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o
f
t
h
e
r
ec
o
n
s
tr
u
cted
i
m
a
g
e
ar
e
Me
an
Sq
u
ar
e
E
r
r
o
r
(
MSE
)
an
d
p
ea
k
s
ig
n
al
to
n
o
i
s
e
r
atio
(
PS
NR
)
r
atio
.
L
et
‟
s
ass
u
m
e
t
h
at
th
e
o
r
ig
i
n
al
i
m
a
g
e
is
„
A‟
a
n
d
th
e
r
ec
o
n
s
tr
u
cted
i
m
ag
e
i
s
„
B
‟
.
∑
(
1
)
[
]
(
2
)
T
h
e
o
r
ig
in
al
an
d
th
e
r
ec
o
n
s
tr
u
cted
i
m
a
g
es
ar
e
co
n
s
id
er
ed
in
d
is
ti
n
g
u
is
h
ab
le
b
y
h
u
m
a
n
ey
es
i
f
th
e
P
SNR
v
al
u
e
is
4
0
d
B
o
r
g
r
e
ater
[
5
]
.
A
n
o
th
er
p
er
f
o
r
m
a
n
c
e
f
ac
to
r
is
th
e
co
m
p
r
es
s
io
n
r
atio
o
f
th
e
i
m
ag
e
i
s
g
iv
e
n
b
y
(
3
)
Yash
a
s
w
i
n
i
P
R
1
,
a
n
d
Mr
.
R
av
i
Kir
a
n
[
5
]
u
s
ed
a
m
o
d
i
f
ie
d
SP
I
H
T
th
at
u
tili
ze
s
o
n
l
y
a
s
in
g
le
l
is
t
in
s
tead
o
f
t
h
r
ee
li
s
ts
.
T
h
o
m
a
s
W
.
Fr
y
,
a
n
d
Sco
tt
Hau
c
k
[
6
]
u
s
ed
a
m
o
d
i
f
icatio
n
to
t
h
e
o
r
ig
i
n
al
SP
I
HT
alg
o
r
ith
m
to
r
ed
u
ce
th
e
co
m
p
u
tatio
n
.
2.
T
H
E
P
RO
P
O
SE
D
M
E
T
H
O
D
2
.
1
.
Dis
cr
et
e
Wa
v
elet
T
ra
ns
f
o
r
m
T
h
e
DW
T
h
as
b
ec
o
m
e
s
o
p
o
p
u
lar
th
at
it
p
r
o
v
id
es
an
ef
f
icie
n
t
m
et
h
o
d
f
o
r
s
u
b
b
an
d
d
ec
o
m
p
o
s
itio
n
o
f
s
ig
n
al
s
.
T
h
e
p
r
o
ce
s
s
s
tar
ts
b
y
p
ass
i
n
g
s
i
g
n
al
t
h
r
o
u
g
h
f
ilter
s
w
it
h
d
i
f
f
er
e
n
t
c
u
t
-
o
f
f
f
r
eq
u
en
cie
s
[
7
]
.
T
h
ese
f
il
ter
s
ar
e
t
h
e
lo
w
p
as
s
a
n
d
h
ig
h
-
p
ass
d
ec
o
m
p
o
s
itio
n
f
ilter
s
to
g
en
er
ate
f
o
u
r
lo
w
er
r
e
s
o
lu
tio
n
co
m
p
o
n
e
n
t
s
:
o
n
e
lo
w
-
lo
w
(
L
L
1
)
s
u
b
-
i
m
ag
e,
w
h
ic
h
is
t
h
e
ap
p
r
o
x
im
at
io
n
o
f
t
h
e
o
r
ig
i
n
al
i
m
a
g
e
an
d
t
h
r
ee
d
etailed
s
u
b
-
i
m
a
g
es,
w
h
ic
h
r
e
p
r
esen
t
t
h
e
h
o
r
izo
n
tal
(
L
H1
)
,
v
er
tical
(
H
L
1
)
an
d
d
iag
o
n
a
l
d
ir
ec
ti
o
n
s
(
HH1
)
o
f
th
e
o
r
ig
i
n
al
i
m
ag
e
[
8
,
9
]
.
Firstl
y
,
t
h
e
r
o
w
s
o
f
th
e
ar
r
a
y
ar
e
p
ass
ed
to
th
e
f
ilter
s
to
d
iv
id
e
t
h
e
ar
r
a
y
i
n
to
t
w
o
v
er
ti
ca
l
h
al
v
es
,
w
it
h
th
e
f
ir
s
t
h
a
lf
r
ep
r
esen
t
s
th
e
av
er
a
g
e
co
e
f
f
icien
ts
,
w
h
ile
t
h
e
s
ec
o
n
d
v
er
tical
h
al
f
r
ep
r
esen
ts
th
e
d
etail
co
ef
f
icie
n
t
s
.
Seco
n
d
l
y
,
t
h
e
p
r
o
ce
s
s
is
r
ep
ea
ted
ag
ai
n
w
it
h
th
e
co
lu
m
n
s
,
r
es
u
lti
n
g
in
f
o
u
r
s
u
b
-
b
an
d
s
[
10
].
Fig
u
r
e
1
s
h
o
w
s
t
h
e
o
u
tp
u
t
o
f
t
h
e
t
w
o
-
d
i
m
e
n
s
io
n
al
w
av
e
let
tr
an
s
f
o
r
m
f
o
r
t
w
o
d
ec
o
m
p
o
s
itio
n
s
tep
s
i
n
a
co
n
ce
p
tu
al
w
a
y
.
L
d
e
n
o
tes a
lo
w
-
p
as
s
an
d
H
a
h
ig
h
-
p
ass
b
an
d
.
T
h
e
f
ir
s
t
letter
s
tan
d
s
f
o
r
th
e
tr
a
n
s
f
o
r
m
i
n
g
o
f
th
e
r
o
w
s
w
h
ile
th
e
s
ec
o
n
d
o
n
e
r
elate
s
to
th
e
co
lu
m
n
s
an
d
t
h
e
n
u
m
b
er
to
th
e
d
ec
o
m
p
o
s
itio
n
s
tep
[1
1
]
.
(
a
)
(
b
)
Fig
u
r
e
1
.
2
-
Di
m
e
n
s
io
n
al
DW
T
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
R
ec
o
n
f
i
g
u
r
ab
le
&
E
m
b
ed
d
ed
Sy
s
t
I
SS
N:
2089
-
4864
F
P
GA
imp
leme
n
ta
tio
n
o
f
n
ew LM
-
S
P
I
HT c
o
lo
r
ed
ima
g
e
co
mp
r
ess
io
n
w
ith
r
ed
u
ce
d
…
(
Ya
s
min
e
M
.
)
3
2
.
2
.
Set
P
a
rt
it
io
nin
g
in H
iera
rc
hica
l
T
re
es Alg
o
rit
h
m
(
SP
I
H
T
)
E
m
b
ed
d
ed
co
d
in
g
is
b
ased
o
n
th
r
e
s
h
o
ld
w
h
er
e
v
al
u
es
g
r
e
ater
o
r
eq
u
al
to
th
e
th
r
es
h
o
ld
ar
e
ca
lled
s
ig
n
i
f
ica
n
t.
W
h
ile
v
alu
e
s
les
s
t
h
an
t
h
r
es
h
o
ld
k
n
o
w
n
as i
n
s
ig
n
if
ica
n
t a
s
i
n
(
4
)
{
(
4)
T
h
is
in
d
icate
s
t
h
at
i
f
th
e
co
ef
f
icien
t
w
it
h
m
a
x
i
m
u
m
m
a
g
n
i
tu
d
e
i
n
a
s
et
is
s
i
g
n
i
f
ica
n
t,
th
en
t
h
e
s
ig
n
i
f
ica
n
t te
s
t r
es
u
lt
is
1
[1
1
]
.
T
h
e
v
alu
e
o
f
n
ca
n
b
e
o
b
tain
ed
b
y
u
s
i
n
g
(
5
)
[
{
|
|
}
]
(
5
)
T
h
e
en
co
d
er
a
n
d
th
e
d
ec
o
d
er
p
er
f
o
r
m
t
h
e
s
a
m
e
s
t
ep
s
an
d
w
h
en
t
h
e
d
ec
o
d
er
r
ec
eiv
es
th
e
co
m
p
ar
i
s
o
n
s
r
esu
lts
w
it
h
th
r
es
h
o
ld
f
r
o
m
t
h
e
e
n
co
d
er
,
it
ca
n
r
ec
o
v
er
t
h
e
o
r
d
er
in
g
in
f
o
r
m
atio
n
f
r
o
m
th
e
e
x
ec
u
tio
n
p
ath
.
[
1
2
]
.
Fo
r
a
g
i
v
en
b
it
r
ate,
t
h
e
lo
w
er
b
it
s
is
u
s
ed
to
r
ep
r
esen
t
s
ig
n
i
f
ic
an
t
v
alu
e
s
,
g
i
v
e
s
a
lo
w
er
o
u
tp
u
t b
it r
ate
[1
3
]
.
T
h
e
W
av
elet
-
co
ef
f
icie
n
ts
ca
n
b
e
class
i
f
ied
i
n
to
t
h
r
ee
s
ets
wh
er
e
ea
ch
s
et
co
n
tai
n
s
th
e
r
ep
r
esen
tat
iv
e
o
f
w
h
o
le
s
u
b
tr
ee
.
T
h
ese
tr
ee
s
ar
e
L
i
s
t
o
f
Si
g
n
i
f
ica
n
t
Set
(
L
I
S),
L
is
t
o
f
Sig
n
i
f
ica
n
t
P
ix
el
s
(
L
SP
)
,
an
d
L
is
t
o
f
I
n
s
i
g
n
if
ica
n
t P
ix
el
s
(
L
I
P
)
[1
2
]
.
a.
L
I
S
in
c
lu
d
es
t
h
e
lo
ca
tio
n
o
f
th
e
co
ef
f
icien
t
s
th
a
t
co
n
s
id
er
ed
in
s
i
g
n
if
ica
n
t
w
it
h
r
esp
ec
t
to
s
elec
ted
th
r
es
h
o
ld
.
b.
L
SP
in
cl
u
d
e
th
e
p
i
x
els t
h
at
ar
e
s
ig
n
i
f
ican
t
w
it
h
r
esp
ec
t to
s
el
ec
ted
th
r
esh
o
ld
.
c.
L
I
P
in
clu
d
e
s
th
e
p
i
x
els t
h
at
ar
e
co
n
s
id
er
ed
in
s
i
g
n
if
ica
n
t
w
i
t
h
r
esp
ec
t to
th
e
s
elec
ted
t
h
r
es
h
o
ld
.
E
v
er
y
p
a
s
s
i
s
d
iv
id
ed
in
to
t
w
o
p
ar
ts
: [
14
]
So
rt
ing
pa
s
s
:
i
n
t
h
is
p
as
s
ev
er
y
v
al
u
e
th
a
t
co
n
s
id
er
ed
in
s
i
g
n
i
f
ica
n
t
i
n
p
r
ev
io
u
s
p
ass
a
n
d
its
s
ig
n
i
f
ica
n
t in
t
h
i
s
p
ass
ar
e
en
c
o
d
ed
.
Ref
ine
m
ent
pa
s
s
es
:
t
h
e
n
th
M
SB
o
f
all
th
e
s
i
g
n
i
f
ican
t v
al
u
e
s
ar
e
o
u
tp
u
t.
P
ass
es
w
ill co
n
t
in
u
e
u
n
ti
l ta
r
g
et
d
ata
r
ate
is
r
ea
ch
ed
o
r
n
=0
.
2
.
3
.
Runl
eng
t
h E
nco
din
g
R
u
n
le
n
g
th
co
d
in
g
i
s
co
n
s
id
er
e
d
as
a
o
n
e
f
o
r
m
o
f
lo
s
s
le
s
s
c
o
m
p
r
es
s
io
n
.
I
t
r
ep
r
esen
t
s
a
r
u
n
o
f
s
a
m
e
n
u
m
b
er
s
b
y
t
w
o
v
alu
e
s
,
th
e
n
u
m
b
er
f
o
llo
w
ed
b
y
t
h
e
i
t
s
r
u
n
co
u
n
t
s
[
4
]
.
R
u
n
le
n
g
th
E
n
co
d
in
g
p
r
o
v
id
es
lar
g
e
co
m
p
r
ess
io
n
o
f
d
ata,
w
h
e
n
th
e
d
ata
co
n
ta
in
s
lar
g
e
n
u
m
b
er
o
f
r
u
n
s
.
On
e
d
r
a
w
b
ac
k
is
t
h
at
i
n
s
o
m
e
t
i
m
e
s
w
h
e
n
t
h
e
d
ata
co
n
tain
s
m
al
l
n
u
m
b
er
o
f
r
u
n
s
,
it
p
r
o
v
id
es
n
o
co
m
p
r
es
s
io
n
.
T
h
e
w
o
r
s
t
ca
s
e
if
t
h
er
e
ar
e
n
o
r
u
n
s
th
is
w
i
ll
lead
to
in
cr
ea
s
e
th
e
s
eq
u
e
n
ce
s
ize
i
n
s
tead
o
f
r
ed
u
cin
g
it
[1
5
]
.
3.
T
H
E
P
RO
P
O
SE
D
M
E
T
H
O
D
T
h
e
p
r
o
p
o
s
ed
m
o
d
el
is
d
ep
icted
in
F
ig
u
r
e
2
.
A
t
f
ir
s
t,
t
h
e
in
p
u
t
R
GB
i
m
a
g
e
w
it
h
s
ize
QC
I
F
(
1
7
6
x
1
4
4
)
is
co
n
v
er
ted
to
b
in
ar
y
f
ile
u
s
i
n
g
M
A
T
L
A
B
p
r
o
g
r
am
to
b
e
u
s
ed
as th
e
i
n
p
u
t to
th
e
VHD
L
p
r
o
g
r
a
m
.
Fig
u
r
e
2
.
T
h
e
p
r
o
p
o
s
ed
m
o
d
el
Evaluation Warning : The document was created with Spire.PDF for Python.
4
I
SS
N
:2
0
8
9
-
4
864
I
n
t J
R
ec
o
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f
i
g
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r
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le
&
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m
b
ed
d
ed
Sy
s
t V
o
l.
8
,
No
.
1
,
Ma
r
ch
2
0
1
9
: 1
–
13
T
h
e
w
a
v
elet
f
ilter
is
ca
r
r
ied
o
u
t
f
o
r
th
e
r
ed
,
g
r
ee
n
,
an
d
b
lu
e
i
m
a
g
e
la
y
er
s
i
n
p
ar
allel.
E
ac
h
8
x
8
b
lo
ck
ar
e
p
r
o
ce
s
s
ed
in
d
iv
id
u
all
y
to
r
ed
u
ce
p
r
o
ce
s
s
in
g
ti
m
e.
Hen
ce
o
n
l
y
6
4
p
ix
els
(
8
x
6
4
b
its
)
n
ee
d
ed
to
b
e
s
to
r
ed
in
b
u
f
f
er
b
ef
o
r
e
it
is
p
ass
ed
to
th
e
n
ex
t
s
tag
e.
An
d
f
u
r
th
er
r
ed
u
ctio
n
is
m
ad
e
b
y
p
as
s
i
n
g
o
n
l
y
d
etails
s
u
b
s
et
(
L
L
)
o
f
t
h
e
o
u
tp
u
t
o
f
w
a
v
elet
f
il
te
r
to
th
e
SP
I
HT
en
co
d
er
.
T
h
is
is
ap
p
r
o
x
i
m
atel
y
q
u
ar
ter
o
f
th
e
o
r
ig
in
al
i
m
ag
e
(
7
6
x
8
8
)
p
ix
el.
A
L
M
-
SP
I
HT
is
p
r
o
p
o
s
ed
w
er
e
th
r
ee
tr
ee
s
ar
e
u
s
ed
in
s
tead
o
f
o
n
e
tr
ee
.
E
ac
h
8
x
8
b
lo
ck
o
f
th
e
d
etail
s
u
b
s
et
is
d
iv
id
ed
in
to
th
r
ee
tr
ee
s
an
d
w
it
h
o
u
t
th
e
n
ee
d
to
s
to
r
e
lis
ts
o
f
s
i
g
n
if
ican
t
an
d
in
s
ig
n
i
f
ica
n
t.
T
h
e
8
x
8
b
lo
ck
o
f
im
a
g
e
w
it
h
t
h
r
ee
tr
ee
s
zig
za
g
s
ca
n
n
ed
i
s
s
h
o
w
n
in
F
ig
u
r
e
3
.
0
1
2
3.1
1
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
Fig
u
r
e
3
.
T
h
r
ee
tr
ee
s
in
8
x
8
b
l
o
ck
w
ith
zi
g
za
g
s
ca
n
T
h
e
zig
za
g
s
ca
n
n
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r
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er
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er
f
o
r
m
ed
o
n
ea
c
h
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ee
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e
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ea
ch
v
al
u
e
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co
m
p
ar
ed
to
th
r
es
h
o
ld
in
p
ar
allel.
T
h
e
p
ar
alleliza
tio
n
o
f
th
e
co
m
p
u
tatio
n
p
r
o
ce
s
s
o
f
ea
ch
tr
ee
r
ed
u
ce
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th
e
co
m
p
u
tatio
n
ti
m
e.
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h
e
n
u
m
b
er
o
f
le
v
els
w
h
er
e
tr
ee
s
ar
e
co
m
p
ar
ed
to
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r
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h
o
ld
d
ep
en
d
s
o
n
t
h
e
r
eq
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ir
e
d
o
u
tp
u
t
d
ata
r
ate.
T
h
e
less
n
u
m
b
er
o
f
lev
el
s
i
s
th
e
les
s
d
ata
r
ate.
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r
allel
p
r
o
ce
s
s
in
g
h
a
s
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ee
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ad
o
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ted
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m
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le
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e
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ti
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g
th
e
SP
I
HT
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d
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,
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h
er
e
ea
ch
tr
ee
i
s
p
r
o
ce
s
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ed
i
n
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iv
id
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all
y
.
F
ig
u
r
e
4
s
h
o
w
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lo
w
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h
ar
t
o
f
L
M
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SP
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H
T
p
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allel
p
r
o
ce
s
s
in
g
.
T
h
e
o
u
tp
u
t
o
f
SP
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HT
in
p
r
ev
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u
s
s
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is
en
co
d
ed
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s
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g
r
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n
le
n
g
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e
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d
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g
.
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u
n
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h
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ap
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H
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t
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it
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m
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n
ce
th
e
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u
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t
ar
e
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ep
r
ese
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ted
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y
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h
r
ee
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lu
e
s
o
n
l
y
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1
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ig
n
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n
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x
el)
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m
a
k
es
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h
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t
p
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t
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n
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lo
n
g
s
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cc
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s
s
i
v
e
r
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n
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o
f
1
0
o
r
0
.
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w
c
h
ar
t o
f
R
u
n
le
n
g
t
h
e
n
co
d
in
g
is
as in
Fig
u
r
e
5
.
T
h
is
s
tep
r
ed
u
ce
s
th
e
n
u
m
b
e
r
o
f
r
eq
u
ir
ed
b
its
to
b
e
tr
an
s
m
itted
to
th
e
r
ec
ei
v
er
.
Hen
ce
r
ed
u
cin
g
th
e
d
ata
r
ate
o
f
th
e
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v
er
all
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y
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t
e
m
to
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m
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m
p
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le
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w
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r
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e
5
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m
o
b
ile
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e
t
w
o
r
k
s
.
T
ab
le
1
s
h
o
w
s
t
h
e
L
M
-
SP
I
HT
alg
o
r
ith
m
s
tep
b
y
s
tep
.
T
h
e
o
u
tp
u
t
o
f
SP
I
HT
in
p
r
ev
io
u
s
s
t
ep
is
en
co
d
ed
u
s
i
n
g
r
u
n
le
n
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th
e
n
co
d
in
g
.
R
u
n
le
n
g
t
h
is
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s
e
f
u
l
w
h
e
n
ap
p
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u
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t
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its
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ea
m
.
Sin
ce
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h
e
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I
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o
u
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t a
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e
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ep
r
esen
ted
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y
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r
ee
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o
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0
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g
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ican
t p
i
x
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a
n
d
0
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in
s
i
g
n
i
f
ica
n
t
p
ix
el)
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is
m
ak
e
s
t
h
e
o
u
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t
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n
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n
s
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lo
n
g
s
u
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es
s
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v
e
r
u
n
s
o
f
1
0
o
r
0
.
Flo
w
c
h
ar
t
o
f
R
u
n
le
n
g
th
e
n
co
d
in
g
i
s
a
s
i
n
Fig
u
r
e
5
.
T
h
is
s
tep
r
ed
u
ce
s
t
h
e
n
u
m
b
er
o
f
r
eq
u
ir
ed
b
its
to
b
e
tr
an
s
m
itted
to
t
h
e
r
ec
eiv
er
.
Hen
ce
r
ed
u
ci
n
g
th
e
d
ata
r
ate
o
f
th
e
o
v
er
all
s
y
s
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e
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e
5
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m
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ile
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t
w
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r
k
s
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T
ab
le
1
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h
o
w
s
t
h
e
L
M
-
SP
I
HT
alg
o
r
ith
m
s
tep
b
y
s
tep
.
S
ub
-
s
e
t
(
S
2)
S
ub
s
e
t
(
S
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)
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6
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4.
H
ARDWA
R
E
I
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L
E
M
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b
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n
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f
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tio
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as
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h
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n
in
F
ig
u
r
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6
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Xilin
x
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De
s
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Su
i
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7
is
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s
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d
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h
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w
it
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test
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h
co
d
e
is
w
r
itt
en
in
V
HD
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.
Fig
u
r
e
6
.
N
etFP
GA
b
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d
in
s
tan
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alo
n
e
m
o
d
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n
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tio
n
T
h
e
i
m
p
le
m
e
n
tat
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n
s
tar
ts
b
y
w
a
v
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tr
an
s
f
o
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e
in
p
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t
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m
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T
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e
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u
p
lo
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