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ed
to
i
d
en
tify
a
s
ec
o
n
d
-
o
r
d
er
u
n
d
er
d
am
p
ed
s
y
s
te
m
p
l
u
s
d
ea
d
tim
e
,
b
ased
o
n
th
e
s
tep
r
esp
o
n
s
e
[
1
5
]
.
I
n
p
ar
allel
w
ith
th
e
m
et
h
o
d
s
s
t
u
d
ied
,
th
e
Ma
tl
ab
PID
T
u
n
er
w
as
u
s
ed
to
id
en
ti
f
y
t
h
e
s
y
s
te
m
s
u
n
d
er
s
tu
d
y
f
r
o
m
a
s
e
t o
f
ex
p
er
i
m
en
tal
d
ata
[
1
6
]
.
I
n
t
h
e
liter
at
u
r
e,
th
er
e
ar
e
i
n
v
e
s
ti
g
atio
n
s
i
n
w
h
ic
h
id
e
n
ti
f
icatio
n
tec
h
n
iq
u
es
h
a
v
e
b
ee
n
u
s
ed
i
n
o
v
er
d
a
m
p
ed
an
d
u
n
d
er
d
a
m
p
ed
s
y
s
te
m
s
.
I
n
t
h
e
w
o
r
k
d
o
n
e
i
n
[
1
7
]
,
a
P
I
D
tu
n
i
n
g
m
e
th
o
d
o
lo
g
y
w
as p
r
o
p
o
s
ed
to
o
b
tain
th
e
m
at
h
e
m
atica
l
m
o
d
el
o
f
h
i
g
h
-
o
r
d
er
p
lan
ts
w
it
h
o
s
cillati
n
g
d
y
n
a
m
ics.
T
h
e
r
ese
ar
ch
er
s
in
[
1
8
]
u
s
ed
d
if
f
er
e
n
t
n
o
n
-
p
ar
a
m
etr
ic
id
e
n
ti
f
icatio
n
m
et
h
o
d
s
ap
p
lied
in
a
li
n
ea
r
p
r
ess
u
r
e
p
r
o
ce
s
s
.
T
h
e
r
esu
l
ts
w
er
e
ev
alu
a
ted
in
ter
m
s
o
f
p
er
f
o
r
m
an
ce
in
d
ice
s
s
u
c
h
as
m
o
d
elin
g
ti
m
e
an
d
t
h
e
I
A
E
.
T
h
e
au
th
o
r
s
i
n
[
1
9
]
u
s
ed
n
o
n
-
p
ar
a
m
etr
ic
tech
n
iq
u
e
s
f
o
r
m
o
d
elin
g
p
o
w
er
c
u
r
v
e
s
o
f
a
w
i
n
d
t
u
r
b
in
e.
T
h
e
r
es
u
lt
s
o
b
tain
ed
w
er
e
co
n
tr
asted
w
it
h
d
ata
f
r
o
m
a
w
in
d
f
ar
m
i
n
C
an
ad
a.
I
n
t
h
e
s
a
m
e
f
ield
o
f
ap
p
licatio
n
,
th
e
au
t
h
o
r
s
in
[
2
0
]
u
s
ed
n
o
n
-
p
ar
a
m
etr
ic
m
et
h
o
d
s
f
o
r
in
t
er
h
ar
m
o
n
ic
e
s
ti
m
atio
n
i
n
p
h
o
to
v
o
ltaic
s
y
s
te
m
s
.
Fin
all
y
,
i
n
t
h
e
w
o
r
k
d
e
v
elo
p
ed
in
[
2
1
]
th
e
m
o
d
eli
n
g
o
f
li
n
ea
r
s
y
s
te
m
s
w
it
h
n
o
n
-
p
ar
a
m
etr
ic
m
et
h
o
d
s
w
a
s
p
er
f
o
r
m
ed
,
f
o
r
w
h
ich
p
er
io
d
ic
ex
citatio
n
s
i
g
n
al
s
w
er
e
u
s
ed
.
I
n
ad
d
itio
n
to
t
h
e
ab
o
v
e,
r
ese
ar
ch
h
as
r
ec
e
n
tl
y
b
ee
n
ca
r
r
ied
o
u
t
u
s
in
g
s
o
f
t
co
m
p
u
ti
n
g
tec
h
n
iq
u
es
to
p
er
f
o
r
m
n
o
n
-
p
ar
a
m
etr
ic
id
en
t
if
icatio
n
o
f
d
y
n
a
m
ic
s
y
s
te
m
s
.
T
h
e
au
th
o
r
s
in
[
2
2
]
m
ad
e
th
e
id
en
tif
icat
io
n
o
f
a
liq
u
id
s
lo
s
h
p
lan
t
u
s
in
g
th
e
Ha
m
m
er
s
te
in
m
o
d
el
b
ased
o
n
t
h
e
Gr
e
y
W
o
lf
Op
ti
m
izer
m
et
h
o
d
.
T
h
e
r
esu
lts
o
b
tain
ed
d
em
o
n
s
tr
ated
th
a
t th
e
p
r
o
p
o
s
ed
g
en
er
ic
m
o
d
el
h
as
g
o
o
d
p
o
ten
tial to
id
en
tify
th
is
t
y
p
e
o
f
p
r
o
ce
s
s
.
I
n
[
2
3
]
th
e
au
th
o
r
s
p
r
o
p
o
s
ed
an
i
m
p
r
o
v
ed
v
er
s
io
n
o
f
t
h
e
Si
n
e
C
o
s
i
n
e
A
l
g
o
r
ith
m
,
i
n
o
r
d
er
t
o
ac
q
u
ir
e
an
d
o
p
ti
m
ize
a
d
y
n
a
m
ic
m
o
d
e
l
f
o
r
a
t
w
i
n
r
o
to
r
s
y
s
te
m
,
w
it
h
w
h
ic
h
g
o
o
d
p
er
f
o
r
m
a
n
ce
a
n
d
ex
ce
lle
n
t
p
r
ec
is
io
n
in
th
e
p
r
o
ce
s
s
o
f
id
en
ti
f
icatio
n
w
a
s
o
b
tain
ed
.
Fu
r
th
er
m
o
r
e,
th
e
r
esear
ch
er
s
i
n
[
2
4
]
p
r
o
p
o
s
ed
a
n
o
v
el
m
e
th
o
d
f
o
r
th
e
id
en
ti
f
ica
tio
n
o
f
b
ili
n
ea
r
s
y
s
te
m
s
w
i
th
Gau
s
s
ia
n
n
o
is
e
s
.
Fi
n
all
y
,
i
n
[
2
5
]
th
e
au
t
h
o
r
s
p
r
ese
n
ted
a
co
m
p
r
eh
e
n
s
iv
e
r
e
v
ie
w
o
f
t
h
e
co
m
p
u
tatio
n
a
l te
ch
n
iq
u
e
s
u
s
e
d
in
th
e
liter
at
u
r
e
t
o
id
en
ti
f
y
n
o
n
lin
ea
r
s
y
s
te
m
s
.
T
ak
in
g
i
n
to
ac
co
u
n
t
th
e
li
ter
atu
r
e
r
ev
ie
w
,
t
h
is
w
o
r
k
p
r
o
p
o
s
es
as
a
n
o
v
e
lt
y
t
h
e
i
n
te
g
r
atio
n
o
f
m
et
h
o
d
s
th
at
u
s
e
t
w
o
a
n
d
th
r
ee
p
o
in
ts
o
f
th
e
s
tep
r
esp
o
n
s
e
c
u
r
v
e
to
i
m
p
le
m
en
t
th
e
id
e
n
ti
f
icatio
n
p
r
o
ce
s
s
.
T
h
e
r
esu
lt
s
o
b
tain
ed
in
te
r
m
s
o
f
p
er
f
o
r
m
an
ce
in
d
ice
s
ar
e
h
i
g
h
li
g
h
ted
.
T
h
is
p
ap
er
is
o
r
g
an
ized
as
f
o
llo
w
s
:
in
s
ec
tio
n
2
th
e
m
ater
ia
ls
an
d
m
e
th
o
d
s
ar
e
p
r
esen
ted
,
in
w
h
ic
h
th
e
id
e
n
ti
f
icatio
n
m
et
h
o
d
s
ap
p
lied
i
n
o
n
e
s
ec
o
n
d
o
r
d
er
s
y
s
te
m
p
l
u
s
d
ea
d
ti
m
e
ar
e
d
e
tailed
.
I
n
s
ec
tio
n
3
,
th
e
r
es
u
lt
s
an
d
th
e
an
al
y
s
i
s
o
f
th
e
m
o
d
els
ar
e
p
r
esen
ted
,
u
s
i
n
g
r
ef
er
en
ce
p
ar
a
m
eter
s
s
u
ch
as
th
e
I
A
E
,
co
r
r
elatio
n
co
ef
f
icie
n
t
an
d
cr
o
s
s
co
r
r
elatio
n
.
Fin
all
y
,
co
n
clu
s
io
n
s
an
d
r
ef
er
en
ce
s
ar
e
p
r
esen
ted
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
2
.
1
.
Underda
m
pe
d sy
s
t
e
m
Fo
r
th
is
ca
s
e,
3
0
9
s
a
m
p
les
o
f
a
v
ar
iab
le
o
f
te
m
p
er
atu
r
e
f
r
o
m
a
co
al
-
h
ea
ted
o
v
e
n
wer
e
u
s
ed
.
Data
w
er
e
ac
q
u
ir
ed
in
a
p
r
o
to
t
y
p
e
o
v
en
o
w
n
ed
b
y
t
h
e
Ma
g
m
a
I
n
g
e
n
ier
ía
r
esear
ch
g
r
o
u
p
at
th
e
U
n
i
v
er
s
id
ad
d
el
Ma
g
d
alen
a,
f
o
r
w
h
ich
an
A
r
d
u
i
n
o
Un
o
b
o
ar
d
a
n
d
a
PT
-
1
0
0
te
m
p
er
atu
r
e
s
en
s
o
r
w
er
e
u
s
ed
.
T
h
e
te
m
p
er
atu
r
e
v
al
u
es
w
er
e
s
to
r
ed
in
t
h
e
A
r
d
u
i
n
o
b
o
a
r
d
m
e
m
o
r
y
w
i
th
a
s
a
m
p
li
n
g
ti
m
e
o
f
0
.
1
s
a
n
d
a
r
eso
lu
tio
n
o
f
1
0
b
its
.
T
h
ese
d
ata
ar
e
av
ailab
le
in
a
f
ile
with
a
m
at
ex
ten
s
io
n
t
h
at
w
a
s
i
m
p
o
r
ted
to
Ma
tlab
u
s
i
n
g
th
e
lo
ad
co
m
m
a
n
d
.
T
h
e
te
m
p
er
atu
r
e
d
ata
w
a
s
p
lo
tted
to
an
al
y
ze
t
h
e
b
eh
a
v
io
r
i
n
t
h
e
ti
m
e
d
o
m
ai
n
.
Fig
u
r
e
1
s
h
o
w
s
t
h
at
t
h
e
d
ata
n
ee
d
s
to
b
e
f
ilter
ed
in
o
r
d
er
to
o
b
tain
th
e
m
ath
e
m
at
ical
m
o
d
e
l o
f
th
e
p
r
o
ce
s
s
.
Af
ter
a
d
ata
an
al
y
s
is
,
r
ep
ea
te
d
v
alu
e
s
i
n
s
o
m
e
ti
m
e
i
n
ter
v
a
ls
w
er
e
d
etec
ted
.
I
n
ad
d
itio
n
,
it
ca
n
b
e
s
ee
n
t
h
at
th
e
te
m
p
er
at
u
r
e
is
t
ak
in
g
n
e
g
ati
v
e
v
a
lu
e
s
.
D
u
e
t
o
th
e
n
atu
r
e
o
f
t
h
e
p
r
o
ce
s
s
,
t
h
ese
v
al
u
es
ar
e
n
o
t
ad
m
is
s
ib
le
an
d
m
u
s
t
b
e
r
e
m
o
v
ed
f
r
o
m
th
e
d
ata
v
ec
to
r
.
T
o
elim
in
ate
t
h
e
n
e
g
ati
v
e
d
ata,
th
e
y
w
er
e
f
ir
s
t
r
ep
lace
d
b
y
0
an
d
t
h
en
a
li
n
e
ar
in
ter
p
o
latio
n
w
as
p
er
f
o
r
m
e
d
.
T
h
e
r
esu
lt
s
ar
e
s
h
o
w
n
in
F
ig
u
r
e
2
,
i
n
w
h
ich
it
ca
n
b
e
s
ee
n
th
at
t
h
er
e
ar
e
n
o
n
eg
ati
v
e
te
m
p
er
at
u
r
e
d
ata,
b
u
t
it
is
s
til
l
n
ec
es
s
ar
y
to
ap
p
l
y
a
f
ilter
i
n
g
s
ta
g
e
b
ef
o
r
e
p
r
o
ce
e
d
in
g
w
it
h
t
h
e
ap
p
licatio
n
o
f
t
h
e
id
en
ti
f
icatio
n
m
et
h
o
d
s
.
Fo
r
th
e
f
ilter
i
n
g
,
a
ze
r
o
-
p
h
a
s
e
f
ilter
[
2
6
]
w
as
i
m
p
le
m
en
ted
,
w
h
ic
h
co
n
s
is
t
s
o
f
m
a
k
i
n
g
t
h
e
av
er
ag
e
at
ea
ch
p
o
in
t
w
it
h
th
e
s
u
r
r
o
u
n
d
i
n
g
p
o
in
t
s
.
I
f
t
h
is
av
er
a
g
e
i
s
m
ad
e
ex
ac
tl
y
o
v
er
a
p
er
io
d
o
f
t
h
e
f
r
eq
u
e
n
c
y
to
b
e
eli
m
i
n
ated
,
an
av
er
ag
e
is
b
ein
g
m
ad
e
o
v
er
th
e
p
er
io
d
an
d
th
er
ef
o
r
e
th
e
co
n
tr
ib
u
tio
n
o
f
th
i
s
f
r
eq
u
en
c
y
w
it
h
all
its
h
ar
m
o
n
ics
i
s
eli
m
i
n
ated
.
T
h
e
ap
p
r
o
p
r
iate
Ma
tlab
f
u
n
c
tio
n
to
ap
p
l
y
t
h
i
s
f
ilter
is
th
e
f
ilt
f
il
t
f
u
n
ctio
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t
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RE
F
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NC
ES
[1
]
C.
L
o
re
n
z
in
i,
e
t
a
l.
,
"
T
h
e
g
e
n
e
r
a
li
z
e
d
f
o
rc
e
d
o
sc
il
latio
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m
e
th
o
d
f
o
r
tu
n
in
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P
ID
c
o
n
tro
ll
e
rs,"
IS
A
T
ra
n
s
a
c
ti
o
n
s,
v
o
l.
8
7
,
p
p
.
6
8
-
8
7
,
2
0
1
9
.
[2
]
W
.
A
riz
a
Ra
m
ir
e
z
,
e
t
a
l.
,
"
No
n
-
p
a
ra
m
e
tri
c
d
y
n
a
m
ic
s
y
ste
m
id
e
n
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f
ica
ti
o
n
o
f
sh
ip
s
u
sin
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lt
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u
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t
G
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ian
P
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s,"
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g
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v
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l.
1
6
6
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[3
]
S
.
A
b
ra
sh
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v
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e
t
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l.
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ti
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,
"
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mu
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0
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p
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9
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.
[4
]
E.
O.
Ko
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e
t
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l.
,
"
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d
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l
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s,"
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ter
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C.
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.
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in
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re
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p
.
4
0
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.
[6
]
P
.
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ra
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k
P
a
i,
"
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re
q
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e
n
c
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ly
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m
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p
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.
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]
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Uy
a
n
ık
,
e
t
a
l.
,
"
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a
ra
m
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tri
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m
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"
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C
-
Pa
p
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On
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v
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l.
4
9
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p
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2
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0
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.
[8
]
K.
Dz
ied
z
iec
h
,
e
t
a
l.
,
"
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m
b
in
e
d
n
o
n
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p
a
ra
m
e
tri
c
a
n
d
p
a
ra
m
e
t
ric
a
p
p
ro
a
c
h
f
o
r
id
e
n
ti
f
ica
ti
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n
o
f
ti
m
e
-
v
a
rian
t
s
y
ste
m
s,"
M
e
c
h
a
n
ica
l
S
y
ste
ms
a
n
d
S
i
g
n
a
l
Pr
o
c
e
ss
in
g
,
v
o
l.
1
0
3
,
p
p
.
2
9
5
-
3
1
1
,
2
0
1
8
.
[9
]
R.
V
o
o
rh
o
e
v
e
,
e
t
a
l.
,
"
No
n
-
p
a
ra
m
e
tri
c
id
e
n
ti
f
ica
ti
o
n
o
f
m
u
lt
iv
a
ri
a
b
le
s
y
ste
m
s:
A
lo
c
a
l
ra
ti
o
n
a
l
m
o
d
e
li
n
g
a
p
p
ro
a
c
h
w
it
h
a
p
p
li
c
a
ti
o
n
t
o
a
v
ib
ra
ti
o
n
iso
latio
n
b
e
n
c
h
m
a
rk
,
"
M
e
c
h
a
n
ica
l
S
y
ste
ms
a
n
d
S
i
g
n
a
l
Pro
c
e
ss
in
g
,
v
o
l
.
1
0
5
,
p
p
.
1
2
9
-
1
5
2
,
2
0
1
8
.
[1
0
]
T
.
C.
Yu
a
n
,
e
t
a
l.
,
"
No
n
p
a
ra
m
e
tri
c
id
e
n
ti
f
ica
ti
o
n
o
f
n
o
n
li
n
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a
r
p
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lec
tri
c
m
e
c
h
a
n
ica
l
s
y
ste
m
s,"
J
o
u
rn
a
l
o
f
Ap
p
li
e
d
M
e
c
h
a
n
ics
,
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ra
n
sa
c
ti
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n
s
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M
E,
v
o
l
.
8
5
,
p
p
.
1
-
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3
,
2
0
1
8
.
[1
1
]
A
.
Kle
p
k
a
a
n
d
T
.
Uh
l,
"
Id
e
n
ti
f
ica
ti
o
n
o
f
m
o
d
a
l
p
a
ra
m
e
ters
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f
n
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sta
ti
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ry
s
y
st
e
m
s
w
it
h
th
e
u
se
o
f
w
a
v
e
let
b
a
se
d
a
d
a
p
ti
v
e
f
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terin
g
,
"
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e
c
h
a
n
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l
S
y
ste
ms
a
n
d
S
ig
n
a
l
Pro
c
e
ss
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,
v
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l.
4
7
,
p
p
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2
1
-
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4
,
2
0
1
4
.
[1
2
]
Y.
M
u
ñ
o
z
,
e
t
a
l.
,
"
Im
p
le
m
e
n
tatio
n
o
f
a
f
re
q
u
e
n
c
y
c
o
n
tro
l
i
n
a
b
io
m
a
ss
g
a
si
f
ier
s
y
st
e
m
,
"
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
C
o
mp
u
ter
En
g
in
e
e
rin
g
(
IJ
ECE
),
v
o
l.
9
,
n
o
.
1
,
p
p
.
6
6
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7
7
,
2
0
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9
.
[1
3
]
V
.
V
o
lk
o
v
a
,
"
De
v
e
lo
p
m
e
n
t
o
f
m
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th
o
d
s
f
o
r
n
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tri
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n
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o
f
m
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o
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m
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m
s,
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1
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h
In
ter
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S
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c
Co
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1
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[1
4
]
V
.
A
lf
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ro
,
"
Id
e
n
ti
f
ica
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3
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8
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C.
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.
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9
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J.
L
iu
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t
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o
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In
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.
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0
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Y.
Zh
a
n
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,
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t
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l.
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e
a
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latio
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f
f
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B
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AUTH
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RS
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s
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