IAES
Inter
national
J
our
nal
of
Artificial
Intelligence
(IJ-AI)
V
ol.
9,
No.
2,
June
2020,
pp.
193
202
ISSN:
2252-8938,
DOI:
10.11591/ijai.v9i2.pp193-202
r
193
F
eatur
es
detection
based
blind
hando
v
er
using
kullback
leibler
distance
f
or
5G
HetNets
systems
Adnane
El
Hanjri
1
,
Aawatif
Hayar
2
,
Abdelkrim
Haqiq
3
1,3
IR2M
Laboratory
,
F
aculty
of
Sciences
and
T
echniques,
Hassan
1st
Uni
v
ersity
,
Morocco
2
GREENTIC,
ENSEM,
Hassan
II
Uni
v
ersity
,
Morocco
Article
Inf
o
Article
history:
Recei
v
ed
No
v
03,
2019
Re
vised
Apr
4,
2020
Accepted
Apr
19,
2020
K
eyw
ords:
Akaik
e
information
criterion
Akaik
e
weight
Hando
v
ers
K
ullback
leibler
distance
Small
cells
ABSTRA
CT
The
Fifth
Generation
of
Mobile
Netw
orks
(5G)
is
changing
the
cellular
netw
ork
infrastructure
paradigm,
and
small
cells
are
a
k
e
y
piece
of
this
shift.
But
the
high
number
of
small
cell
s
and
their
lo
w
co
v
erage
in
v
olv
e
more
Hando
v
ers
to
pro
vide
continuous
connecti
vity
,
and
the
selection,
quickly
and
at
lo
w
ener
gy
cost,
of
the
appropriate
one
in
the
vicinity
of
thousands
is
also
a
k
e
y
problem.
In
this
paper
,
we
propose
a
ne
w
method,
to
ha
v
e
an
ef
ficient,
blind
and
rapid
hando
v
er
just
by
analysing
recei
v
ed
signal
probability
density
functi
on
instead
of
demodulating
and
analysing
recei
v
ed
signal
i
tself
as
in
classical
hando
v
er
.
The
proposed
method
e
xploits
kullback
leibler
distance
(KLD),
akaik
e
information
criterion
(AIC)
and
akaik
e
weights,
in
order
to
decide
blindly
the
best
hando
v
er
and
the
best
base
station
(BS)
for
each
user
.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
EL
HANJRI
Adnane,
IR2M
laboratory
,
F
aculty
of
Sciences
and
T
echniques,
Hassan
1st
Uni
v
ersity
,
Settat,
Morocco.
Email:
adnane.elhanjri@gmail.com
1.
INTR
ODUCTION
Mobile
cellular
communication
[1]
has
become
increasingly
one
of
the
most
interesting
re
search
area
o
v
er
the
past
fe
w
years.
The
e
xponentially
increasing
demand
for
wireless
data
services
[2]
require
a
massi
v
e
netw
ork
densification
that
is
neither
economically
nor
ecologically
viable
with
current
cellular
system
architectures.
Fifth
Generation
(5G)
[3-4]
ha
v
e
recently
emer
ged
to
s
atisfy
the
increasing
demand
for
high
data
bit
rates.
A
crucial
requirement
for
5G
netw
orks
is
the
deplo
yment
of
Small
Cells
(SCs)
[5]
o
v
er
Macrocells
layer
whi
ch
introduces
a
ne
w
type
of
netw
orks
called
Heterogeneous
Netw
orks
(HetNets)
[6].
A
HetNet
is
simply
the
banding
together
of
dif
ferent
sized
cells
to
pro
vide
ultra
dense
co
v
erage
in
defined
geographic
areas.
Small
Cells
(SCs)
are
lo
w-po
wered
cellular
radio
access
nodes
that
operate
in
licensed
and
unlicens
ed
spectrum
that
ha
v
e
a
range
of
10
meters
to
a
fe
w
kil
ometers.
The
y
will
be
a
crucial
component
of
5G
netw
orks,
because
the
y
ha
v
e
the
a
b
i
lity
to
significantly
increase
netw
ork
capacity
,
density
and
co
v
erage,
especially
indoors.
The
y
are
a
relati
v
ely
lo
w
cost
deplo
yment
option
and,
because
the
y
are
lo
w
po
wer
de
vices
[7],
are
relati
v
ely
cheap
and
ef
ficient
to
run
to
gi
v
e
a
lo
w
total
cost
of
o
wnership.
Lik
e
e
v
ery
other
technology
,
SCs
ha
v
e
some
dra
wbacks
that
gi
v
e
rise
to
some
major
concern
on
part
of
the
end
users.
In
this
paper
,
we
are
going
to
study
the
problem
of
the
management
of
hando
v
ers.
Hando
v
er
is
the
practice
of
retaining
a
user’
s
acti
v
e
connection
when
a
mobile
terminal
changes
its
connection
point
to
the
access
netw
ork
(called
“point
of
attachment”)
[8-9].
Because
of
the
lo
w
co
v
erage
of
SCs,
it
is
essential
to
J
ournal
homepage:
http://ijai.iaescor
e
.com
Evaluation Warning : The document was created with Spire.PDF for Python.
194
r
ISSN:
2252-8938
support
seamless
hando
v
ers
to
pro
vide
continuous
connecti
vity
wi
thin
an
y
wide
area
netw
ork.
In
addition,
due
to
the
high
number
of
SCs,
hando
v
ers
increase,
and
the
selection,
quickly
and
at
lo
w
ener
gy
cost,
of
the
appropriate
one
in
the
vicinity
of
thousands
is
also
a
k
e
y
problem.
Hence,
we
propose
a
ne
w
method
to
operate
and
manage
a
blind
hando
v
er
between
a
number
of
users
and
Base
Stations
of
SCs.
Ev
ery
hando
v
er
process
contains
three
phases
logical
ly
[10].
The
first
step
concerns
the
mea
surement
or
information
g
athering
phase,
where
the
UE
measures
the
signal
strength
of
e
v
ery
potential
neighbor
BS
and
the
cur
rent
serving
station.
The
second
phase
is
about
the
hando
v
er
decision,
where
the
current
serving
BS
decides
about
initializing
the
hando
v
er
based
on
the
measured
data
from
the
first
stage.
And
the
last
one,
is
the
cell
e
xchange,
when
the
UE
releases
the
serving
e
v
olv
ed
NodeB
(eNB)
and
connects
to
the
ne
w
one.
F
or
5G
Netw
orks,
Artificial
Intelligence
[11]
can
be
broadly
applied
in
the
Blind
Hando
v
er
techniques.
The
usage
of
Artificial
Intelligence
techniques
in
the
Handof
f
decision
process
will
reduce
the
computation
comple
xity
which
already
e
xists
in
the
con
v
entional
methods.
The
main
idea
is
to
operate
ef
ficient,
blind
and
rapid
hando
v
er
just
by
analysing
recei
v
ed
signal
probability
density
function(pdf)
instead
of
demodulating
and
analysing
recei
v
ed
signal
itself
as
in
classical
hando
v
er
.
The
goal
within
our
contrib
ution
is
to
e
xploit
kullback
leiber
distance,
akaik
e
information
criterion
(AIC)
and
akaik
e
weights
[12-13]
in
order
to
decide
blindly
the
best
hando
v
er
and
the
best
BS
for
each
user
.
The
remainder
of
the
paper
is
or
g
anized
as
follo
ws.
W
e
be
gin
by
introducing,
a
brief
o
v
ervie
w
of
related
w
ork
in
section
2.
In
section
3,
we
re
visit
KLD
and
present
the
formulation
of
our
problem.
In
section
4
we
gi
v
e
a
brief
re
vie
w
of
model
selection
using
AIC:
the
AIC
is
presented
and
the
akaik
e
weights
are
deri
v
ed.
The
approach
based
on
model
selection
is
de
v
eloped
in
Section
5.
The
e
v
aluation
of
the
result
is
in
section
6.
The
last
section
will
be
de
v
oted
to
the
conclusion.
2.
RELA
TED
W
ORK
In
mobile
telec
o
m
munications
systems,
there
ar
e
circumstances
where
it
is
desirable
for
a
mobile
terminal
(such
as
a
telephone,
portable
computer
with
communications
capabilities,
etc.),
which
is
operating
at
a
first
frequenc
y
in
a
first
netw
ork
belonging
to
a
first
system
to
transfer
to
a
second
netw
ork
operating
at
a
second
frequenc
y
(which
may
belong
to
a
second
s
ystem),
that
is,
a
system
using
a
dif
ferent
type
of
technology
and
defined
according
to
a
dif
ferent
standard.
Dif
ferent
types
of
hando
v
er
may
be
en
visaged:
If
the
primary
netw
ork
is
a
time
di
vision
duple
x
(TDD)
netw
ork
[14]
then,
e
v
en
while
the
mobile
terminal
is
transmitting
or
recei
ving
data/v
oice,
there
are
time
slots
when
it
is
inacti
v
e
(that
is,
it
is
neither
sending
nor
transmitting
signals).
These
time
slots
can
be
used
to
perform
measurements
on
channels
operating
at
other
frequencies,
thus
enabling
the
terminal
to
e
v
aluate
the
performance
of
candidate
tar
get
netw
orks.
Ho
we
v
er
,
if
the
primary
netw
ork
is
a
frequenc
y
di
vision
duple
x
(FDD)
netw
ork
[14],
such
as
a
Uni
v
ersal
Mobile
T
ele
communication
System
(UMTS)
FDD
netw
ork
then,
when
the
terminal
is
acti
v
e
and
currently
transmitting
or
recei
ving
data,
there
are
no
inacti
v
e
periods
a
v
ailable
for
performing
measurements
at
other
frequencies.
So,
in
this
case,
the
terminal
cannot
readily
e
v
aluate
the
performance
of
candidate
tar
get
netw
orks.
V
arious
techniques
ha
v
e
been
proposed
to
enable
intra-system
inter
-frequenc
y
hando
v
ers,
or
inter
-system
hando
v
ers,
to
be
performed
by
terminals
operating
in
primary
netw
orks
using
FDD
(such
as
UMTS
FDD
netw
orks).
Man
y
techniques
ha
v
e
been
propos
ed
using
measurements
on
the
T
ar
get
Netw
ork
[15]:
A
first
approach
which
enables
measurements
to
be
made
on
the
tar
get
netw
ork
is
the
“dual
recei
v
er”
approach
which
means
that
mobile
station
has
tw
o
recei
v
er
branches,
one
recei
ving
branch
measures
the
signal
strength
and
quality
on
the
other
frequenc
y
while
another
recei
ving
branch
are
k
eeping
track
on
transmitting
and
recei
ving
signals
of
the
current
frequenc
y
.
This
is
especially
suitable
for
antenna
di
v
ersity
in
mobile
station.
This
approach
has
a
number
of
disadv
antages.
Firstly
,
po
wer
consumption
of
the
terminal
is
increased.
Secondly
,
if
the
terminal
is
adapted
to
operate
both
in
UMTS
FDD
netw
orks
and
in
GSM
1800
netw
orks
then
a
problem
ca
n
arise
(due
to
t
h
e
closeness
of
the
frequencies
of
the
UMTS
FDD
uplink
band
and
the
GSM
1800
do
wnlink
band)
when
the
contemplated
hando
v
er
is
from
an
UMTS
FDD
netw
ork
to
a
GSM
1800
netw
ork.
More
specifically
,
if
the
frequencies
corresponding
to
the
UMTS
FDD
uplink
band
and
the
GSM
1800
do
wnlink
band
are
not
perfectly
isolated
then
the
dual
recei
v
er
terminal
may
not
be
able
to
demodulate
them
both.
In
such
a
case
another
technique
w
ould
be
required
in
order
to
enable
the
terminal
to
perform
measurements
on
the
tar
get
netw
ork.
Finally
,
the
mobile
terminal
comprises
tw
o
recei
v
ers
and,
accordingly
,
requires
e
xtra
circuitry
compared
to
a
standard
terminal:
whi
ch
increases
its
size,
cost
and
comple
xity
.
Int
J
Artif
Intell,
V
ol.
9,
No.
2,
June
2020
:
193
–
202
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Artif
Intell
ISSN:
2252-8938
r
195
A
second
approach
which
enables
the
terminal
to
mak
e
measurements
on
the
tar
get
netw
ork
consists
in
operating
the
terminal
in
“compressed
mode’
[16-18].
The
compressed
mode,
often
referred
to
as
the
slotted
mode,
is
needed
when
making
measurements
from
another
frequenc
y
in
a
CDMA
system
without
a
f
u
l
l
dual
recei
v
er
terminal.
The
compressed
mode
means
that
transmission
and
reception
are
halted
for
a
short
time,
in
the
order
of
a
fe
w
milliseconds,
in
order
to
perform
measurements
on
the
other
frequencies.
The
intention
is
not
to
lose
data
b
ut
to
compress
the
data
transmission
in
the
time
domain.
An
e
xisting
feature
in
which
the
netw
ork
node,
e.g.
an
eNB
in
case
of
L
TE,
may
initiate
a
hando
v
er
procedure
for
a
terminal
without
doing
con
v
entional
measurement
configuration
and
without
consideri
ng
mea-
surement
reports
is
Blind
Hando
v
er
.
This
feature
may
be
beneficial
when
a
f
ast
hando
v
er
is
needed
and
candi-
date
cell
measurements
are
una
v
ailable,
or
w
ould
impose
an
unw
anted
delay
.
Using
the
blind
hando
v
er
in
such
case
remo
v
es
the
time
and
signaling
needed
to
conduct
hando
v
er
measurements,
hence
gi
ving
the
desired
f
ast
hando
v
er
.
Blind
Hando
v
er
T
echniques
[15]:
A
beacon
pilot
blind
hando
v
er
technique
has
been
proposed
in
which
the
tar
get
netw
ork,
which
normally
operates
at
a
frequenc
y
f.
broadcasts
a
“beacon
pilot’
at
the
same
frequenc
y
f.
as
the
frequenc
y
of
the
primary
netw
ork.
This
beacon
pilot
consists
of
a
pilot
channel
and
a
synchronisation
channel
and
enables
the
mobile
terminal
to
e
v
aluate
the
propag
ation
loss
between
itself
and
the
tar
get
netw
ork.
One
disadv
antage
of
the
“beacon
pilot
approach
is
that
it
requires
deplo
yment
of
pi
lot
antennas,
increasing
the
cost
of
the
system
infrastructure.
Another
disadv
antage
arises
in
the
case
of
an
intra-system,
inter
-frequenc
y
hando
v
er
between
primary
and
tar
get
netw
orks
which
are
UMTS
FDD
netw
orks
operating
at
adjacent
frequencies.
In
this
case
the
pilot
transmission
can
generate
i
nterference
on
the
tar
get
netw
ork,
making
its
capacity
decrease.
Another
kno
wn
blind
hando
v
er
consists
in
a
“direct
blind
hando
v
er
in
which
a
look-up
table
is
held,
for
e
xample,
in
the
Radio
Netw
ork
Controller
(RNC)
of
the
primary
netw
ork
(assuming
an
UMTS
FDD
primary
netw
ork).
This
look-up
table
(or
“planning
table’)
indicates,
for
each
primary
cell,
which
tar
get
cell
should
be
used
in
a
hando
v
er
.
If
the
hando
v
er
is
between
systems
ha
ving
co-located
cells
then
this
blind
hando
v
er
method
w
orks
reasonably
well.
Ho
we
v
er
,
in
the
case
where
the
transfer
is
an
inter
-system
transfer
there
is
no
guarantee
that
the
boundaries
of
the
cells
of
the
tw
o
systems
will
be
defined
in
the
same
locations.
If
the
primary
and
tar
get
cells
are
not
co-located
then
the
quality
of
the
connection
a
v
ailable
in
the
tar
get
cell
will
v
ary
depending
upon
the
geographic
location
of
the
mobile
terminal
within
the
primary
c
ell.
Thus,
for
mobile
terminals
at
certain
locations
within
the
primary
cell,
the
tar
get
cell
specified
in
t
he
planning
table
will
not
be
the
best
one
to
use.
3.
DESCRIPTION
AND
FORMULA
TION
OF
THE
PR
OBLEM
The
main
idea
in
our
contrib
ution
is
to
detect
the
best
BS
for
each
user
(Best
Hando
v
er)
by
e
xploi
ting
model
selection
techniques
and
especially
the
AIC.
It
w
as
sho
wn
in
[19]
that,
when
signal
demodulation
cannot
be
perf
o
r
med,
the
recei
v
ed
wireless
communication
signal
can
be,
roughly
,
modeled
using
Rayleigh
and
Rician
distrib
ution.
Therefore,
we
propose
to
calculate
in
blindly
process
the
Recei
v
ed
Signal
for
each
BS
and
Analyze
AIC
in
order
to
determine
the
best
hando
v
er
.
Figure
1
presents
an
illustrated
model
of
Small
Cells
Netw
ork.
Figure
1.
Model
of
small
cells
netw
ork
F
eatur
es
detection
based
blind
hando
ver
using
kullbac
k
leibler
distance
for
...
(Adnane
El
Hanjri)
Evaluation Warning : The document was created with Spire.PDF for Python.
196
r
ISSN:
2252-8938
In
this
section,
we
will
gi
v
e
a
short
re
vie
w
of
the
basic
ideas.
In
f
act,
it
is
assumed
that
the
samples
of
the
Recei
v
ed
Signal
for
each
BS
are
dis
trib
uted
according
to
an
original
probability
density
function
f
k
where
k
2
f
1
;
2
;
3
;
4
;
5
;
6
g
is
the
inde
x
of
BS,
called
the
operating
model.
Since
only
a
finite
number
of
observ
ations
is
a
v
ailable,
the
operating
model
is
usually
unkno
wn.
Therefore,
approximating
model
(i.e
candidate
model)
must
be
specified
using
the
observ
ed
data,
in
order
to
estimate
the
operating
model.
The
candidate
model
is
denoted
as
g
k
,
where
indicates
the
U-dimensional
parameter
v
ector
,
which
specifies
the
probability
density
function.
In
information
theory
[20],
the
K
ullback-Leibler
distance
describes
the
discrepanc
y
between
the
tw
o
probability
density
functions
f
k
and
g
k
and
is
gi
v
en
by
[12]:
D
(
f
k
k
g
k
)
=
E
(
l
og
(
f
k
(
x
)))
E
(
l
og
(
g
k
(
x
)))
D
(
f
k
k
g
k
)
=
h
i
(
x
)
Z
f
k
(
x
)
l
og
(
g
k
(
x
))
dx
(1)
where
h(.)
denotes
dif
ferential
entrop
y
.
Since,
the
original
probability
density
function
f
k
is
not
kno
wn,
this
distance
measure
is
not
directly
applicable.
It
is
kno
wn,
ho
we
v
er
,
that
the
K
ullback-Leibler
distance
is
nonne
g
ati
v
e,
this
implies
that
the
K
ullback-
Leibler
discrepanc
y
,
Z
f
k
(
x
)
l
og
(
g
k
(
x
))
dx
=
h
i
(
x
)
+
D
(
f
k
k
g
k
)
(2)
approaches
the
dif
ferential
entrop
y
of
X
from
abo
v
e
for
increasing
quality
of
the
model
g
k
.
Applying
the
weak
la
w
of
lar
ge
numbers
[21],
this
e
xpression
(2)
can
be
approximated
by
a
v
eraging
the
log-lik
elihood
v
alues
gi
v
en
the
model
o
v
er
N
independent
observ
ations
x
1
;
x
2
;
:::;
x
N
according
to:
Z
f
k
(
x
)
l
og
(
g
k
(
x
))
dx
1
N
N
X
n
=1
g
k
(
x
n
)
(3)
The
e
xpected
K
ullback-Leibler
discrepanc
y
is
gi
v
en
by
[17]:
E
Z
f
k
(
x
)
l
og
(
g
k
(
x
))
dx
(4)
This
e
xpression
(4)
cannot
be
computed,
b
ut
estimated.
4.
MODEL
SELECTION
USING
AKAIKE
INFORMA
TION
CRITERION
The
information
theoretic
criteria
w
as
first
introduced
by
Akaik
e
in
[8]
for
model
selection.
Assuming
a
candidate
model,
the
idea
is
to
deci
de
if
the
distrib
ution
of
the
observ
ed
signal
fits
the
candi-
date
model.
The
AIC
criterion
is
an
approximately
unbiased
estimator
for
(4)
and
is
gi
v
en
by:
AI
C
k
=
2
N
X
n
=1
l
og
(
g
k
(
x
n
))
+
2
U
(5)
where
U
indicates
the
dimension
of
the
parameter
v
ector
.
One
should
select
the
model
that
yields
the
smallest
v
alue
of
AIC
because
t
his
model
i
s
estimated
to
be
the
closest
to
the
unkno
wn
reality
that
generated
the
data,
from
among
the
candidate
models
considered.
The
parameter
v
ector
for
each
f
amily
should
be
estimated
using
the
minimum
discrepanc
y
estimator
b
,
which
minimizes
the
empirical
discrepanc
y
.
This
is
the
discrepanc
y
between
the
approximating
model
and
the
model
obtained
by
re
g
arding
the
observ
ations
as
the
whole
population.
The
maximum
lik
elihood
estimator
[22]
is
the
minimum
discrepanc
y
estimator
for
the
K
ullback-Leibler
discrepanc
y
[12].
Consider
a
probability
distrib
ution
parameterized
by
an
unkno
wn
parameter
,
associated
with
either
a
kno
wn
probability
density
function
or
a
kno
wn
probability
mass
function,
denoted
as
f
k
.
As
a
function
of
Int
J
Artif
Intell,
V
ol.
9,
No.
2,
June
2020
:
193
–
202
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Artif
Intell
ISSN:
2252-8938
r
197
with
x
1
;
x
2
;
:::;
x
N
fix
ed,
the
lik
elihood
function
is:
L
k
(
)
=
f
k
(
x
1
;
x
2
;
:::;
x
N
)
(6)
The
method
of
maximum
lik
el
ihood
estimates
by
finding
the
v
alue
of
that
maximizes
L
k
(
)
.
The
maximum
lik
elihood
estimator
(MLE)
[22]
of
is
gi
v
en
by:
b
=
argmax
L
k
(
)
(7)
Commonly
,
one
assumes
that
the
data
dra
wn
from
a
particular
distrib
ution
are
i.i.d.
with
unkno
wn
parameters.
This
considerably
simplifies
the
problem
because
the
lik
elihood
can
then
be
written
as
a
product
of
N
uni
v
ariate
probability
densities:
L
k
(
)
=
N
Y
n
=1
f
k
(
x
n
j
)
(8)
and
since
maxima
are
unaf
fected
by
monotone
transformations,
one
can
tak
e
the
log
arithm
of
this
e
xpression
to
turn
it
into
a
sum:
L
k
(
)
=
N
X
n
=1
l
og
f
k
(
x
n
j
)
(9)
Consequently
,
the
e
xpression
of
the
maximum
lik
elihood
in
our
case
is
[19]:
b
=
argmax
1
N
N
X
n
=1
l
og
(
g
k
(
x
n
))
(10)
The
maximum
of
this
e
xpression
can
then
be
found
numerically
using
v
arious
optimization
algorithm
s
[17].
This
contrasts
with
seeking
an
unbiased
estimator
of
,
which
may
not
necessarily
yield
the
MLE
b
ut
which
will
yield
a
v
alue
that
(on
a
v
erage)
will
neither
tend
to
o
v
er
-estimate
nor
under
-estimate
the
true
v
alue
of
.
The
maximum
lik
elihood
estimator
may
not
be
unique,
or
indeed
may
not
e
v
en
e
xist.
Because
AIC
contains
v
arious
constants
and
is
a
function
of
sample
size,
we
routinely
recommend
computing
(and
presenting
in
publications)
the
AIC
dif
ferences(in
addition
to
the
actual
AIC
v
alues):
k
=
AI
C
k
AI
C
min
(11)
where
AI
C
min
denotes
the
minimum
AIC
v
alue
o
v
er
all
BSs.
Akaik
e
weights
can
be
computed
using
(5),
in
order
to
decide
if
the
distrib
ution
of
the
Recei
v
ed
Signal
fits
the
candidate
distrib
ution
or
not.
The
Akaik
e
weights
can
be
interpreted
as
estimate
for
the
probabilities
that
the
corresponding
candidate
distrib
ution
sho
w
the
best
modeling
fit.
It
pro
vides
another
measure
of
the
strength
of
e
vidence
for
this
model,
and
is
gi
v
en
by:
W
k
=
e
1
=
2
k
P
6
i
=1
e
1
=
2
i
where
k
2
f
1
;
2
;
3
;
4
;
5
;
6
g
(12)
The
Akaik
e
weights
allo
w
us
not
only
to
decide
if
the
distri
b
ut
ion
of
the
Recei
v
ed
Signal
fits
the
Gaussian
distrib
ution,
b
ut
also
pro
vide
information
about
the
relati
v
e
approximation
quality
of
this
distrib
ution.
The
maximum
Lik
elihood
estimator
is
the
minimum
discrepanc
y
estimator
for
the
KL
discrepanc
y
[12].
In
our
problem,
we
w
ant
Line
Of
Sight
(LOS)
signal
between
the
BS
and
the
users.
Consequently
,
we
are
going
to
use
the
Rice
distrib
ution
[23].
So
the
probability
density
function
for
the
Recei
v
ed
Signal
for
each
BS
is
gi
v
en
by:
g
k
(
x
j
k
;
k
)
=
x
2
k
exp
(
x
2
+
2
k
)
2
2
k
I
0
(
x
k
2
k
)
(13)
where
I
0
(
x
k
2
k
)
is
the
modified
Bessel
function
of
the
first
kind
with
order
zero
,
k
is
the
mean
or
e
xpectation
F
eatur
es
detection
based
blind
hando
ver
using
kullbac
k
leibler
distance
for
...
(Adnane
El
Hanjri)
Evaluation Warning : The document was created with Spire.PDF for Python.
198
r
ISSN:
2252-8938
of
the
distrib
ution
(and
also
its
median
and
mode)
and
k
is
the
standard
de
viation.
The
approximated
probability
density
function
leads
to
the
follo
wing
log-lik
elihood
function
:
L
k
(
k
;
k
)
=
l
og
Q
N
i
=1
x
i
2
N
k
exp
P
N
i
=1
(
x
2
i
+
2
k
)
2
2
k
!
N
Y
i
=1
I
0
(
x
i
k
2
k
)
!
(14)
P
arameters
k
and
k
are
gi
v
en
by
the
solution
of
the
follo
wing
set
of
equations:
8
<
:
k
1
N
P
N
i
=1
x
i
I
1
(
x
i
k
2
k
)
I
0
(
x
i
k
2
k
)
=
0
2
k
+
2
k
1
N
P
N
i
=1
x
2
i
=
0
(15)
where
I
1
(
x
i
k
2
k
)
=
I
0
(
x
i
k
2
k
)
+
2
k
2
x
k
I
0
(
x
i
k
2
k
)
is
the
modified
Bessel
function
[24]
with
order
one.
When
x
i
k
2
k
>>
0
:
25
and
I
0
(
x
i
k
2
k
)
=
exp
(
x
i
k
2
k
)
r
2
x
i
k
2
k
,
(15)
can
be
e
xpressed
as:
(
2
k
+
1
N
P
N
i
=1
x
i
k
2
k
2
=
0
2
k
1
N
P
N
i
=1
x
2
i
+
2
2
k
=
0
(16)
Resolving
(16),
the
MLE
for
the
parameters
c
k
,
c
k
can
be
e
xpressed
as:
(
c
k
=
2
P
N
i
=1
x
i
+
p
(4(
P
N
i
=1
x
i
)
2
+5
N
P
N
i
=1
x
2
i
)
5
N
c
k
2
=
1
2
c
k
2
+
1
2
N
P
N
i
=1
x
2
i
(17)
And
the
parameter
v
ector
=
(
k
;
k
)
5.
THE
APPR
O
A
CH
In
this
section,
we
present
a
ne
w
approach
to
detect
the
best
hando
v
er
based
on
e
xploiting
model
selection
techniques
and
especially
AIC
introduced
by
Akaik
e
in
[12,
13].
W
e
consider
that
the
initial
signal
can
be
modeled
using
Gaussian
distrib
ution
and
its
norm
can
be
modeled
using
Rician
distrib
ution.
After
the
input
of
the
v
alues
of
the
Recei
v
ed
Signal
for
each
BS
(observ
ations),
in
the
first
step
we
compute
the
parameters
c
k
and
c
k
(MLE
parameters),
then
g
k
the
pdf
for
the
Recei
v
ed
Signal
for
each
BS
k
.
Once
we
ge
t
g
k
,
we
calculate
AI
C
k
and
W
k
for
each
BS.
The
Akaik
e
weights
allo
w
us
not
only
to
decide
if
the
distrib
ution
of
the
Recei
v
ed
Signal
fits
the
suitable
distrib
ution,
b
ut
also
pro
vide
information
about
the
best
signal
(best
BS)
for
each
user
.
If
the
Akaik
e
weight
of
Rician
distrib
ution
of
the
B
S
k
is
higher
than
the
Akaik
e
weights
of
other
BSs,
then
there
is
no
Hando
v
er
,
and
if
the
Akaik
e
weight
of
B
S
k
is
lo
wer
than
the
Akaik
e
weight
of
B
S
i
where
i
2
f
1
;
2
;
3
;
4
;
5
;
6
g
then
there
is
Hando
v
er
from
B
S
k
to
B
S
i
.
thr
eshol
d
(
x
n
)
=
W
k
W
i
<
thr
eshol
d
Hando
v
er
(
H
0
)
W
k
W
i
>
thr
eshol
d
No
Hando
v
er
(
H
1
)
(18)
The
decision
threshold
is
determined
by
using
the
probability
of
f
alse
alarm
P
F
A
[25].
The
threshold
thr
eshol
d
for
a
gi
v
en
f
alse
alarm
probability
[25]
is
determined
by
solving
the
equation
P
F
A
=
P
(
thr
eshol
d
(
x
)
<
thr
eshol
d
j
H
1
)
(19)
The
flo
w
chart
of
the
proposed
algorithm
is
sho
wn
in
Figure
2,
which
can
be
implemented
in
four
steps:
Int
J
Artif
Intell,
V
ol.
9,
No.
2,
June
2020
:
193
–
202
Evaluation Warning : The document was created with Spire.PDF for Python.
Int
J
Artif
Intell
ISSN:
2252-8938
r
199
Compu
t
e
par
amet
er
s
σ
an
d
μ
Compu
t
e
and
Com
p
u
t
e
the
p
d
f
of
the
Rece
ived Signal
f
o
r
each
B
S
In
p
u
t Rece
ived Signal
Thr
es
hold
Thr
es
hold
No
H
and
o
v
er
H
and
o
v
er
Figure
2.
Flo
wchart
of
Algorithm
of
Blind
Hando
v
er
based
on
distrib
ution
analysis
6.
RESUL
T
AND
AN
AL
YSIS
The
proposed
Blind
Detection
approach
is
e
v
aluated
using
the
softw
are
package
Matlab
R2016a.
The
Figure
3,
sho
ws
the
v
alues
of
Akaik
e
W
eights
of
the
six
BSs
in
a
time
t.
W
e
apply
the
approach
in
Figure
2
and
we
compute
the
Akaik
e
W
eights
for
the
BSs
in
terms
to
choose
the
best
BS
for
the
us
er
.
Figure
3
depicts
the
Akaik
e
W
eights
with
Gaussian
distrib
ution
obtained
from
the
6
BSs.
It
is
clearly
sho
wn
that
the
BS
which
has
the
Maximum
Akaik
e
weight
is
the
first
BS,
so
the
best
BS
for
the
user
is
the
B
S
1
.
In
Figure
4
we
can
see
the
dif
ference
between
Rice
and
Rayleigh
Distrib
ution
of
the
Recei
v
ed
Signal.
When
the
Signal
between
the
BS
and
the
UE
is
suf
fering
from
shado
wing
by
a
high
b
uilding
o
v
er
the
sensing
channel,
it
definitely
can
decrease
the
Recei
v
ed
Signal
due
to
the
lo
w
recei
v
ed
SNR.
When
the
SNR
is
lo
w
,
the
noise
distrib
ution
will
dominate
in
the
con
v
olution
and
the
resulting
distrib
ution
will
tend
to
become
close
to
Gaussian
e
v
en
if
the
signal
has
an
arbitrary
non
Gaussian
distrib
ution,
and
the
en
v
elope
(norm)
distrib
ution
of
the
signal
is
close
to
Rayleigh
distrib
ution.
Another
important
property
is
the
contri
b
ut
ion
of
the
dominant
propag
at
ion
paths
on
the
dis
trib
ution
of
the
Recei
v
ed
Signal.
The
en
v
elope
distrib
ution
of
the
Recei
v
ed
Signal
tend
to
become
close
to
R
ician
e
v
en
if
the
input
has
a
non
Rician
distrib
ution
.
The
Akaik
e
weight
of
Rician
distrib
ution
is
higher
than
Akaik
e
weight
of
Rayleigh
distrib
ution
that
mean
that
BS
with
Rician
Distrib
ution
is
the
best
for
the
UE.
1
2
3
4
5
6
7
BS Index
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Akaike weight
Figure
3.
Akaik
e
weights
of
the
six
BSs
at
time
t
F
eatur
es
detection
based
blind
hando
ver
using
kullbac
k
leibler
distance
for
...
(Adnane
El
Hanjri)
Evaluation Warning : The document was created with Spire.PDF for Python.
200
r
ISSN:
2252-8938
1
2
BS Index
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Akaike weight
The BS with Rice Distribution
The BS with Rayleigh Distribution
Figure
4.
The
comparison
of
akaik
e
weight
of
tw
o
BSs
with
dif
ferent
distrib
ution
7.
CONCLUSION
In
this
w
ork,
we
studied
a
ne
w
method
to
manage
the
hando
v
ers
between
a
number
of
users
and
Base
Stations
of
Small
Cells.
Our
idea
has
been
based
on
analysing
the
probability
density
function
of
the
Recei
v
ed
Signal
for
each
BS,
to
pro
vide
an
indication
of
the
intensity
of
the
Recei
v
ed
Signal,
and
e
xploit
KL
Di
v
er
gence,
Akaik
e
Information
Criterion
and
Akaik
e
W
eight
in
order
to
decide
the
best
hando
v
er
and
the
best
BS
for
each
user
.
The
proposed
Blind
Detection
Approach
is
e
v
aluated
using
the
softw
are
package
Matlab
R2016a.
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2009.
BIOGRAPHIES
OF
A
UTHORS
Adnane
El
Hanjri
recei
v
ed
his
Bachelor’
s
de
gree
in
Applied
Mathematics
at
the
F
aculty
of
Sciences,
Ibn
Zohr
Uni
v
ersity
,
Ag
adir
,
Morocco
in
2013.
In
2016,
he
obtained
his
Masters
de
gree
in
Mathe-
matics
and
Applications
from
Hassan
1st
Uni
v
ersity
,
Settat,
Morocco.
He
is
currently
a
Ph.D.
student
in
Applied
Mathematics
and
Computer
Science
at
Computer
,
Netw
orks,
Mobility
and
Modeling
lab-
oratory
,
F
aculty
of
Sciences
and
T
echniques,
Hassan
1st
Uni
v
ersity
,
Settat,
Morocco.
His
research
interests
include
Information
theory
,
stochastic
processes,
Mark
o
v
chains
and
their
applications
for
modeling
wireless
netw
orks.
F
eatur
es
detection
based
blind
hando
ver
using
kullbac
k
leibler
distance
for
...
(Adnane
El
Hanjri)
Evaluation Warning : The document was created with Spire.PDF for Python.
202
r
ISSN:
2252-8938
Aa
w
atif
Hayar
recei
v
ed,
with
honors
as
the
First
Moroccan,
the
de
gree
of
”Agre
g
ation
Genie
Elec-
trique”
from
Ecole
Normale
Superieure
de
Cachan
in
1992.
She
recei
v
ed
the
”Diplome
d’Etudes
Ap-
profondies”
in
Signal
processing
Image
and
Communications
and
the
de
gree
of
Engineer
in
T
elecom-
munications
Systems
and
Netw
orks
from
ENSEEIHT
de
T
oulouse
in
1997.
She
recei
v
ed
with
honors
the
Ph.D.
de
gree
in
Signal
Processing
and
T
elecommunications
from
Institut
National
Polytechnique
in
T
oulouse
in
2001.
She
w
as
research
and
teaching
associate
at
EURECOM’
s
Mobile
Communica-
tion
Department
from
2001
to
2010
in
Sophia
Antipolis-Fra
nce.
Aa
w
atif
Hayar
has
an
HDR
(Habil-
itation
a
Diriger
la
Recherche)
from
Uni
v
ersity
Sud
T
oulon
V
ar
from
France
on
Cogniti
v
e
W
ideband
W
ireless
Systems
on
2010
and
an
HDR
on
Green
T
elecommunication
from
Uni
v
ersity
Hassan
II
Casablanca
(UH2C)
on
2013.
She
has
joined
in
2011
the
engineering
school
ENSEM-UH2C.
Her
research
interests
includes
fields
such
as
cogniti
v
e
green
communications
systems,
UWB
systems,
smart
grids,
smart
cities,
ICT
for
s
ocial
eco-friendly
smart
socio-economic
de
v
elopment.
Aa
w
atif
Hayar
w
as
a
Guest
Editor
of
Else
vier
Ph
ycom
Journal
Special
i
ssue
on
Cogniti
v
e
Radio
Algorithms
and
System
Design
in
2009
and
General
Co-chair
of
Cro
wncom2010
(France)
,
IW2GN2011,
IEEE
DL
T
Chair
for
EMEA
re
gion
since
2014.
General
co-chair
of
ICT
2013
Conference,
A
w
ards
Chair
for
ICUWB2014
conference
and
T
echnical
Program
Committee
co-chair
for
Ne
xt-Gwin
W
orkshop
in
2014.
She
recei
v
ed
with
one
of
her
PhD
students
the
”best
student
paper”
a
w
ard
at
CogArt2010
and
has
a
patent
on
sub
space
based
blind
sensing
for
cogniti
v
e
radio.
Aa
w
atif
Hayar
is
currently
leading
or
in
v
olv
ed
in
a
couple
of
R&D
projects
on
Social
Smart
home,
smart
grids
and
frug
al
smart
cities.
Pr
.
Aa
w
atif
Hayar
is
currently
leading
the
Casablanca
IEEE
Core
Smart
city
project,
and
the
Hassan
II
Uni
v
ersity
President.
Abdelkrim
Haqiq
has
a
High
Study
De
gree
and
a
PhD
,
both
in
the
field
of
modeling
and
performance
e
v
aluation
of
computer
communication
netw
orks,
from
the
Uni
v
ersity
of
Mohammed
V
,
Agdal,
F
ac-
ulty
of
Sciences,
Rabat,
Morocco.
Since
September
1995
he
has
been
w
orking
as
a
Professor
at
the
department
of
Mathematics
and
Computer
at
the
F
aculty
of
Sciences
and
T
echniques,
Settat,
Mo-
rocco.
He
is
the
Director
of
Computer
,
Netw
orks,
Mobility
and
Modeling
laboratory
.
He
is
also
the
General
Secretary
of
the
electronic
Ne
xt
Generation
Netw
orks
(e
-NGN)
Research
Group,
Moroccan
section.
He
is
an
IEEE
Senior
member
and
an
IEEE
Communications
Society
member
.
He
is
also
a
member
of
Machi
ne
Intelligence
Research
Labs
(MIR
Labs),
W
ashington,
USA.
He
w
as
a
co-director
of
a
N
A
T
O
Multi-Y
ear
project
entitled
”Cyber
Security
Analysis
and
Assurance
using
Cloud-Based
Security
Measurement
system”,
ha
ving
the
code:
SPS-984425.
Dr
.
Abdelkrim
HA
QIQ’
s
interests
lie
in
the
areas
of
modeling
and
performanc
e
e
v
aluation
of
communication
netw
orks,
mobile
com-
munications
netw
orks,
cloud
computing
and
security
,
queueing
theory
and
g
ame
theory
.
He
is
the
author
and
co-author
of
more
than
160
papers
(international
journals
and
conferences/w
orkshops).
He
is
also
a
member
of
the
board
of
the
International
Journal
of
Intelligent
Engineering
Informat-
ics.
He
is
an
associate
editor
of
the
Inte
rnational
Journal
of
Computer
International
Systems
and
Industrial
Management
Applications
(IJCISM),
an
editorial
board
member
of
the
International
Jour
-
nal
of
Intelligent
Engineering
Informatics
(IJIEI)
and
of
the
International
Journal
of
Blockchains
and
Cryptocurrencies
(IJBC),
an
international
advisory
board
member
of
the
International
Journal
of
Smart
Security
T
echnologies
(IJSST)
and
of
the
International
Journal
of
Applied
Research
on
Smart
Surv
eillance
T
echnologies
and
Society
(IJ
ARSSTS).
He
is
also
an
editorial
re
vie
w
board
of
the
In-
ternational
Journal
of
F
og
Computing
(IJFC)
and
of
the
International
Journal
of
Digital
Crime
and
F
orensics
(IJDCF).
Int
J
Artif
Intell,
V
ol.
9,
No.
2,
June
2020
:
193
–
202
Evaluation Warning : The document was created with Spire.PDF for Python.