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[
1
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.
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[
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.
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p
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[
4
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[
5
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[
6
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8708
I
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C
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Vo
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8
,
No
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6
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Dec
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er
2
0
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8
:
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9
8
1
-
499
4
4982
T
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tech
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B
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[
8
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[
9
]
.
Mo
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[
10
]
.
T
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h
ar
d
w
ar
e
i
m
p
le
m
en
ta
tio
n
h
a
s
also
co
n
d
u
cted
r
ec
en
tl
y
f
o
r
p
r
o
o
f
in
g
t
h
e
ad
d
itio
n
co
n
ce
p
t
u
s
in
g
W
al
s
h
tr
an
s
f
o
r
m
s
,
an
d
in
v
er
s
e
W
alsh
tr
an
s
f
o
r
m
s
[
11
]
.
T
h
e
p
r
im
iti
v
e
Sp
ar
tan
3
h
as
b
ee
n
u
s
ed
in
th
e
i
m
p
le
m
en
tati
o
n
,
an
d
th
e
r
esu
l
ts
w
er
e
ca
p
tu
r
ed
u
s
in
g
a
lo
g
ic
a
n
al
y
ze
r
at
2
0
MH
z.
A
lter
n
ati
v
el
y
,
s
cien
tis
t
s
also
d
ev
elo
p
ed
alg
o
r
ith
m
s
o
f
Fo
u
r
ier
tr
an
s
f
o
r
m
s
b
y
co
m
b
in
in
g
it
w
it
h
t
h
e
W
alsh
tr
a
n
s
f
o
r
m
s
[
12
]
-
[
14
]
.
T
h
is
co
n
ce
p
t i
s
b
ased
o
n
th
e
s
i
m
p
le
ca
lc
u
latio
n
o
f
W
alsh
tr
a
n
s
f
o
r
m
s
t
h
at
s
ee
m
to
b
e
ig
n
o
r
ed
in
th
e
p
r
ev
io
u
s
w
o
r
k
s
.
T
h
is
alg
o
r
ith
m
s
u
c
h
as
W
alsh
tr
an
s
f
o
r
m
s
w
as
ad
o
p
ted
th
r
o
u
g
h
a
f
ac
to
r
izatio
n
o
f
th
e
in
ter
m
ed
i
ate
tr
an
s
f
o
r
m
s
T
f
o
r
th
e
co
ef
f
ici
en
t
s
ca
lcu
latio
n
o
f
DFT
[
12
]
.
M
o
n
ir
et
al.
also
th
en
p
r
o
p
o
s
ed
th
e
ef
f
ec
t
iv
e
co
m
b
i
n
atio
n
o
f
th
e
DFT
an
d
W
alsh
co
m
p
u
ta
tio
n
s
.
T
h
e
te
ch
n
iq
u
e
i
s
u
s
ed
to
p
er
f
o
r
m
w
h
at
it
ca
lled
Fas
t
W
alsh
Had
a
m
ar
d
T
r
an
s
f
o
r
m
s
(
FW
H
T
)
.
I
t
w
a
s
ac
h
ie
v
ed
b
y
u
til
izin
g
R
ad
i
x
-
4
m
et
h
o
d
[
13
]
.
Nex
t,
an
e
f
f
icie
n
t
co
m
p
u
ti
n
g
al
g
o
r
ith
m
o
f
b
o
th
t
h
e
W
als
h
tr
a
n
s
f
o
r
m
s
an
d
t
h
e
DFT
tr
an
s
f
o
r
m
s
u
s
i
n
g
th
e
w
el
l
-
k
n
o
w
n
R
ad
ix
-
2
also
p
r
o
p
o
s
ed
[
14
]
.
T
h
e
an
al
y
s
is
a
n
d
s
y
n
th
e
s
is
o
f
p
er
io
d
ic
d
ig
ital
s
ig
n
al
s
,
af
ter
o
b
tain
in
g
a
s
p
ec
tr
u
m
h
a
s
t
h
er
ef
o
r
e
b
ee
n
d
em
o
n
s
tr
ated
.
Mu
ltip
le
s
i
g
n
a
ls
ar
e
also
c
o
n
v
en
ie
n
tl
y
g
e
n
e
r
ated
.
Fu
r
th
er
,
m
a
n
ip
u
la
tio
n
s
an
d
p
r
o
ce
s
s
in
g
o
f
m
u
ltip
le
s
i
g
n
a
ls
f
r
o
m
th
e
ir
d
ig
ital
s
p
ec
tr
u
m
h
a
v
e
b
ee
n
s
h
o
wn
[
15
]
,
[
16
]
.
T
h
er
ef
o
r
e,
th
er
e
is
a
n
ee
d
to
ex
p
lo
r
e
m
o
r
e
o
n
W
alsh
tr
an
s
f
o
r
m
s
r
ea
lizatio
n
.
T
h
is
p
ap
er
p
r
esen
ts
s
e
v
er
al
p
r
ev
io
u
s
w
o
r
k
s
o
f
W
alsh
tr
an
s
f
o
r
m
s
r
ea
lizatio
n
s
a
n
d
s
o
m
e
n
e
w
r
esu
lt
s
f
o
r
a
co
m
p
lete
a
n
d
co
m
p
r
e
h
en
s
iv
e
d
es
ig
n
.
T
h
e
r
ea
lizatio
n
o
f
W
als
h
tr
an
s
f
o
r
m
s
tar
g
eted
to
s
tate
-
of
-
t
h
e
-
ar
t
FP
G
A
s
f
r
o
m
Xili
n
x
an
d
Alter
a.
A
co
m
p
ar
ati
v
e
d
esig
n
o
f
FP
G
A
r
ea
lizatio
n
to
Xilin
x
an
d
Alter
a
h
as
b
ee
n
p
r
esen
ted
.
T
h
e
d
es
ig
n
is
u
n
d
er
g
o
i
n
g
b
y
ex
p
lo
r
in
g
th
e
p
r
o
p
er
ties
o
f
W
alsh
tr
an
s
f
o
r
m
s
b
ase
o
n
p
r
o
d
u
cts o
f
R
ad
e
m
ac
h
er
f
u
n
c
tio
n
s
.
T
h
is
p
ap
er
p
r
esen
ts
th
e
co
m
p
l
ete
r
ea
lizatio
n
o
f
W
alsh
tr
an
s
f
o
r
m
s
f
o
r
ar
b
itra
r
y
w
a
v
ef
o
r
m
g
en
er
atio
n
(
A
W
G)
,
s
i
g
n
al
ad
d
itio
n
/
s
u
b
tr
ac
tio
n
,
m
u
l
tip
licatio
n
o
f
t
w
o
s
ig
n
al
s
an
d
p
r
o
ce
s
s
in
g
m
o
r
e
t
h
an
t
w
o
s
ig
n
als.
I
n
th
e
n
e
x
t
s
ec
tio
n
,
s
o
m
e
f
u
n
d
a
m
en
tal
t
h
eo
r
ies
o
f
W
als
h
tr
a
n
s
f
o
r
m
s
,
an
d
W
alsh
f
u
n
ctio
n
s
ar
e
p
r
esen
ted
.
I
n
s
ec
tio
n
3
,
a
s
h
o
r
t
an
d
p
r
ec
is
e
d
esig
n
o
f
h
o
w
W
als
h
tr
an
s
f
o
r
m
s
i
s
u
s
ed
f
o
r
r
ea
lizatio
n
s
.
T
h
e
i
m
p
le
m
e
n
tat
io
n
o
f
th
e
d
esi
g
n
i
n
to
FP
G
A
is
co
v
er
ed
in
s
ec
tio
n
4
.
So
m
e
d
is
c
u
s
s
i
o
n
s
a
n
d
co
m
p
ar
is
o
n
s
o
f
v
ar
io
u
s
r
es
u
lt
s
r
eg
ar
d
i
n
g
th
e
s
p
ee
d
an
d
s
tatic
p
o
w
er
d
is
s
ip
atio
n
ar
e
d
escr
ib
ed
h
er
e.
Fin
all
y
,
s
o
m
e
co
n
cl
u
s
io
n
s
r
eg
ar
d
in
g
th
e
r
es
u
lt
s
ar
e
m
en
tio
n
ed
at
th
e
e
n
d
o
f
t
h
is
p
ap
er
.
2.
D
E
S
I
G
N
O
F
WAL
SH
T
RA
NSFO
RM
S F
O
R
F
P
G
A
RE
AL
I
Z
A
T
I
O
N
As
h
a
s
b
ee
n
d
esc
r
ib
ed
in
th
e
i
n
tr
o
d
u
ctio
n
,
t
h
e
W
alsh
tr
a
n
s
f
o
r
m
s
m
a
y
b
e
r
ea
lized
d
ir
ec
tl
y
an
d
it
m
a
y
also
b
e
i
m
p
le
m
en
ted
i
n
ter
m
s
p
r
o
d
u
ct
o
f
R
ad
e
m
ac
h
er
f
u
n
cti
o
n
s
.
T
h
e
d
esig
n
o
f
W
al
s
h
tr
a
n
s
f
o
r
m
s
ap
p
licatio
n
h
er
e
is
b
ased
o
n
th
e
s
ec
o
n
d
m
eth
o
d
s
in
ce
it
m
o
r
e
co
n
v
e
n
ie
n
t
l
y
f
o
r
h
ar
d
w
ar
e.
2
.
1
.
Desig
n o
f
WT
a
nd
I
WT
W
alsh
tr
a
n
s
f
o
r
m
s
co
n
ce
i
v
ed
in
ter
m
s
p
r
o
d
u
ct
o
f
R
ad
e
m
ac
h
er
f
u
n
ctio
n
s
.
Fi
g
u
r
e
1
(
a)
s
h
o
w
s
th
e
p
r
ev
io
u
s
l
y
p
r
o
p
o
s
ed
o
f
W
T
f
o
r
tr
an
s
f
o
r
m
len
g
t
h
s
N
[
10
]
.
I
n
p
u
t
d
ata
X
is
p
as
s
ed
to
th
e
cir
cu
it
s
er
ial
l
y
,
a
n
d
th
e
y
ar
e
co
n
tr
o
lled
b
y
E
n
ter
s
ig
n
al.
Me
a
n
w
h
ile,
th
e
o
u
tp
u
ts
tr
an
s
f
o
r
m
ed
co
ef
f
icie
n
ts
Y
ar
e
p
r
o
d
u
ce
d
in
p
ar
allel.
W
alsh
cir
c
u
it
w
o
r
k
s
b
ased
u
p
o
n
t
h
e
p
r
o
d
u
ct
o
f
R
ad
e
m
ac
h
er
f
u
n
ctio
n
s
ar
e
u
s
ed
to
co
n
tr
o
l
d
ata
b
u
f
f
er
s
a
n
d
ac
cu
m
u
lato
r
s
.
Fi
g
u
r
e
1
(
b
)
s
h
o
w
s
t
h
e
p
r
o
p
o
s
ed
o
f
I
n
v
er
s
e
W
als
h
tr
an
s
f
o
r
m
s
(
I
W
T
)
f
o
r
tr
an
s
f
o
r
m
len
g
th
s
N
[
10
]
.
N
i
n
p
u
t
s
(
co
ef
f
icien
ts
)
C
ar
e
p
ass
ed
i
n
to
t
h
e
cir
cu
it
i
n
p
ar
allel
co
n
tr
o
lled
E
n
ter
.
M
ea
n
w
h
ile
,
th
e
o
u
tp
u
ts
o
f
H
ar
e
p
r
o
d
u
ce
d
in
s
er
ial.
E
v
er
y
ti
m
e
E
n
ter
g
o
es
h
i
g
h
,
C
n
o
r
–
C
n
(
n
eg
a
tiv
e
v
alu
e
o
f
C
n
)
w
ill
b
e
p
ass
ed
to
d
ata
b
u
f
f
er
s
t
h
r
o
u
g
h
m
u
ltip
lex
er
s
.
A
t
t
h
e
s
a
m
e
ti
m
e,
t
h
e
d
ata
i
n
s
id
e
d
ata
b
u
f
f
e
r
s
ar
e
p
ass
ed
to
t
h
e
o
u
tp
u
t
b
u
f
f
er
.
T
h
e
m
u
ltip
le
x
e
r
s
s
elec
t
C
n
o
r
–
C
n
b
ased
o
n
o
u
tp
u
t
s
i
g
n
als
o
f
th
e
W
als
h
ci
r
cu
it.
W
alsh
cir
c
u
it
co
n
tr
o
l
d
ata
b
u
f
f
er
s
an
d
a
cc
u
m
u
lato
r
s.
2
.
2
.
Wa
ls
h T
ra
ns
f
o
r
m
s
App
lica
t
io
ns
W
alsh
tr
a
n
s
f
o
r
m
s
ca
n
b
e
ap
p
l
ied
f
o
r
A
W
G,
ad
d
itio
n
/
s
u
b
tr
ac
tio
n
,
p
r
o
ce
s
s
in
g
o
f
s
e
v
er
al
s
i
g
n
al
s
,
a
n
d
m
u
ltip
licatio
n
s
y
s
te
m
.
T
h
e
AW
G
s
y
s
te
m
r
ea
lized
b
y
co
m
b
i
n
in
g
W
T
an
d
I
W
T
,
o
u
tp
u
t
r
esu
lts
o
f
W
T
b
ec
o
m
es
in
p
u
t
f
o
r
I
W
T
.
T
h
er
ef
o
r
e,
th
e
s
y
s
te
m
ca
n
g
en
er
ate
s
ig
n
al
co
n
tin
u
o
u
s
l
y
[
17
]
.
T
h
e
ad
d
i
tio
n
o
r
s
u
b
tr
ac
tio
n
s
y
s
te
m
co
n
v
er
t
b
o
th
in
p
u
t
s
ig
n
als
i
n
to
th
e
f
r
eq
u
e
n
c
y
d
o
m
ai
n
u
s
i
n
g
W
T
.
T
h
ese
v
alu
e
s
ar
e
ca
lled
co
ef
f
icien
t
s
o
f
in
p
u
t
s
i
g
n
als.
T
h
en
,
b
o
th
o
f
th
e
tr
an
s
f
o
r
m
ed
s
ig
n
als
(
co
ef
f
icie
n
ts
)
ar
e
ad
d
ed
o
r
s
u
b
tr
ac
ted
f
r
o
m
ea
ch
o
th
er
.
T
h
e
r
esu
lt
(
an
o
t
h
er
co
ef
f
icie
n
t
)
is
t
h
en
co
n
v
er
ted
b
ac
k
ag
ai
n
to
th
e
ti
m
e
d
o
m
ain
an
d
co
n
s
i
d
er
as
th
e
o
u
tp
u
t
o
f
a
d
d
itio
n
o
r
s
u
b
tr
ac
tio
n
p
r
o
ce
s
s
u
s
in
g
I
W
T
[
10
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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r
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s
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r
in
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ce
,
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e
r
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u
lt
o
f
y
1
[
6
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in
itiall
y
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0
b
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th
e
in
p
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t si
g
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al
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le.
So
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ter
t
h
e
f
ir
s
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u
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x
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at
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[
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o
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=6
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Af
ter
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e
th
ir
d
i
n
p
u
t
x
[
4
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=5
co
m
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s
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h
e
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e
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1
[
6
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6
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T
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en
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ter
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la
s
t
in
p
u
t
x
[
4
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ter
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e
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m
,
th
e
f
in
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o
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t
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1
[
6
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6
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5
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T
h
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p
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atin
g
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s
s
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ig
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E
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Fig
u
r
e
3
d
is
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Xilin
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d
A
lter
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clo
s
e
s
i
m
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n
r
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Fig
u
r
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3
(
a)
v
ie
w
s
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clo
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e
ex
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i
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atio
n
w
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n
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e
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in
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Xili
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E
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ter
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Fi
g
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r
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3
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b
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v
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x
a
m
in
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.
5
n
s
in
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lte
r
a
(
Qu
ar
t
u
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i
m
p
le
m
en
ta
tio
n
.
(
a)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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I
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N:
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Fig
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4
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Xili
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Fig
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iew
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I
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ig
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r
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y
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e
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i
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n
o
f
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p
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t
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ig
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s
[
8
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x
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x
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a)
f
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s
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th
s
N=
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6
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t
s
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it
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n
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er
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at
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2
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I
SS
N
:
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I
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er
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0
1
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4
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Fig
u
r
e
4
.
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x
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r
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n
o
f
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r
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6
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I
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Fig
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5
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6
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3
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2
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s
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s
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o
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n
s
f
o
r
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s
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o
r
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is
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ea
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,
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l
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e
o
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tp
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t
o
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W
T
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i
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u
t
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o
r
I
W
T
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er
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e
W
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tr
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s
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m
s
a
s
d
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g
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in
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n
2
h
a
s
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ee
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i
m
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le
m
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ted
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Xili
n
x
a
n
d
A
l
ter
a
ch
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s
f
o
r
tr
an
s
f
o
r
m
le
n
g
t
h
s
N
=4
an
d
i
n
p
u
t
w
o
r
d
len
g
t
h
s
W
I
C
=
6
.
T
h
e
in
p
u
t
s
ig
n
al
is
p
as
s
i
n
g
t
h
r
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u
g
h
t
h
e
s
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s
te
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i
n
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b
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t th
e
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l
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e
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g
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Fig
u
r
e
6
(
a)
s
h
o
w
s
Xil
in
x
b
eh
av
io
r
s
i
m
u
la
tio
n
o
f
I
W
T
f
o
r
N=
4
an
d
W
I
C
=6
.
I
n
th
e
f
i
g
u
r
e,
c0
[
6
:1
]
=
1
2
,
c1
[
6
:1
]
=
1
0
,
c
2
[
6
:1
]
=1
2
,
an
d
c3
[
6
:1
]
=
-
1
0
ar
e
th
e
r
ep
r
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tat
io
n
o
f
in
p
u
t
s
i
g
n
al
in
6
b
it
s
ig
n
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m
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er
.
Me
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w
h
i
le,
th
e
i
n
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er
s
e
o
u
tp
u
t
h
[
4
:1
]
={
6
,
6
,
5
,
-
5
}
is
r
ep
r
esen
ted
i
n
4
-
b
it
s
i
g
n
n
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m
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er
b
ased
o
n
E
q
u
atio
n
(
2
)
.
T
h
e
f
ig
u
r
e
also
s
h
o
w
s
s
tep
b
y
s
tep
p
r
o
ce
s
s
o
f
r
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lt
in
g
in
t
h
e
i
n
v
er
s
e
tr
an
s
f
o
r
m
r
es
u
lts
.
Fo
r
ex
a
m
p
le,
t
h
e
r
e
s
u
lt
o
f
h
[
4
:1
]
in
itia
ll
y
is
0
(
it
i
s
n
o
t
co
n
s
i
d
er
ed
as
o
u
tp
u
t
r
es
u
lt)
b
ef
o
r
e
th
e
i
n
p
u
t
s
i
g
n
a
ls
av
ailab
le
an
d
b
ef
o
r
e
E
n
ter
g
o
e
s
h
ig
h
.
So
o
n
af
ter
E
n
ter
g
o
es
h
ig
h
,
th
e
r
esu
lt
is
u
p
d
ated
to
b
e
h
[
4
:1
]
={
6
}.
T
h
en
af
ter
th
e
s
ec
o
n
d
E
n
ter
g
o
es
h
i
g
h
,
t
h
e
r
es
u
lt
b
ec
o
m
e
s
h
[
4
:1
]
={
6
,
6
}.
A
f
ter
t
h
e
th
ir
d
tr
ig
g
er
ed
E
n
ter
,
th
e
r
es
u
lt
w
il
l
b
e
h
[
4
:1
]
={
6
,
6
,
5
}.
Nex
t
tim
e
E
n
ter
tr
ig
g
er
ed
,
th
e
f
in
al
o
u
tp
u
t
i
s
h
[
4
:1
]
={
6
,
6
,
5
,
-
5
}.
Si
m
ilar
l
y
,
Fig
u
r
e
6
(
b
)
s
h
o
w
s
th
e
s
a
m
e
p
r
o
ce
s
s
o
f
i
n
v
er
s
e
W
als
h
tr
a
n
s
f
o
r
m
s
f
o
r
N=
4
an
d
W
I
C
=6
.
T
h
e
in
p
u
t
v
a
lu
e
o
f
C
0
,
C
1
,
C
2
,
an
d
C
3
ar
e
p
ass
ed
in
p
ar
allel,
an
d
th
e
o
u
tp
u
t H
is
g
at
h
er
ed
in
s
er
ial.
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
F
P
GA
R
ea
liz
a
tio
n
s
o
f W
a
ls
h
Tr
a
n
s
fo
r
ms fo
r
Differ
en
t T
r
a
n
s
fo
r
m
a
n
d
W
o
r
d
Len
g
th
s
in
to
X
ilin
x
…
(
Zu
lfika
r
)
4987
(
a)
(
b
)
Fig
u
r
e
6
.
S
i
m
u
latio
n
o
f
I
W
T
f
o
r
N=
4
an
d
W
I
C
=6
; (
a
)
Xilin
x
b
eh
av
io
r
; (
b
)
A
lter
a
ti
m
in
g
3
.
3
.
Arbit
ra
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Wa
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G
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A
r
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W
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G
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W
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tr
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s
f
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m
s
,
an
d
in
v
er
s
e
W
als
h
tr
an
s
f
o
r
m
s
[
17
]
.
A
W
G
h
as
b
ee
n
i
m
p
le
m
en
ted
o
n
Xi
lin
x
a
n
d
A
lter
a
c
h
ip
s
f
o
r
tr
an
s
f
o
r
m
len
g
t
h
s
N=
1
6
an
d
in
p
u
t
w
o
r
d
len
g
t
h
s
W
I
=8
.
T
h
e
in
p
u
t
s
i
g
n
al
is
p
as
s
in
g
i
n
to
th
e
s
y
s
te
m
s
er
iall
y
;
t
h
e
r
esu
lt
s
ar
e
also
in
s
er
ial
.
B
o
th
o
f
th
e
m
ar
e
f
o
r
m
atted
to
8
-
b
it
s
ig
n
n
u
m
b
er
.
Fi
g
u
r
e
7
(
a)
s
h
o
w
s
Xili
n
x
b
eh
a
v
io
r
s
i
m
u
latio
n
o
f
A
W
G
f
o
r
N=
16
an
d
W
I
=
8
.
I
n
th
e
f
ig
u
r
e,
R
eset
is
u
s
ed
to
d
elete
al
l
p
r
ev
io
u
s
l
y
s
to
r
ed
v
alu
e
s
,
an
d
P
ass
is
u
s
ed
f
o
r
g
ath
er
i
n
g
o
u
tp
u
t
f
r
o
m
t
h
e
s
y
s
t
e
m
.
th
e
v
al
u
e
o
f
in
p
u
t
s
ig
n
al
x
[
8
:1
]
={
4
9
,
2
4
,
0
,
-
25,
-
49,
-
71,
-
90,
-
105,
-
1
1
7
,
-
125,
-
127,
1
2
2
,
1
1
4
,
1
0
3
,
8
9
,
7
0
}
is
p
a
s
s
i
n
g
i
n
to
th
e
s
y
s
te
m
o
n
e
b
y
o
n
e
b
ased
u
p
o
n
th
e
r
is
e
ed
g
e
o
f
E
n
ter
.
T
h
e
f
ig
u
r
e
also
v
ie
w
s
co
ef
f
icie
n
t
s
o
f
th
e
in
p
u
t
o
r
o
u
tp
u
t
s
ig
n
al
(
C
o
e
f
f
s
[
1
2
:1
]
)
.
T
h
o
s
e
v
alu
es
ar
e
ca
lcu
lated
b
ased
o
n
E
q
u
atio
n
(
1
)
.
Fig
u
r
e
7
(
b
)
s
h
o
w
s
th
e
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u
r
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7
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Si
m
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latio
n
o
f
A
W
G
f
o
r
N=
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6
an
d
W
I
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;
(
a)
Xilin
x
b
eh
av
io
r
; (
b
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A
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m
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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I
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Addi
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ted
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Xilin
x
an
d
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ch
ip
s
f
o
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tr
an
s
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o
r
m
len
g
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s
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an
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o
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len
g
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s
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I
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Sig
n
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p
u
t
s
x
[
8
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an
d
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[
8
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ar
e
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s
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l
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[
9
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an
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e
f
f
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s
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e
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o
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er
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B
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o
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t
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e
i
n
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u
t
s
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al
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ar
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atte
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-
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s
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g
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n
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m
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er
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d
th
e
o
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tp
u
t
ad
d
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n
r
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is
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o
r
m
atted
in
9
-
b
it
s
i
g
n
n
u
m
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er
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ased
o
n
E
q
u
atio
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3
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,
an
d
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e
co
e
f
f
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ts
o
f
th
e
o
u
t
p
u
t
s
i
g
n
al
ar
e
f
o
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m
atted
in
1
2
-
b
it
s
i
g
n
n
u
m
b
er
b
ased
o
n
ca
l
cu
latio
n
ac
co
r
d
in
g
to
E
q
u
atio
n
(
1
)
.
Fig
u
r
e
8
s
h
o
w
s
Xil
in
x
b
eh
a
v
i
o
r
s
i
m
u
latio
n
o
f
ad
d
itio
n
f
o
r
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6
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W
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R
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ig
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o
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ad
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n
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s
s
h
[
8
:1
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an
d
co
ef
f
icien
t
s
o
f
s
ig
n
al
x
[
8
:1
]
ar
e
s
h
o
w
n
i
n
Fi
g
u
r
e
8
(
a)
.
Fig
u
r
e
8
(
b
)
s
h
o
w
s
o
u
tp
u
t
an
d
th
e
co
ef
f
icie
n
t
s
o
f
s
i
g
n
al
g
[
8
:1
]
.
T
h
e
co
ef
f
icien
t
s
o
f
th
e
o
u
tp
u
t
s
ig
n
al
ar
e
s
h
o
w
n
i
n
Fi
g
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r
e
8
(
c)
.
Deta
il
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alu
es
o
f
in
p
u
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n
d
o
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tp
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t
s
ig
n
al
s
ar
e
lis
ted
b
elo
w
.
x[
8
:
1
]
=
{
-
49,
-
7
1,
-
90,
-
105,
-
117,
-
125,
-
127,
1
22,
114,
103,
89,
70,
49,
24,
0,
-
25}
g[
8
:
1
]
=
{89,
127,
90,
0,
-
90,
-
126,
-
90,
0,
91,
127,
90,
0,
-
90,
-
125,
-
90,
0}
h
[
9
:
1
]
=
{
40,
56
,
0,
-
105,
-
20
7,
-
251,
-
21
7,
122,
205,
230,
179,
70,
-
41,
-
101,
-
9
0,
-
25
}
(
a)
(
b
)
(
c)
Fig
u
r
e
8
.
Xilin
x
b
eh
a
v
io
r
s
i
m
u
latio
n
o
f
ad
d
itio
n
f
o
r
N=
1
6
an
d
W
I
=8
; (
a)
o
u
tp
u
ts
an
d
co
ef
f
icie
n
ts
o
f
x
[
8
:1
]
;
(
b
)
o
u
tp
u
ts
an
d
co
ef
f
icie
n
ts
o
f
g
[
8
:1
]
; (
c)
o
u
tp
u
ts
a
n
d
co
ef
f
ic
ien
ts
o
f
h
[
9
:1
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3
.
5
.
Su
btr
a
ct
io
n Sy
s
t
e
m
T
h
e
d
esig
n
o
f
s
u
b
tr
ac
tio
n
s
y
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te
m
h
a
s
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ee
n
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m
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m
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o
n
Xili
n
x
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d
A
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ch
ip
s
f
o
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tr
an
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f
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m
len
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N=
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t
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g
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h
s
W
I
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I
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l
s
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ig
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it
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ial
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atted
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atted
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n
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m
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er
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ased
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th
e
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latio
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o
f
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
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C
o
m
p
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I
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N:
2
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4989
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at
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ig
n
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m
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er
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ased
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Fig
u
r
e
9
s
h
o
w
s
A
lte
r
a
ti
m
in
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i
m
u
lat
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o
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[
8
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an
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o
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x
[
8
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ar
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s
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w
n
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n
Fig
u
r
e
9
(
a)
.
Fig
u
r
e
9
(
b
)
s
h
o
w
s
o
u
tp
u
t
a
n
d
th
e
co
ef
f
icien
ts
o
f
s
ig
n
al
g
[
8
:
1
]
.
T
h
e
c
o
ef
f
icie
n
ts
o
f
th
e
o
u
t
p
u
t
s
ig
n
al
ar
e
s
h
o
w
n
in
t
h
e
Fi
g
u
r
e
(
9
c)
.
T
h
e
r
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lt
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ig
n
al
h
is
ca
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la
ted
b
y
s
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g
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g
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lu
e
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o
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n
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ls
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li
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ted
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.
x
={
-
71,
-
90,
-
1
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-
117,
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1
25,
-
127
,
122,
114,
10
3,
89,
70,
49,
24,
0,
-
25,
-
49}
g
=
{12
7,
90,
0,
-
90,
-
126,
-
90
,
0,
91,
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90,
0,
-
9
0,
-
125,
-
90,
0,
89}
h
={
-
198,
-
18
0,
-
105,
-
27,
1,
-
37,
12
2
,
23,
-
24,
-
1,
70,
139,
149,
90,
-
25,
-
138
}
(
a)
(
b
)
(
c)
Fig
u
r
e
9
.
A
lter
a
ti
m
i
n
g
s
i
m
u
la
tio
n
o
f
s
u
b
tr
ac
tio
n
f
o
r
N=
1
6
a
n
d
W
I
=8
; (
a)
o
u
tp
u
ts
an
d
co
ef
f
icie
n
ts
o
f
x
; (
b
)
o
u
tp
u
ts
a
n
d
co
ef
f
icie
n
ts
g
; (
c)
o
u
tp
u
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a
n
d
co
ef
f
icie
n
ts
h
3
.
6
.
M
ultiplica
t
io
n Sy
s
t
em
T
h
e
d
esig
n
m
u
ltip
licatio
n
s
y
s
te
m
h
as
b
ee
n
i
m
p
le
m
e
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ted
o
n
Xili
n
x
an
d
A
l
ter
a
ch
ip
s
f
o
r
tr
an
s
f
o
r
m
len
g
th
s
N=
1
6
an
d
in
p
u
t
w
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r
d
len
g
t
h
s
W
I
=8
.
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n
p
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t
s
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n
a
ls
x
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ar
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s
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n
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m
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licat
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s
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at
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5
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s
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n
u
m
b
er
ac
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r
d
in
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to
(
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o
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u
t
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n
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o
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m
atted
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2
3
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it si
g
n
n
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m
b
er
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ased
o
n
t
h
e
ca
lcu
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n
o
f
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5
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.
Fig
u
r
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1
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w
s
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te
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ig
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e
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o
w
n
in
Fi
g
u
r
e
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a
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.
Fig
u
r
e
1
0
(
b
)
s
h
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w
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o
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t
an
d
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ef
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o
f
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ig
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.
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s
h
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in
Fig
u
r
e
1
0
(
c)
.
Deta
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f
in
p
u
ts
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o
u
t
p
u
t a
n
d
co
ef
f
icie
n
t
v
al
u
e
ar
e
tab
u
lated
in
T
ab
le
2
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
6
,
Dec
em
b
er
2
0
1
8
:
4
9
8
1
-
499
4
4990
(
a)
(
b
)
(
c)
Fig
u
r
e
1
0
.
A
lter
a
ti
m
in
g
s
i
m
u
l
atio
n
o
f
m
u
l
tip
licatio
n
f
o
r
N=
1
6
an
d
W
I
=
8
; (
a)
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u
tp
u
ts
a
n
d
co
ef
f
icie
n
t
s
o
f
x
;
(
b
)
o
u
tp
u
ts
an
d
co
ef
f
icie
n
ts
o
f
g
; (
c)
o
u
tp
u
ts
a
n
d
co
ef
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icien
ts
o
f
h
T
ab
le
2
.
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n
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co
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icie
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licat
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l
C
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f
f
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n
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f
S
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g
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l
x
g
h
x
g
h
1
-
71
1
2
7
-
9
0
1
7
-
1
3
8
3
6
4
4
5
9
2
2
-
90
90
-
8
1
0
0
1
2
4
3
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0
6
5
4
4
3
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1
0
5
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3
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