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ed
k
e
y
.
O
n
th
e
o
th
er
h
a
n
d
R
o
tto
n
d
i
[
1
1
]
,
h
as
p
r
o
p
o
s
ed
a
f
r
ien
d
l
y
p
r
i
v
ac
y
i
n
f
r
a
s
tr
u
ct
u
r
e
b
y
m
ea
n
s
o
f
a
cr
y
p
to
g
r
ap
h
ic
al
g
o
r
ith
m
th
a
t
h
id
es
t
h
e
p
atter
n
o
f
e
n
er
g
y
co
n
s
u
m
p
tio
n
,
b
ased
o
n
S
h
a
m
ir
'
s
s
ec
r
et
s
h
ar
i
n
g
s
ch
e
m
e.
T
an
et
a
l
.
[
1
2
]
p
r
o
p
o
s
ed
a
p
s
eu
d
o
n
y
m
-
b
ased
p
r
iv
ac
y
-
p
r
eser
v
i
n
g
s
c
h
e
m
e
r
ea
s
s
u
r
in
g
p
r
iv
ac
y
,
in
te
g
r
it
y
,
a
n
d
au
t
h
en
ticit
y
in
A
MI
.
R
ec
en
t
l
y
,
s
ev
er
al
r
esear
c
h
e
f
f
o
r
ts
h
a
v
e
b
ee
n
in
tr
o
d
u
ce
d
to
o
v
er
co
m
e
t
h
e
ch
al
len
g
e
s
an
d
f
i
n
d
ap
p
r
o
p
r
iate
s
o
lu
tio
n
s
as
s
o
ciat
ed
w
ith
s
ec
u
r
it
y
,
esp
ec
iall
y
e
n
d
-
to
-
en
d
s
ec
u
r
it
y
[
6
]
,
[
1
3
]
.
P
r
iv
ac
y
-
p
r
eser
v
in
g
s
ch
e
m
es
h
av
e
ad
v
a
n
ce
d
s
ig
n
i
f
ica
n
tl
y
i
n
r
ec
en
t
y
ea
r
s
,
esp
ec
iall
y
b
ec
au
s
e
o
f
t
h
e
n
ee
d
co
m
m
u
n
icatio
n
.
So
m
e
r
esear
ch
h
as
f
o
cu
s
ed
o
n
cr
ea
tin
g
s
ec
u
r
i
t
y
m
ec
h
a
n
i
s
m
s
t
h
at
ar
e
ad
eq
u
ate
f
o
r
th
e
co
n
tex
t
o
f
in
te
lli
g
en
t
m
ea
s
u
r
e
m
e
n
t
d
ev
ices;
h
o
w
e
v
e
r
,
th
e
n
ee
d
s
ar
e
v
ar
ied
an
d
in
c
r
ea
s
in
g
.
I
n
ad
d
itio
n
,
ev
er
y
d
a
y
p
r
iv
ac
y
is
e
x
p
o
s
ed
to
in
tr
u
s
io
n
s
f
r
o
m
t
h
o
s
e
w
h
o
h
av
e
m
a
licio
u
s
p
u
r
p
o
s
es
an
d
p
o
s
s
ess
s
u
f
f
icie
n
t
k
n
o
w
led
g
e
to
f
in
d
s
en
s
iti
v
e
d
ata.
I
n
r
ec
en
t
r
esear
c
h
,
v
ar
io
u
s
cr
y
p
to
g
r
ap
h
ic
m
ec
h
an
i
s
m
s
h
av
e
b
ee
n
p
r
esen
ted
to
s
tr
e
n
g
th
e
n
s
a
f
et
y
i
n
m
ea
s
u
r
in
g
d
ev
ice
s
an
d
in
telli
g
en
t
p
o
w
er
g
r
id
s
,
as
r
ev
ie
w
e
d
in
[
1
4
]
;
h
o
w
e
v
er
,
th
e
r
es
u
l
ts
o
b
tain
ed
in
[
1
4
]
s
h
o
w
t
h
e
n
ee
d
f
o
r
n
o
v
el
s
ch
e
m
es
to
r
ed
u
ce
t
h
e
co
m
p
le
x
it
y
an
d
co
m
p
u
ta
tio
n
al
r
e
s
o
u
r
ce
s
i
n
t
h
e
r
ev
i
s
ed
w
o
r
k
s
.
I
n
th
i
s
w
a
y
,
th
e
p
r
ese
n
t
w
o
r
k
h
as
as
s
tr
e
n
g
th
t
h
e
i
m
p
le
m
e
n
t
atio
n
o
f
an
al
g
o
r
it
h
m
o
f
"
d
ata
o
b
f
u
s
ca
tio
n
"
in
a
n
e
m
b
ed
d
ed
s
y
s
te
m
o
f
lo
w
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
.
T
h
er
ef
o
r
e,
in
t
h
is
w
o
r
k
w
e
p
r
o
p
o
s
e
a
n
e
w
al
g
o
r
ith
m
b
ased
o
n
a
p
s
e
u
d
o
-
r
an
d
o
m
b
it
g
en
er
ato
r
th
at
u
s
e
s
ch
ao
tic
s
ee
d
.
W
e
test
ed
t
h
e
e
f
f
ec
tiv
e
n
es
s
o
f
t
h
e
i
m
p
le
m
en
tatio
n
o
f
t
h
e
e
n
cr
y
p
tio
n
al
g
r
o
r
ith
m
,
co
m
b
i
n
i
n
g
t
w
o
tec
h
n
iq
u
es
;
lo
g
i
s
tic
m
ap
a
n
d
co
n
g
r
u
en
tial
g
en
er
ato
r
,
to
an
al
y
ze
th
e
co
m
p
en
s
atio
n
b
et
w
ee
n
r
eso
u
r
ce
s
an
d
s
ec
u
r
it
y
.
T
h
e
s
tr
en
g
t
h
e
n
i
n
g
o
f
s
ec
u
r
it
y
to
p
r
eser
v
e
p
r
iv
ac
y
a
g
ain
s
t
u
n
a
u
t
h
o
r
ized
attac
k
s
is
th
e
m
ai
n
o
b
j
ec
tiv
e
th
at
g
u
id
es
w
e
d
esi
g
n
.
Ho
w
e
v
er
,
f
o
r
all
p
r
ac
tical
ap
p
licatio
n
s
,
p
er
f
o
r
m
a
n
ce
an
d
th
e
co
s
t
o
f
im
p
le
m
e
n
tatio
n
ar
e
also
f
ac
to
r
s
to
co
n
s
id
er
s
ec
u
r
it
y
.
T
h
e
r
em
ai
n
d
er
o
f
th
is
p
ap
er
is
o
r
g
an
ized
as
f
o
llo
w
.
Sectio
n
2
g
iv
e
s
an
o
v
er
v
ie
w
o
f
t
h
e
en
cr
y
p
tio
n
alg
o
r
ith
m
,
w
h
ic
h
in
c
lu
d
es
a
lo
g
is
tic
m
ap
a
n
d
a
lin
ea
r
c
o
n
g
r
u
e
n
tia
l
g
e
n
er
ato
r
.
Sectio
n
3
in
tr
o
d
u
ce
s
o
u
r
s
ch
e
m
e
cr
y
p
to
g
r
ao
h
ic,
s
ec
u
r
it
y
p
ar
a
m
eter
s
,
an
d
d
esig
n
g
o
al
s
.
Sectio
n
4
g
iv
es
s
ec
u
r
i
t
y
an
a
l
y
s
i
s
;
th
e
r
esu
lts
ar
e
co
m
p
ar
ed
w
i
th
o
th
er
m
et
h
o
d
s
in
ter
m
s
o
f
s
ec
u
r
it
y
an
d
p
er
f
o
r
m
a
n
ce
.
Fin
a
ll
y
,
s
ec
tio
n
5
c
o
n
clu
d
es
t
h
is
p
ap
er
an
d
s
u
g
g
est
s
f
u
t
u
r
e
r
esear
ch
wo
r
k
.
2.
T
H
E
O
R
E
T
I
CA
L
CO
NSI
DE
RATI
O
N
B
elo
w
w
e
d
escr
ib
e
th
e
co
m
b
in
ed
m
et
h
o
d
s
u
s
ed
to
d
esig
n
th
e
en
cr
y
p
tio
n
alg
o
r
ith
m
r
ele
v
an
t
to
its
co
m
p
u
tatio
n
al
c
h
ar
ac
ter
is
tic
s
,
w
h
ic
h
i
n
cl
u
d
es
a
lo
g
is
t
ic
m
ap
an
d
a
lin
ea
r
co
n
g
r
u
en
t
g
e
n
er
ato
r
w
i
th
th
e
p
u
r
p
o
s
e
o
f
s
tr
en
g
th
e
n
i
n
g
th
e
k
e
y
,
g
i
v
en
t
h
at
t
h
e
s
tr
e
n
g
th
o
f
cr
y
p
to
g
r
ap
h
y
lie
s
i
n
th
e
c
h
o
ice
o
f
th
e
k
e
y
s
.
As
ch
ao
s
a
n
al
y
s
i
s
a
n
d
cr
y
p
to
g
r
ap
h
y
ar
e
r
elate
d
to
t
h
is
w
o
r
k
,
it
is
i
m
p
o
r
tan
t
to
h
i
g
h
l
ig
h
t
h
o
w
r
ea
l
n
u
m
b
er
s
,
u
s
ed
in
ch
ao
s
,
ar
e
m
ap
p
ed
in
to
f
in
ite
i
n
te
g
er
n
u
m
b
er
s
u
s
ed
in
cr
y
p
to
g
r
ap
h
y
.
T
h
u
s
,
d
ata
f
r
o
m
lo
g
is
tic
m
ap
s
ar
e
s
ca
led
an
d
d
i
s
cr
etize
d
in
to
th
e
i
n
te
g
er
in
ter
v
al
(
0
-
2
5
5
)
to
k
ee
p
th
e
s
y
s
te
m
co
n
s
is
te
n
t [
1
5
]
.
2
.
1
.
L
o
g
is
t
ic
m
a
p
pin
g
Am
o
n
g
ch
ao
tic
d
is
cr
ete
s
y
s
t
e
m
s
,
o
n
e
o
f
t
h
e
m
o
s
t
co
m
m
o
n
l
y
u
s
ed
to
en
co
d
e
in
f
o
r
m
a
tio
n
is
th
e
lo
g
is
tic
m
ap
.
T
h
is
is
b
ec
au
s
e
it
is
v
er
y
s
i
m
p
le,
f
a
s
t
an
d
s
en
s
iti
v
e
to
th
e
i
n
itial
co
n
d
itio
n
s
a
n
d
co
n
tr
o
l
p
ar
am
eter
.
L
o
g
is
tic
m
ap
p
in
g
ex
h
ib
it
s
v
er
y
r
ich
d
y
n
a
m
ics,
d
ep
en
d
in
g
o
n
th
e
v
a
lu
e
o
f
a
p
a
r
a
m
eter
.
T
h
er
e
m
a
y
b
e
tr
aj
ec
to
r
ies,
p
er
io
d
ic
o
r
ch
ao
tic,
ap
p
r
o
ac
h
in
g
a
f
ix
ed
p
o
in
t.
L
o
g
is
tic
ap
p
licatio
n
s
h
av
e
b
ee
n
u
s
ed
as
a
g
en
er
ato
r
o
f
p
s
eu
d
o
-
r
an
d
o
m
n
u
m
b
er
s
.
Fo
r
th
is
p
u
r
p
o
s
e,
in
[
1
6
]
,
s
o
m
e
s
ta
tis
tica
l
test
s
h
a
v
e
b
ee
n
p
er
f
o
r
m
ed
o
n
th
e
s
er
ies
o
f
n
u
m
b
er
s
o
b
tain
e
d
f
r
o
m
th
i
s
d
is
cr
ete
d
y
n
a
m
ic
s
y
s
te
m
,
a
n
d
it
h
a
s
b
ee
n
f
o
u
n
d
to
p
o
s
s
ess
m
a
n
y
o
f
th
e
p
r
o
p
er
ties
r
eq
u
ir
ed
b
y
a
p
s
eu
d
o
-
r
a
n
d
o
m
n
u
m
b
er
g
e
n
er
a
to
r
.
T
h
is
d
y
n
a
m
ic
s
y
s
te
m
is
o
n
e
o
f
th
e
s
i
m
p
lest
d
is
cr
ete
m
o
d
els
u
s
ed
f
o
r
th
e
s
tu
d
y
o
f
p
o
p
u
la
tio
n
ev
o
l
u
tio
n
in
clo
s
ed
s
y
s
te
m
s
a
n
d
is
g
iv
en
b
y
t
h
e
f
o
llo
w
in
g
f
u
n
ctio
n
[
1
7
]
)
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d
y
n
a
m
ic
s
y
s
te
m
s
ev
o
l
v
e
o
v
er
ti
m
e
th
r
o
u
g
h
t
h
e
iter
atio
n
p
r
o
ce
s
s
,
in
w
h
ic
h
th
e
n
e
x
t
s
tate
o
f
th
e
s
y
s
te
m
is
d
eter
m
i
n
ed
b
y
its
cu
r
r
en
t
s
t
ate.
A
s
ca
n
b
e
s
ee
n
i
n
F
ig
u
r
e
1
(
a)
,
th
e
s
y
s
t
e
m
p
r
ese
n
ts
p
er
io
d
b
if
u
r
ca
tio
n
w
i
th
μ
clo
s
e
to
3
,
w
h
ich
i
n
cr
ea
s
es
in
f
r
eq
u
en
c
y
f
r
o
m
th
is
p
o
in
t
an
d
g
e
n
er
ate
s
ch
ao
tic
b
eh
av
io
r
.
T
h
e
f
ig
u
r
e
in
d
icate
s
w
it
h
a
r
ec
tan
g
le
th
e
ar
ea
th
at
ca
n
b
e
ex
p
lo
ited
in
a
zo
n
e
o
f
ch
ao
s
.
Su
b
s
eq
u
e
n
tl
y
n
e
w
b
if
u
r
ca
tio
n
s
ar
e
g
en
er
ated
th
at
s
h
o
w
c
h
ao
tic
b
eh
av
io
r
as
in
Fig
u
r
e
1
,
w
h
er
e
th
e
tr
aj
ec
to
r
y
o
f
th
e
s
i
g
n
al
w
h
o
s
e
zo
n
e
ca
n
b
e
ex
p
lo
ited
to
g
en
er
ate
u
n
p
r
ed
ictab
le
s
eq
u
e
n
ce
s
i
s
s
h
o
w
n
.
T
o
g
u
ar
a
n
tee
u
n
p
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ed
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le
s
eq
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en
ce
s
,
it
is
n
ec
e
s
s
ar
y
to
tu
n
e
p
ar
a
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e
te
r
μ
w
it
h
i
n
t
h
e
ch
ao
tic
s
y
s
te
m
b
eh
av
io
r
.
Fo
r
th
i
s
r
ea
s
o
n
,
d
y
n
a
m
ic
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al
y
s
i
s
o
f
ch
ao
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g
e
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er
ato
r
s
w
it
h
L
y
ap
u
n
o
v
ex
p
o
n
e
n
t
s
is
p
r
esen
ted
,
as
s
h
o
w
n
i
n
th
e
r
ec
ta
n
g
le
n
a
m
ed
“
ch
ao
s
zo
n
e”
o
n
th
e
r
ig
h
t o
f
F
ig
u
r
e
1
(
c)
.
(
a)
(
b
)
(
c)
Fig
u
r
e
1
.
(
a
)
L
o
g
is
tic
m
ap
p
in
g
b
if
u
r
ca
tio
n
d
ia
g
r
a
m
,
(
b
)
C
h
ao
tic
s
ig
n
al
tr
aj
ec
to
r
y
d
ia
g
r
a
m
with
μ
=
3
.
9
8
,
(
c
)
Diag
r
a
m
o
f
L
y
ap
u
n
o
v
ex
p
o
n
en
t
s
T
h
e
L
y
ap
u
n
o
v
e
x
p
o
n
e
n
t q
u
a
n
t
if
ies
th
e
d
eg
r
ee
o
f
s
e
n
s
iti
v
it
y
t
o
in
itial c
o
n
d
itio
n
s
(
lo
ca
l i
n
s
ta
b
ilit
y
i
n
a
s
tate
s
p
ac
e)
b
y
th
e
f
o
llo
w
in
g
e
q
u
atio
n
:
}
|
)
(x
'
f
|
ln
2
1
{
(
=
i
1
-
n
0
i
n
lim
=
→
(
2
)
W
h
er
e
λ
ca
n
b
e
d
ef
in
ed
as
th
e
m
ea
n
n
atu
r
al
lo
g
ar
ith
m
ap
p
li
ed
to
ab
s
o
lu
te
v
alu
es
o
n
f
ir
s
t
d
er
iv
ativ
e
s
o
f
th
e
m
ap
p
in
g
f
u
n
ctio
n
e
v
al
u
ated
at
th
e
tr
aj
ec
to
r
y
p
o
in
ts
[
3
]
.
I
n
a
s
in
g
le
o
n
e
-
d
i
m
e
n
s
io
n
al
s
y
s
te
m
,
d
ep
en
d
en
t
o
n
o
n
l
y
o
n
e
p
ar
a
m
eter
,
t
h
e
lo
g
is
tic
f
u
n
ct
io
n
b
r
in
g
s
to
g
e
th
er
a
r
an
g
e
o
f
d
i
f
f
er
e
n
t
b
eh
av
io
r
s
f
o
r
th
e
x
t
tr
aj
ec
to
r
ies
h
en
ce
,
w
h
e
n
t
h
e
v
alu
e
o
f
μ
an
d
/o
r
x
t
is
c
h
an
g
ed
,
its
d
y
n
a
m
ic
c
h
ar
ac
ter
is
t
ics
ar
e
s
aid
to
b
e
u
n
i
v
er
s
al.
E
x
a
m
p
le
s
o
f
t
h
ese
ch
ar
ac
ter
is
tic
s
ar
e
th
e
in
itial
c
o
n
d
itio
n
s
s
e
n
s
iti
v
it
y
,
th
e
r
o
u
te
to
ch
ao
s
b
y
p
er
io
d
d
o
u
b
lin
g
o
r
th
e
p
h
e
n
o
m
en
o
n
o
f
in
ter
m
it
ten
c
y
.
2
.
2
.
L
inea
r
co
ng
ruent
ia
l g
en
er
a
t
o
r
P
s
eu
d
o
-
r
an
d
o
m
n
u
m
b
er
s
g
e
n
e
r
atio
n
is
d
ef
i
n
ed
as
an
al
g
o
r
ith
m
t
h
at
allo
w
s
g
e
n
er
atin
g
s
eq
u
en
ce
s
o
f
n
u
m
b
er
s
w
it
h
s
o
m
e
r
an
d
o
m
n
e
s
s
p
r
o
p
er
ties
th
at
p
lay
a
r
elev
an
t
r
o
le
in
a
lar
g
e
n
u
m
b
er
o
f
ap
p
licatio
n
s
s
u
c
h
as
n
u
m
er
ical
s
i
m
u
latio
n
s
,
co
m
m
u
n
ica
tio
n
s
o
r
cr
y
p
to
g
r
ap
h
y
.
T
h
e
m
ai
n
ad
v
a
n
ta
g
es
o
f
t
h
ese
g
en
er
ato
r
s
ar
e
th
e
s
p
ee
d
an
d
r
ep
ea
tab
ilit
y
o
f
t
h
e
p
r
o
d
u
ce
d
p
s
eu
d
o
-
r
an
d
o
m
s
eq
u
en
ce
s
.
I
n
p
r
ac
tice,
p
s
eu
d
o
-
r
an
d
o
m
n
u
m
b
er
g
en
er
atio
n
is
n
o
t
a
tr
i
v
ial
i
s
s
u
e
an
d
th
e
r
a
n
d
o
m
n
ess
q
u
alit
y
in
t
h
e
p
r
o
d
u
ce
d
s
eq
u
en
ce
,
m
a
y
b
e
ess
e
n
tial
in
th
e
ap
p
licatio
n
ch
o
ice
[
1
6
]
.
I
n
a
lar
g
e
q
u
a
n
tit
y
o
f
cr
y
p
to
g
r
ap
h
ic
ap
p
licatio
n
s
w
h
er
e
k
e
y
s
a
n
d
ac
ce
s
s
co
d
es
ar
e
h
ig
h
l
y
i
m
p
o
r
tan
t,
th
e
s
e
g
en
er
ato
r
s
h
av
e
a
m
aj
o
r
r
o
le
.
I
n
f
ac
t,
o
n
e
o
f
th
e
o
l
d
est
an
d
s
im
p
le
s
t
g
en
er
ato
r
s
is
th
e
lin
ea
r
co
n
g
r
u
en
tial
g
e
n
er
ato
r
,
p
r
o
p
o
s
ed
b
y
D.
H.
L
eh
m
er
[
1
8
]
w
h
ic
h
,
u
s
i
n
g
a
n
in
itia
l
n
u
m
b
er
ca
lled
s
ee
d
,
ca
n
g
en
er
ate
a
s
eq
u
en
ce
b
y
r
ec
u
r
r
en
ce
u
n
d
er
th
e
r
elatio
n
s
h
ip
d
ef
i
n
ed
b
y
t
h
e
eq
u
at
io
n
:
m
m
o
d
c)
+
(
a
X
=
X
n
1
+
n
(
3
)
W
h
er
e
a,
Xn
a
n
d
c
m
u
s
t
b
e
g
r
ea
ter
th
an
ze
r
o
an
d
t
h
e
v
ar
ia
b
le
“m
”
m
u
s
t
b
e
a
p
r
i
m
e
n
u
m
b
er
lar
g
er
th
an
t
h
e
f
ir
s
t
th
r
ee
v
al
u
es.
T
h
is
t
y
p
e
o
f
g
e
n
er
ato
r
is
co
m
p
u
tatio
n
all
y
f
ast
an
d
ea
s
y
to
i
m
p
le
m
en
t
;
h
o
w
e
v
er
,
s
o
m
e
p
r
o
p
er
ties
lik
e
g
en
er
atio
n
o
f
v
alu
e
s
in
a
s
eq
u
en
ce
ex
h
i
b
it
a
m
ax
i
m
u
m
p
er
io
d
o
f
m
-
1
.
On
th
e
o
th
er
h
an
d
,
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.
9
,
No
.
2
,
A
p
r
il 2
0
1
9
:
1
3
9
9
-
1409
1402
th
e
s
eq
u
e
n
ce
s
p
r
o
d
u
ce
d
b
y
t
h
is
g
en
er
ato
r
ar
e
h
ig
h
l
y
s
en
s
itiv
e
to
ch
a
n
g
e
s
in
t
h
eir
p
ar
a
m
eter
s
,
w
h
ich
is
a
u
s
e
f
u
l p
r
o
p
er
ty
in
cr
y
p
to
g
r
ap
h
y
[
1
9
]
.
3.
E
XP
E
R
I
M
E
NT
A
L
CO
NSI
DE
RA
T
I
O
N
T
h
e
tw
o
m
et
h
o
d
s
d
escr
ib
ed
a
b
o
v
e
ar
e
c
o
m
b
i
n
ed
in
th
e
d
esig
n
o
f
th
e
p
r
o
p
o
s
ed
en
cr
y
p
tio
n
alg
o
r
ith
m
,
tak
i
n
g
ad
v
an
ta
g
e
o
f
th
e
m
ai
n
ch
ar
ac
ter
is
tic
s
in
ea
c
h
m
et
h
o
d
.
Su
ch
c
h
ar
ac
ter
is
tic
s
ar
e
th
e
p
r
o
ce
s
s
in
g
s
p
ee
d
an
d
th
e
lo
w
co
s
t,
in
ter
m
s
o
f
co
m
p
u
tatio
n
al
h
ar
d
w
ar
e
r
eso
u
r
ce
s
r
eq
u
ir
ed
.
L
o
g
i
s
tic
m
ap
d
e
f
in
ed
i
n
(
1
)
ex
h
ib
its
h
i
g
h
s
e
n
s
iti
v
it
y
to
in
itial
co
n
d
itio
n
s
,
w
h
ic
h
i
s
a
p
p
lied
f
o
r
p
ar
am
eter
t
u
n
in
g
a
n
d
to
g
e
n
er
ate
t
w
o
s
eq
u
e
n
ce
s
w
it
h
h
ig
h
l
y
r
an
d
o
m
p
r
o
p
er
ties
.
I
n
th
e
c
u
r
r
en
t
w
o
r
k
,
p
ar
am
eter
v
alu
e
s
ar
e
q
u
o
ted
in
th
e
i
n
ter
v
als
x
t
∈
(
0
,
1
)
an
d
μ
∈
(
3
.
8
5
,
4
)
t
o
f
o
r
ce
o
p
e
r
at
io
n
w
ith
i
n
t
h
e
ch
ao
s
zo
n
e
[
2
0
]
.
W
ith
in
th
e
s
e
in
ter
v
als,
alo
n
g
w
it
h
th
e
i
n
itial
c
o
n
d
itio
n
s
,
th
e
lo
g
i
s
tic
(
1
)
p
r
es
en
ts
a
n
d
m
ai
n
tai
n
s
ch
ao
tic
b
eh
a
v
io
r
;
t
h
u
s
,
s
er
ie
s
o
f
n
u
m
b
er
s
ar
e
g
e
n
er
ated
an
d
u
s
ed
as
c
h
ao
tic
s
ee
d
s
to
co
m
p
le
m
e
n
t
t
h
e
en
cr
y
p
tio
n
k
e
y
b
y
ap
p
l
y
i
n
g
a
“
co
n
f
u
s
io
n
tec
h
n
iq
u
e”
.
T
h
i
s
tech
n
iq
u
e
h
id
es
t
h
e
r
elatio
n
s
h
ip
s
b
et
w
ee
n
t
h
e
o
r
ig
in
al
i
n
f
o
r
m
atio
n
,
th
e
e
n
c
r
y
p
ted
o
n
e
a
n
d
t
h
e
g
e
n
er
ate
d
k
e
y
.
I
n
o
r
d
er
to
o
b
tain
t
w
o
p
s
e
u
d
o
-
r
an
d
o
m
s
eq
u
en
ce
g
en
er
ato
r
s
,
th
e
lo
g
is
tic
f
u
n
ctio
n
i
s
iter
ated
w
it
h
th
e
f
o
llo
w
in
g
p
ar
a
m
eter
s
an
d
in
itial
v
al
u
es:
μ
=3
.
8
9
an
d
x
0
=
0
.
0
0
4
9
9
f
o
r
t
h
e
f
ir
s
t
s
eq
u
e
n
ce
an
d
μ
=3
.
8
6
an
d
x
0
=
0
.
0
1
9
9
9
f
o
r
th
e
s
ec
o
n
d
s
eq
u
en
ce
.
T
h
ese
v
alu
e
s
ar
e
c
h
o
s
e
n
,
d
u
e
to
t
h
e
ir
s
i
m
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la
ted
ch
ao
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b
e
h
av
io
r
,
f
illi
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g
t
h
e
e
n
tire
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ated
m
ap
w
it
h
1
2
5
,
0
0
0
iter
atio
n
s
.
Mo
r
eo
v
er
,
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t
w
o
s
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u
e
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ce
g
e
n
er
ato
r
s
b
eh
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e
as
p
ar
a
m
eter
s
o
f
t
h
e
li
n
ea
r
co
n
g
r
u
en
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l
g
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ato
r
; th
er
e
f
o
r
e,
th
e
m
ix
t
u
r
e
g
en
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ated
is
u
s
e
f
u
l
f
o
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en
cr
y
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t
in
g
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tr
ic
p
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w
er
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n
s
u
m
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ig
n
al
s
.
I
n
Fig
u
r
e
2
,
th
e
b
lo
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d
iag
r
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m
co
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tai
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o
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ato
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o
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ith
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,
illu
s
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atin
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ct
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a
n
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d
th
e
C
o
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g
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e
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ato
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h
is
d
iag
r
a
m
r
ep
r
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u
r
e
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o
ll
o
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ed
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ate
t
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ce
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R
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a
n
d
GNP
R
2
)
,
u
s
ed
as
s
ee
d
s
w
it
h
u
n
p
r
ed
ictab
le
n
u
m
b
er
s
,
an
d
g
en
er
a
ted
th
r
o
u
g
h
a
o
n
e
-
d
i
m
e
n
s
io
n
al
lo
g
is
tic
m
ap
,
lo
ca
ted
in
a
ch
ao
tic
zo
n
e,
ev
alu
a
ted
b
y
L
y
ap
u
n
o
v
ex
p
o
n
en
t
s
,
k
ee
p
in
g
th
e
u
n
s
tab
le
b
eh
av
io
r
.
T
h
ese
s
eq
u
en
ce
s
ar
e
co
u
p
led
to
th
e
co
n
g
r
u
e
n
tia
l
g
en
er
ato
r
th
r
o
u
g
h
its
p
ar
a
m
eter
s
to
in
cr
ea
s
e
th
e
r
an
d
o
m
n
e
s
s
lev
e
l
in
t
h
e
g
en
er
ated
s
eq
u
en
ce
s
[
2
1
]
;
th
u
s
,
an
elec
tr
ical
en
er
g
y
co
n
s
u
m
p
tio
n
s
ig
n
al
w
as
en
cr
y
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ted
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r
o
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g
h
t
h
e
e
x
cl
u
s
iv
e
d
is
j
u
n
ctio
n
lo
g
ical
o
p
er
ato
r
X
OR
;
th
e
s
ig
n
al
w
a
s
b
o
th
s
i
m
u
lated
an
d
p
h
y
s
ical
l
y
i
m
p
le
m
e
n
ted
.
Su
b
s
eq
u
e
n
tl
y
,
th
e
in
f
o
r
m
a
tio
n
i
s
f
u
ll
y
en
cr
y
p
ted
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d
r
ea
d
y
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e
s
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t
w
ir
ele
s
s
l
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th
r
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g
h
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lik
e
l
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u
n
s
a
f
e
ch
an
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el
.
Fig
u
r
e
2
.
B
lo
ck
d
iag
r
a
m
:
p
s
eu
d
o
-
r
an
d
o
m
g
e
n
er
ato
r
alg
o
r
ith
m
(
a)
(
b
)
Fig
u
r
e
3
.
T
h
e
s
ch
e
m
e
o
f
t
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Si
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elec
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co
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s
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m
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b
y
s
i
m
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latio
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,
(b
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P
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1403
I
n
Fi
g
u
r
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3
,
th
e
s
i
g
n
al
m
ea
s
u
r
e
m
en
t
s
c
h
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m
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m
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li
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o
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m
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m
e
n
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io
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s
ch
e
m
e
is
s
h
o
w
n
in
Fi
g
u
r
e
3
(
b
)
,
r
ep
r
esen
ted
as
an
e
m
b
ed
d
ed
s
y
s
te
m
.
T
h
e
p
r
o
to
t
y
p
e
d
ev
elo
p
ed
in
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h
is
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s
ed
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ar
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s
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o
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ith
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m
(
P
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e
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ip
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ed
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it
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t
h
e
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ated
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n
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ec
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o
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it
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m
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h
e
r
ec
eiv
er
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e
r
f
o
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m
s
t
h
e
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n
v
er
s
e
o
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n
f
r
o
m
t
h
e
o
r
ig
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al
alg
o
r
ith
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s
tr
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h
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m
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ag
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o
m
th
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ed
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al.
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s
th
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er
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ata
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e
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ec
r
y
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tio
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ce
s
s
is
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y
s
i
m
ilar
to
th
at
o
f
e
n
cr
y
p
t
io
n
e
x
ce
p
t
t
h
at
m
et
h
o
d
s
ar
e
ap
p
lied
in
an
in
v
er
s
e
m
a
n
n
er
.
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h
e
g
en
er
al
m
o
d
el
o
f
th
e
p
r
o
p
o
s
ed
alg
o
r
ith
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,
a
co
m
b
i
n
atio
n
o
f
t
w
o
tech
n
iq
u
e
s
,
is
s
h
o
w
n
i
n
Fig
u
r
e
4
.
T
h
e
f
ir
s
t
tec
h
n
iq
u
e
i
s
th
e
lo
g
is
tic
m
ap
p
in
g
an
d
i
m
p
lies
h
i
g
h
s
e
n
s
i
tiv
it
y
to
s
li
g
h
t
ch
an
g
e.
T
h
e
s
ec
o
n
d
co
r
r
esp
o
n
d
s
to
th
e
co
n
g
r
u
en
t
i
al
g
en
er
ato
r
w
h
ic
h
is
f
e
d
b
y
th
e
f
ir
s
t
o
n
e.
L
ater
,
th
e
f
lo
w
i
n
g
elec
tr
ic
en
er
g
y
co
n
s
u
m
p
tio
n
d
ata
ar
e
en
cr
y
p
t
ed
w
h
ile
th
e
d
ata
is
f
lo
w
in
g
,
b
y
a
n
XOR
o
p
er
atio
n
b
ew
tee
n
th
e
p
s
eu
d
o
-
r
an
d
o
m
s
eq
u
en
ce
a
n
d
elec
tr
ic
co
n
s
u
m
p
tio
n
d
ata.
F
ig
u
r
e
4
.
A
l
g
o
r
ith
m
f
lo
w
d
ia
g
r
a
m
4.
RE
SU
L
T
S
I
n
th
is
s
ec
tio
n
,
w
e
p
er
f
o
r
m
a
n
an
al
y
s
i
s
w
it
h
d
i
f
f
er
e
n
t
s
tatis
t
i
ca
l
to
o
ls
to
ev
al
u
ate
f
o
u
r
c
h
ar
ac
ter
is
tics
:
in
d
ep
en
d
en
ce
,
u
n
i
f
o
r
m
i
t
y
,
d
is
t
r
ib
u
tio
n
an
d
co
r
r
elatio
n
b
et
w
e
en
s
u
cc
ess
io
n
cip
h
er
d
ata.
4
.
1
.
P
s
eudo
-
ra
nd
o
m
g
ener
a
t
o
r
A
p
s
e
u
d
o
-
r
an
d
o
m
g
e
n
er
ato
r
to
s
tr
en
g
th
e
n
t
h
e
d
ata
s
ec
u
r
it
y
i
s
r
ep
o
r
ted
,
b
ased
o
n
th
e
lo
g
is
tic
m
ap
an
d
th
e
lin
ea
r
co
n
g
r
u
en
tial
g
e
n
er
ato
r
r
ev
ie
w
ed
in
S
ec
tio
n
s
2
.
1
,
2
.
2
an
d
3
.
Fu
r
th
er
m
o
r
e,
in
o
r
d
er
to
m
ai
n
tai
n
th
e
b
alan
ce
b
et
w
ee
n
s
ec
u
r
it
y
a
n
d
p
er
f
o
r
m
a
n
ce
f
o
r
th
e
co
s
t
e
f
f
ec
tiv
e
u
s
a
g
e
o
f
co
m
p
u
ta
tio
n
al
r
e
s
o
u
r
ce
s
,
e
m
b
ed
d
ed
alg
o
r
ith
m
i
m
p
le
m
e
n
tat
io
n
is
a
ls
o
p
r
esen
ted
.
T
o
ev
alu
ate
t
h
e
e
n
cr
y
p
tio
n
a
lg
o
r
ith
m
j
u
s
t
p
r
o
p
o
s
ed
,
s
et
f
o
r
p
r
o
ce
s
s
in
g
e
lectr
ical
e
n
er
g
y
an
d
d
ata
s
ig
n
al
s
f
r
o
m
d
ig
ital
elec
tr
ic
m
eter
s
in
s
m
ar
t
g
r
id
s
,
a
6
0
Hz
al
ter
n
ati
n
g
-
c
u
r
r
en
t
test
cir
cu
it
is
d
esig
n
ed
in
w
h
ic
h
th
e
v
o
lta
g
e
a
n
d
cu
r
r
en
t
ar
e
m
ea
s
u
r
ed
to
ca
lcu
late
t
h
e
p
o
w
e
r
as
w
ell
a
s
th
e
e
n
er
g
y
co
n
s
u
m
ed
b
y
a
r
esis
ti
v
e
lo
ad
.
T
h
e
elec
tr
ic
p
o
w
er
co
n
s
u
m
p
tio
n
s
i
g
n
a
l
o
b
tain
ed
i
s
s
h
o
w
n
in
Fi
g
u
r
e
2
(
b
)
,
w
h
er
e
t
h
e
r
esi
s
ti
v
e
lo
ad
i
s
1
4
4
Ω
.
Fo
r
th
is
d
e
m
o
n
s
tr
ati
v
e
ca
s
e,
o
n
l
y
t
h
e
en
er
g
y
co
n
s
u
m
p
tio
n
is
p
r
esen
ted
o
v
er
th
e
co
u
r
s
e
o
f
1
0
s
ec
o
n
d
s
.
On
e
o
f
th
e
m
o
s
t
co
m
m
o
n
atta
ck
s
is
th
e
b
r
u
te
-
f
o
r
ce
attac
k
,
i
n
w
h
ic
h
all
p
o
s
s
ib
le
co
m
b
in
at
io
n
s
o
f
th
e
en
cr
y
p
tio
n
k
e
y
ar
e
tr
ied
.
As
en
cr
y
p
tio
n
k
e
y
o
f
len
g
t
h
1
2
8
b
its
o
r
m
o
r
e
is
co
n
s
id
er
ed
s
ec
u
r
e
ag
ai
n
s
t
b
r
u
te
f
o
r
ce
attac
k
s
[
3
]
,
[
2
2
]
,
in
th
e
p
r
o
p
o
s
ed
cr
y
p
to
g
r
ap
h
ic
al
g
o
r
it
h
m
,
th
e
k
e
y
s
p
ac
e
is
2
n
,
w
h
er
e
n
is
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I
SS
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&
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[
2
4
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3
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2
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.
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
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8708
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[
2
5
]
.
I
n
th
is
s
en
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e,
en
tr
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4
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3
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I
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Ŷ
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ld
s
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(
a)
(
b
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Fig
u
r
e
7
.
Sig
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s
[
2
6
]
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m
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ce
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s
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
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m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
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s
eu
d
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1407
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in
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1
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o
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th
a
t
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ST
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r
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en
cr
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p
tio
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r
ith
m
;
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s
in
t
h
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p
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to
t
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th
e
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test
s
h
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w
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a
l
o
w
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v
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w
h
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ass
u
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ter
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cir
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it
4
.
6
.
Cry
pt
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s
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t
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m
t
ests o
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m
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lena
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s
s
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e
p
r
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p
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s
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lg
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r
ith
m
s
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[1
]
M
.
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,
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m
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En
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in
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]
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.
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ríg
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l
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]
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.
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Da
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ra
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.
El
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A
.
Be
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u
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.
[5
]
J.
Ko
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g
,
L
.
A
n
g
a
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d
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S
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g
,
"
A
Co
m
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[6
]
Z.
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ra
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a
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G
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G
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y
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r
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in
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m
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rid
:
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u
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s,
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mp
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v
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l.
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,
p
p
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1
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[7
]
M
.
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p
p
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2
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[8
]
F
.
Bo
rg
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s d
e
Oliv
e
ira,
"
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s
,"
2
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]
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.
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,
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.
Ei
b
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En
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,
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ra
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ma
rt
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l
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0
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In
ter
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p
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1
]
C.
Ro
tt
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i
a
n
d
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.
V
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rti
c
a
le,
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f
rien
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ly
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d
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li
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terru
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p
p
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n
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in
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m
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r
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l.
5
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p
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2
]
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.
T
a
n
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.
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Niu
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se
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rid
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ter
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3
]
Y.
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n
slim
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n
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n
d
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A
h
m
e
d
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Eff
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to
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ter
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ter
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p
.
3
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3
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0
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7
[1
4
]
S
.
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sa
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R
.
A
lh
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d
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Ch
il
a
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k
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a
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d
,
"
A
su
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rid
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tu
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Clu
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8
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5
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.
S
h
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p
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1
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12
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p
p
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.
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