Int.
J.
Electron.
Commun.
(AEÜ)
67 (2013) 947–
954
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International
Journal
of
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and
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(AEÜ)
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ur
nal
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Parameter
estimation
based
on
fractional
power
spectrum
under
alpha-stable
distribution
noise
environment
in
wideband
bistatic
MIMO
radar
system
Li
Li
a,b
,
Tian-shuang
Qiu
a,∗
,
De-rui
Song
c
a
Faculty
of
Electronic
Information
and
Electrical
Engineering,
Dalian
University
of
Technology,
Dalian
116024,
China
b
Information
Engineering
College,
Dalian
University,
Dalian
116622,
China
c
National
Marine
Environmental
Monitoring
Center,
Dalian
116023,
China
a
r
t
i
c
l
e
i
n
f
o
Article
history:
Received
16
November
2012
Accepted
14
May
2013
Keywords:
Wideband
bistatic
MIMO
radar
Alpha-stable
distribution
model
Parameter
estimation
FLOS-FPSD-MUSIC
algorithm
FLOS-FPSD-ESPRIT
algorithm
a
b
s
t
r
a
c
t
This
paper
takes
the
alpha-stable
distribution
as
the
noise
model
and
works
on
the
parameter
estima-
tion
problem
of
wideband
bistatic
Multiple-Input
Multiple-Output
(MIMO)
radar
system
in
the
impulsive
noise
environment.
In
many
applications,
it
is
not
appropriate
to
approximate
the
wideband
signal
by
the
narrowband
model.
Furthermore,
the
echo
signal
may
be
corrupted
by
the
non-Gaussian
noise.
The
con-
ventional
algorithms
degenerate
severely
in
the
impulsive
noise
environment.
Thus,
this
paper
proposes
a
new
wideband
signal
model
and
a
novel
method
in
wideband
bistatic
MIMO
radar
system.
It
com-
bines
the
fractional
lower
order
statistics
and
fractional
power
spectrum,
for
suppressing
the
impulse
noise
and
estimating
parameters
of
the
target.
Firstly,
a
new
signal
array
model
is
proposed
under
the
alpha-stable
distribution
noise
model.
Secondly,
Doppler
stretch
and
time
delay
are
jointly
estimated
by
peak
searching
of
the
FLOS-FPSD.
Furthermore,
two
modified
algorithms
are
proposed
for
the
estimation
of
the
direction-of-departure
and
direction-of-arrival,
including
the
fractional
power
spectrum
density
based
on
MUSIC
algorithm
(FLOS-FPSD-MUSIC)
and
the
fractional
lower-order
ambiguity
function
based
on
ESPRIT
algorithm
(FLOS-FPSD-ESPRIT).
Simulation
results
are
presented
to
verity
the
effectiveness
of
the
proposed
method.
© 2013 Elsevier GmbH. All rights reserved.
1.
Introduction
Multiple-Input
Multiple-Output
(MIMO)
system
has
attracted
more
and
more
attention
for
its
ability
to
enhance
system
per-
formance
[1–14].
A
MIMO
radar
system
consists
of
both
transmit
and
receive
sensors,
with
the
transmit
sensors
having
the
ability
to
transmit
orthogonal
waveforms.
At
present,
target
localization
and
parameter
estimation
has
received
much
research
attention
in
narrowband
bistatic
MIMO
radar
system
[4–12].
Ref.
[4]
proposes
an
algorithm
based
on
the
combination
ESPRIT-MUSIC
approach
to
estimate
the
direction-
of-departure
(DOD)
and
direction-of-arrival
(DOA)
of
targets
in
bistatic
MIMO
radar.
In
[5],
in
order
to
avoid
angle
searching,
ESPRIT
algorithm
is
applied
to
bistatic
MIMO
radar
by
exploiting
the
invariance
property
of
the
transmitter
and
the
receiver.
In
[6],
a
direction-of-arrival
estimation
method
for
coherent
sources
is
presented
for
MIMO
radar.
In
[7],
the
parallel
factor
is
proposed
to
estimate
DOD–DOA
and
Doppler
frequency
of
bistatic
MIMO
radar.
∗
Corresponding
author.
Tel.:
+86
411
84709573;
fax:
+86
411
84709573.
E-mail
addresses:
ffsimple@163.com
(L.
Li),
qiutsh@dlut.edu.cn,
dlutsimple@163.com
(T.-s.
Qiu),
drsong@nmemc.gov.cn
(D.-r.
Song).
As
mentioned
above,
these
methods
have
obtained
good
per-
formance
in
terms
of
parameter
estimation
in
narrowband
radar
system,
in
many
applications;
however,
it
is
not
appropriate
to
estimate
the
wideband
signal
by
the
narrowband
model.
With
the
development
of
electronic
devices’
manufacture
and
signal
processing
techniques,
wideband
radar
has
attracted
a
great
deal
of
interest
[13–15].
However,
these
existing
methods
have
cer-
tain
limitations.
Qu
et
al.
[13]
estimates
time
delay
and
Doppler
stretch
for
wideband
signals
based
on
the
wideband
ambiguity
function,
but
it
did
not
estimate
the
DOD
and
the
DOA
which
are
also
very
important
for
target
localization
accuracy
in
bistatic
MIMO
radar.
Ma
and
Goh
[14]
proposes
two
novel
methods
for
broadband
chirp
DOA
estimation,
Chen
and
Zhao
[15]
proposes
a
method
of
DOA
estimation
for
wideband
coherent
acoustic
sources
based
on
coherent
signal-subspace,
and
Yoon
et
al.
[16]
introduces
a
new
DOA
estimation
algorithm
for
wideband
sources
called
test
of
orthogonality
of
projected
subspaces,
these
methods
obtain
good
performance
for
DOA
estimation
of
wideband
signal,
however,
they
did
not
estimate
the
Doppler
and
time
delay
which
are
also
very
crucial
for
the
determination
of
the
range
and
velocity
of
the
target
in
wideband
bistatic
MIMO
radar.
At
present,
we
seldom
find
the
study
of
joint
estimation
for
Doppler,
time
delay,
DOD
and
DOA
in
wideband
bistatic
MIMO
radar,
which
should
be
studied
deeply
for
target
tracking
and
target
localization.
So,
in
this
paper,
we
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matter ©
2013 Elsevier GmbH. All rights reserved.
http://dx.doi.org/10.1016/j.aeue.2013.05.006