
ts
.
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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I
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S
[1
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N
.
C
.
Ga
ll
a
g
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a
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.
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.
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is
e
,
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]
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2
[3
]
L
.
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,
e
t
a
l.
,
“
Weig
h
ted
m
e
d
ian
f
il
ters
:
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tu
to
r
ial
,”
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E
T
ra
n
s.
Circ
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s
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st
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,
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.
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p
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ian
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,
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tt
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.
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]
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.
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,
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,
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d
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g
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,
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it
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II
.
,
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.
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d
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,
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n
s.
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.
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[8
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.
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,
“
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[9
]
P.
E.
Ng
a
n
d
K.
K.
M
a
,
“
A
s
w
i
tch
in
g
m
e
d
ian
f
il
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it
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ry
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m
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f
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tre
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y
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te
d
im
a
g
e
s,”
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T
ra
n
s.
I
ma
g
e
Pro
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e
ss
,
v
o
l
.
15
,
n
o
.
6
,
p
p
.
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5
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0
0
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0
]
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.
H.
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n
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e
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l.
,
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lt
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p
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l
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rv
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ti
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,
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E
T
ra
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s.
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e
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e
ss
,
v
o
l
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1
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o
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,
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0
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.
[1
1
]
F
A
h
m
e
d
a
n
d
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w
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g
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ta
m
,
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Re
m
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sity
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tera
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y
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ter Usin
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lp
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m
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e
d
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a
n
,”
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E
T
ra
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[1
2
]
S
.
W
.
Ja
n
g
a
n
d
M
.
Ju
n
g
,
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b
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st
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e
tec
ti
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o
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m
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ic
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io
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s
in
v
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g
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a
ta,
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.
[1
3
]
X
.
Qi,
e
t
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l
.
,
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sity
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lt
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se
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p
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m
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th
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p
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ra
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ter,
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.
Vi
s.
Co
mm
.
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g
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Rep
re
se
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t
,
v
o
l.
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p
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,
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0
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6
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[1
4
]
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l.
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t.
J
.
El
e
c
tro
n
.
C
o
mm
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n
,
v
o
l
.
69
,
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o
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p
p
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5
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5
]
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jk
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m
a
r
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.
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a
lath
i
,
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n
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m
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ro
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m
p
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lse
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ise
,
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ll
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ti
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o
f
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trica
l
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n
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g
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rm
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t
ics
,
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ol
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o
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p
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8
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,
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0
1
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.
[1
6
]
W
.
Jia
n
we
i
,
“
A
No
ise
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e
m
o
v
a
l
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lg
o
rit
h
m
o
f
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lo
r
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a
g
e
,
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EL
KOM
NIKA
(
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lec
o
mm
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n
ica
ti
o
n
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o
mp
u
ti
n
g
,
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e
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tro
n
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a
n
d
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o
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tro
l)
,
v
ol
.
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,
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o
.
1
,
p
p
.
5
6
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7
4
,
2
0
1
4
.
[1
7
]
S
.
A
.
A
li
,
e
t
a
l.
,
“
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lt
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n
d
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e
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p
e
r
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ise
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l
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sin
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b
le
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o
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n
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u
n
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ti
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n
,”
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ter
n
a
t
io
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l
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o
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rn
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o
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lec
trica
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n
d
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o
mp
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ter
En
g
in
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g
(
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),
v
ol
.
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,
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o
.
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,
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p
.
2
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.
[1
8
]
D.
G
u
o
,
e
t
a
l.
,
“
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a
lt
a
n
d
p
e
p
p
e
r
n
o
ise
re
m
o
v
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l
w
it
h
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ise
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e
tec
ti
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n
a
n
d
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p
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tch
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b
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se
d
sp
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rse
re
p
re
se
n
tatio
n
,
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v
a
n
c
e
s i
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lt
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4
.
[1
9
]
X.
Q
u
,
e
t
a
l.
,
“
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a
g
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ti
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re
so
n
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n
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e
ima
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re
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o
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stru
c
ti
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f
ro
m
u
n
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e
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led
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e
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su
re
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e
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ts
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sin
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a
p
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tch
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se
d
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o
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l
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p
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ra
to
r
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e
d
ica
l
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g
e
An
a
lys
is
,
v
ol
.
18
,
n
o
.
6
,
2
0
1
4
.
[2
0
]
K.
H.
Jin
a
n
d
J.
C.
Ye
,
“
S
p
a
rse
a
n
d
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o
w
-
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n
k
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c
o
m
p
o
siti
o
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o
f
a
H
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k
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l
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tru
c
tu
re
d
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a
tri
x
f
o
r
Im
p
u
lse
No
ise
Re
m
o
v
a
l
,
”
IEE
E
T
ra
n
s
a
c
ti
o
n
s o
n
Ima
g
e
Pr
o
c
e
ss
in
g
,
v
ol
.
27
,
n
o
.
3
,
p
p
.
1
4
4
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-
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4
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1
,
2
0
1
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.
[2
1
]
Y.
Qin
,
“
A
n
e
w
f
a
m
il
y
o
f
m
o
d
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b
a
se
d
im
p
u
lsiv
e
w
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v
e
lets
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n
d
th
e
ir
sp
a
rse
re
p
re
se
n
tatio
n
f
o
r
r
o
ll
i
n
g
b
e
a
rin
g
f
a
u
lt
d
iag
n
o
sis,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
In
d
u
stria
l
El
e
c
tro
n
ics
,
v
ol
.
65
,
n
o
.
3
,
p
p
.
2
7
1
6
-
2
7
2
6
,
2
0
1
8
.
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