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is
f
o
u
n
d
as
t
h
e
b
est
t
h
en
t
h
e
f
ilter
ed
ac
o
u
s
t
ic
s
i
g
n
a
l
f
r
o
m
t
h
e
E
DM
d
e
-
n
o
is
i
n
g
i
s
u
s
ed
f
o
r
th
e
f
u
r
th
er
p
r
o
ce
s
s
i
n
g
a
n
d
an
al
y
s
i
s
.
T
h
e
an
al
y
s
i
s
to
d
etec
t
th
e
f
au
l
t
i
s
d
o
n
e
i
n
t
i
m
e,
f
r
eq
u
e
n
c
y
an
d
T
im
e
-
f
r
eq
u
en
c
y
d
o
m
ain
.
Fo
r
t
h
is
ex
p
er
i
m
e
n
t
o
n
e
h
ea
lt
h
y
b
ea
r
in
g
an
d
t
h
r
ee
d
ef
ec
ti
v
e
b
ea
r
in
g
i
s
u
s
ed
.
1
.1
Act
iv
e
no
is
e
ca
ncella
t
io
n
A
cti
v
e
n
o
i
s
e
ca
n
ce
llatio
n
i
s
u
s
ed
f
o
r
t
h
e
p
r
e
p
r
o
ce
s
s
in
g
o
f
th
e
ac
o
u
s
tic
s
i
g
n
al.
A
co
u
s
t
ic
s
ig
n
al
s
ar
e
al
w
a
y
s
co
n
ta
m
i
n
ated
w
i
th
n
o
i
s
es
a
n
d
o
th
er
ex
ter
n
al
i
n
ter
f
er
en
ce
s
,
w
h
ic
h
m
u
s
t
b
e
r
e
m
o
v
e
d
o
r
f
ilter
ed
b
ef
o
r
e
f
u
r
t
h
er
p
r
o
ce
s
s
in
g
a
n
d
an
al
y
s
i
s
.
1
.
1
.
1.
L
M
S d
e
-
no
is
ing
T
h
e
least
m
ea
n
s
q
u
ar
e
(
L
M
S)
alg
o
r
ith
m
is
u
s
ed
as a
d
e
-
n
o
is
i
n
g
to
o
l f
o
r
th
e
ANC.
I
t is
u
s
ed
to
u
p
d
ate
th
e
ad
ap
tiv
e
f
ilter
co
ef
f
icie
n
t
s
as:
(
1
)
(
)
(
1
)
(
)
ll
w
n
w
n
x
n
e
n
(
1
)
T
h
e
A
NC
s
tep
s
u
s
i
n
g
t
h
e
L
ea
s
t
M
ea
n
S
q
u
ar
e
al
g
o
r
ith
m
is
e
x
p
lain
ed
b
r
ief
l
y
a
s
f
o
llo
w
s
[
1
1
]
:
a)
T
h
e
s
elec
tio
n
o
f
t
h
e
s
tep
s
ize
an
d
th
e
f
ilter
len
g
t
h
L
is
m
ad
e.
b)
T
h
e
o
u
tp
u
t o
f
th
e
ad
ap
tiv
e
f
ilt
er
is
ca
lcu
lated
as
1
0
(
)
(
)
(
1
)
L
l
l
y
n
w
n
x
n
c)
T
h
e
er
r
o
r
s
ig
n
al
i
s
ca
lcu
la
ted
as
(
)
(
)
(
)
e
n
d
n
y
n
d)
T
h
e
co
ef
f
icie
n
ts
o
f
t
h
e
ad
ap
tiv
e
f
ilter
is
u
p
d
ated
b
y
u
s
i
n
g
t
h
e
f
o
llo
w
in
g
f
o
r
m
u
la
:
(
1
)
(
)
(
)
(
)
ll
w
n
w
n
x
n
l
e
n
,
w
h
er
e
0
,
1
.
.
.
.
.
,
1
lL
.
T
h
e
s
elec
tio
n
o
f
t
h
e
s
tep
s
ize
v
alu
e
is
v
er
y
i
m
p
o
r
tan
t a
s
it a
f
f
ec
ts
t
h
e
co
n
v
er
g
en
ce
s
p
ee
d
.
T
h
e
p
r
o
p
er
s
elec
tio
n
o
f
f
ilter
le
n
g
th
i
s
also
v
er
y
i
m
p
o
r
tan
t
[
1
2
]
.
1
.
1
.
2
.
E
m
p
irica
l
m
o
de
deco
m
po
s
it
i
o
n
T
h
is
is
an
o
t
h
er
ad
ap
tiv
e
al
g
o
r
ith
m
u
s
ed
f
o
r
n
o
i
s
e
ca
n
ce
lla
tio
n
.
T
h
is
is
s
u
itab
le
w
h
e
n
t
h
e
n
o
is
e
i
s
n
o
n
-
s
tat
io
n
ar
y
i
n
n
atu
r
e.
T
h
is
alg
o
r
ith
m
is
b
ase
d
o
n
e
m
p
ir
ical
b
asis
f
u
n
ctio
n
s
.
T
h
e
o
r
ig
in
al
s
i
g
n
al
(
)
is
d
ec
o
m
p
o
s
ed
i
n
to
th
e
s
et
{
}
w
h
er
e
r
ep
r
esen
t
in
tr
i
n
s
ic
m
o
d
e
f
u
n
ctio
n
s
(
I
MF)
an
d
ar
e
r
esid
u
al
ter
m
s
.
(
)
∑
(
)
(
)
(
2
)
T
h
e
E
m
p
ir
ical
m
o
d
e
d
ec
o
m
p
o
s
itio
n
is
an
ad
ap
tiv
e
m
et
h
o
d
to
r
ec
o
g
n
ize
o
s
cillatio
n
s
f
r
o
m
th
e
s
ig
n
al
(
)
.
L
ik
e
d
is
cr
ete
w
a
v
elet
tr
an
s
f
er
,
E
MD
m
et
h
o
d
d
ec
o
m
p
o
s
e
a
s
ig
n
a
l
in
to
s
o
-
ca
lled
in
tr
in
s
ic
m
o
d
e
f
u
n
ctio
n
s
(
I
MF)
.
1
.
1
.
3.
Wa
v
elet
d
e
-
no
is
ing
T
h
is
tech
n
iq
u
e
is
o
n
e
o
f
th
e
m
o
s
t
p
o
p
u
lar
an
d
ef
f
icie
n
t
te
ch
n
iq
u
es
f
o
r
th
e
f
ilter
in
g
o
f
t
h
e
n
o
is
e.
I
t
s
tar
ts
w
i
th
th
e
d
ec
o
m
p
o
s
itio
n
o
f
t
h
e
s
ig
n
al
in
to
s
u
cc
e
s
s
i
v
e
ap
p
r
o
x
i
m
atio
n
an
d
d
etail
s
.
W
av
elet
d
e
-
n
o
is
i
n
g
p
er
f
o
r
m
s
co
r
r
elatio
n
a
n
al
y
s
is
.
T
h
e
ex
p
ec
ted
v
alu
e
o
f
t
h
e
o
u
tp
u
t
tu
r
n
o
u
t
to
b
e
m
ax
i
m
u
m
i
f
t
h
e
in
p
u
t
n
o
is
y
s
ig
n
al
lo
o
k
s
a
lo
t
lik
e
th
e
p
ick
ed
m
o
t
h
er
w
a
v
elet
f
u
n
ctio
n
.
As
th
e
w
av
ele
t
tr
an
s
f
o
r
m
is
li
n
e
ar
it
w
o
r
k
s
b
est
f
o
r
th
e
ad
d
itiv
e
n
o
is
e.
1
.
2
.
T
i
m
e
do
m
a
i
n study
I
n
ti
m
e
d
o
m
ai
n
an
al
y
s
i
s
th
e
s
tatis
tical
f
ea
tu
r
e
s
ar
e
co
m
p
u
ted
f
r
o
m
th
e
v
ib
r
atio
n
s
ig
n
atu
r
e.
B
y
co
m
p
ar
i
n
g
t
h
e
s
e
s
tati
s
tical
f
ea
tu
r
es
t
h
e
f
a
u
lt
s
i
n
th
e
s
y
s
te
m
ca
n
b
e
id
en
ti
f
ied
.
T
h
e
s
tatis
tic
al
p
ar
am
eter
s
u
s
ed
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
5
,
Octo
b
er
2
0
1
8
:
3
5
6
0
–
3
5
6
7
3562
f
o
r
th
e
t
i
m
e
d
o
m
ain
an
al
y
s
is
a
r
e
R
MS,
s
k
e
w
n
es
s
,
m
ea
n
,
p
ea
k
v
a
lu
e,
cr
es
t
f
ac
to
r
,
k
u
r
to
s
i
s
,
s
tan
d
ar
d
d
ev
iatio
n
,
clea
r
an
ce
f
ac
to
r
,
i
m
p
u
ls
e
f
ac
to
r
an
d
s
h
ap
e
f
ac
to
r
.
1
.
3
.
F
re
qu
ency
do
m
a
in s
t
u
dy
I
n
ti
m
e
d
o
m
ain
a
n
al
y
s
is
s
o
m
e
in
f
o
r
m
atio
n
m
a
y
n
o
t
b
e
r
ev
ea
led
s
o
f
r
eq
u
en
c
y
d
o
m
ai
n
ca
n
is
u
s
ed
to
r
ev
ea
l
th
o
s
e
i
n
f
o
r
m
atio
n
w
h
i
ch
is
n
o
t
p
o
s
s
ib
le
in
ti
m
e
d
o
m
a
in
.
T
h
e
s
i
g
n
al
in
ti
m
e
d
o
m
a
in
i
s
b
asicall
y
co
n
v
er
ted
to
f
r
eq
u
en
c
y
d
o
m
ai
n
b
y
e
m
p
lo
y
in
g
t
h
e
Fo
u
r
ier
tr
a
n
s
f
o
r
m
.
I
n
t
h
is
an
al
y
s
is
t
h
e
a
co
u
s
tic
s
i
g
n
al
p
ea
k
is
d
is
p
la
y
ed
i
n
t
h
e
f
r
eq
u
e
n
c
y
s
p
ec
tr
u
m
an
d
p
r
o
v
id
e
th
e
in
f
o
r
m
atio
n
in
f
r
eq
u
en
c
y
d
o
m
a
in
.
T
h
e
ch
ar
ac
ter
is
tic
f
au
lt f
r
eq
u
e
n
cie
s
ca
n
b
e
ca
lcu
l
ated
b
y
t
h
e
f
o
llo
w
i
n
g
eq
u
atio
n
s
:
(
)
(
)
(
3
)
(
)
(
)
(
4
)
1
.
4
.
T
i
m
e
-
f
re
qu
e
ncy
s
t
ud
y
I
n
s
o
m
e
ca
s
es
ti
m
e
o
r
f
r
eq
u
e
n
c
y
an
a
l
y
s
is
alo
n
e
m
a
y
n
o
t
g
i
v
e
ad
eq
u
ate
in
f
o
r
m
atio
n
ab
o
u
t
t
h
e
f
au
lt
in
th
e
r
o
tatin
g
m
ac
h
i
n
e.
So
ti
m
e
-
f
r
eq
u
en
c
y
a
n
al
y
s
is
is
n
ee
d
e
d
f
o
r
th
is
p
u
r
p
o
s
e
to
g
iv
e
b
etter
an
al
y
s
is
o
f
t
h
e
f
au
lt.
W
av
e
let
tr
a
n
s
f
o
r
m
is
u
s
ed
f
o
r
t
h
i
s
p
u
r
p
o
s
e.
T
h
e
s
i
g
n
als
ar
e
p
r
o
ce
s
s
ed
b
y
t
h
e
w
a
v
elet
tr
an
s
f
o
r
m
to
g
en
er
ate
t
h
e
t
w
o
d
i
m
e
n
s
io
n
al
m
ap
o
f
W
T
c
o
ef
f
icie
n
ts
to
g
et
th
e
r
eq
u
ir
ed
ti
m
e
f
r
eq
u
e
n
c
y
in
f
o
r
m
at
io
n
.
I
t
p
r
o
v
id
es
th
e
in
f
o
r
m
a
tio
n
s
i
m
u
ltan
eo
u
s
l
y
b
o
th
i
n
ti
m
e
an
d
s
c
ale.
I
n
ti
m
e
-
f
r
eq
u
e
n
c
y
m
et
h
o
d
s
o
f
f
a
u
lt
d
etec
tio
n
th
e
co
n
to
u
r
p
lo
ts
ar
e
v
is
u
a
ll
y
o
b
s
er
v
ed
.
T
h
e
f
au
lt
ca
n
b
e
d
etec
ted
b
y
v
i
s
u
al
l
y
m
o
n
ito
r
i
n
g
th
e
ch
a
n
g
es
th
a
t
o
cc
u
r
r
ed
in
th
e
f
ea
tu
r
es o
f
th
e
d
is
tr
ib
u
tio
n
i
n
t
h
e
co
n
to
u
r
p
lo
t
s
.
2.
P
E
RF
O
RM
ANCE CO
M
P
A
RIS
O
N
O
F
ANC
F
I
L
T
E
RI
NG
T
E
CH
N
I
Q
UE
S
I
n
th
i
s
s
ec
tio
n
t
h
e
p
er
f
o
r
m
a
n
ce
o
f
th
e
A
N
C
f
ilter
in
g
te
ch
n
iq
u
es
u
s
ed
to
r
em
o
v
e
th
e
n
o
is
e
is
co
m
p
ar
ed
.
C
o
m
p
ar
is
o
n
is
m
a
d
e
o
n
t
h
e
b
asi
s
o
f
SNR
(
s
i
g
n
a
l
to
n
o
is
e
r
atio
)
a
n
d
MSE
(
m
e
an
s
q
u
ar
e
er
r
o
r
)
.
I
n
th
e
ex
p
er
i
m
e
n
tal
s
et
u
p
o
n
e
d
e
f
ec
ti
v
e
b
ea
r
in
g
is
p
lace
d
.
T
h
en
th
e
ac
o
u
s
t
ic
s
i
g
n
a
l
is
ac
q
u
ir
ed
.
T
h
en
t
h
e
th
r
ee
A
N
C
tec
h
n
iq
u
es
ar
e
i
m
p
le
m
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n
ted
o
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t
h
ese
ac
q
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ac
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u
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ti
c
s
ig
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h
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ac
q
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ir
ed
n
o
is
y
ac
o
u
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ig
n
al
a
n
d
th
e
f
ilter
e
d
s
i
g
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al
a
f
ter
A
N
C
i
s
s
h
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w
n
i
n
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i
g
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r
e
1
.
T
h
e
co
m
p
ar
is
o
n
p
ar
a
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eter
s
o
f
t
h
e
t
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ee
d
e
-
n
o
is
i
n
g
A
N
C
tech
n
iq
u
es a
r
e
tab
u
la
ted
in
T
ab
le
1
.
Fig
u
r
e
1
.
C
o
m
p
ar
is
o
n
o
f
ANC
tech
n
iq
u
es
T
ab
le
1
.
P
ar
am
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s
C
o
m
p
ar
is
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f
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h
n
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es
A
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
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&
C
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p
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n
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I
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N:
2
0
8
8
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8708
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o
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3563
Fro
m
th
i
s
co
m
p
ar
is
o
n
E
MD
is
f
o
u
n
d
b
etter
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So
f
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p
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tag
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d
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h
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ac
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p
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f
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tic
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ig
n
als
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s
ed
f
o
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th
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th
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p
r
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s
s
in
g
a
n
d
an
al
y
s
i
s
.
T
h
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f
i
lter
ed
ac
o
u
s
tic
s
ig
n
al
s
ar
e
s
h
o
w
n
in
F
ig
u
r
e
5.
3.
E
XP
E
R
I
M
E
NT
T
o
im
p
le
m
e
n
t
t
h
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p
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s
ed
m
et
h
o
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o
f
d
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t
p
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r
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g
an
e
x
p
er
im
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ta
l
s
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-
u
p
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m
ad
e.
T
h
e
ex
p
er
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m
en
tal
s
e
t
-
u
p
an
d
its
m
o
d
el
is
s
h
o
w
n
in
F
ig
u
r
e
2
an
d
Fi
g
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3
r
esp
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tiv
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y
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t
co
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s
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o
f
a
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le
p
h
ase
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n
d
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ctio
n
m
o
to
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0
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5
h
p
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n
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its
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is
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n
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at
2
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d
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u
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Fig
u
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d
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p
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3
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ata
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a
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r
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&
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ch
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h
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h
e
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tes
t
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m
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n
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h
a
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o
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m
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th
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y
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e
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Fig
u
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3564
I
n
itiall
y
th
e
h
ea
lt
h
y
b
ea
r
in
g
is
m
o
u
n
ted
o
n
th
e
s
h
a
f
t
a
n
d
th
e
co
r
r
esp
o
n
d
in
g
ac
o
u
s
ti
c
s
ig
n
al
i
s
ac
q
u
ir
ed
.
Si
m
ilar
l
y
t
h
e
th
r
ee
d
ef
ec
tiv
e
b
ea
r
in
g
s
ar
e
m
o
u
n
ted
o
n
e
b
y
o
n
e
an
d
th
e
co
r
r
esp
o
n
d
in
g
ac
o
u
s
tic
s
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n
al
i
s
ac
q
u
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ed
.
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l
l
t
h
e
ac
q
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a
co
u
s
tic
s
i
g
n
a
ls
a
f
ter
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iltra
tio
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p
r
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s
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ed
f
o
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f
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r
th
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a
l
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s
is
.
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f
ilter
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ac
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ig
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4.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
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h
is
s
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tio
n
s
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r
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d
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h
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m
e
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n
c
y
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w
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al
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s
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f
t
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f
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ac
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ic
s
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n
o
s
e
th
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a
u
lt i
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b
ea
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in
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s
.
4
.
1
.
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i
m
e
do
m
a
i
n
(
s
t
a
t
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a
na
ly
s
is
Static
p
ar
a
m
eter
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e,
s
k
e
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s
,
s
h
ap
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f
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k
u
r
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s
is
,
R
MS,
cr
est
f
ac
to
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,
p
ea
k
v
alu
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etc.
is
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lcu
lated
f
r
o
m
th
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f
ilter
ed
ac
o
u
s
tic
s
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g
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a
tu
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b
y
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s
in
g
th
e
m
a
th
e
m
atica
l
f
o
r
m
u
las
an
d
is
tab
u
la
ted
in
Ta
b
le
2
.
Fro
m
th
e
T
ab
le
2
th
e
v
ar
iatio
n
s
o
f
t
h
e
p
ar
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m
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s
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r
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p
ar
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h
ea
lt
h
y
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s
ar
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w
ell
o
b
s
er
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ed
.
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l
s
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th
e
d
if
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er
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ce
i
n
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ar
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tio
n
s
f
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d
if
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er
e
n
t t
y
p
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o
f
f
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u
lt is
well
o
b
s
er
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ed
.
T
ab
le
2
.
T
im
e
Do
m
ai
n
P
ar
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eter
C
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p
ar
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l
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Ty
p
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p
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t
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g
1
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)
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(
F
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)
a
n
a
ly
s
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t
f
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r
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r
tr
an
s
f
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m
(
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s
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ed
f
o
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s
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al
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s
i
s
.
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e
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h
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d
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f
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t
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is
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m
p
ar
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d
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s
h
o
w
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in
Fig
u
r
e
1
0
.
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l
y
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co
m
p
ar
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s
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n
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f
t
h
e
h
ea
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ter
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f
a
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c
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p
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an
d
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s
h
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w
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Fi
g
u
r
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1
1
.
T
h
en
th
e
b
ea
r
in
g
ch
ar
ac
ter
is
t
ic
f
r
eq
u
e
n
c
y
(
B
C
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also
k
n
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S
[1
]
P.
K.
Ka
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.
C.
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.
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]
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Ka
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.
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im
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.
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9
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.
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