Geoscience Reference
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Fig. 5. MSE of estimated Doppler in the conventional and proposed methods.
and the value which our method has estimated for it, and the normalized mean square value
of this error is equal to 10
−
5
.
6.2 Radar tracking results
In the following, radar tracking results are presented based on the time delay and Doppler
estimations.
The original frequency of the signal emitted from the radar,
f
t
, is considered
10
GHz
.
A target is at cartesian coordinate
(
10000
m
, 10000
m
, 10000
m
)
. It moves with the
velocity
v
x
=
10 m/s and in the following
75 sec,
v
z
=+20 m/s. At first, for SNR=+10dB, test is done for the non-recursive proposed
moment method and two recursive conventional methods: EKF [Park & Lee, 2001] and PF
[Jian et al., 2007]. The results have been traced for 100 epochs with one second interval and
can be seen in figures (7) and (8) as MSE of the estimated position and velocity.
10
m
/
s
,
v
y
=
10
m
/
s
. In the first 25 sec,
v
z
=
−
Two points are worth noting in this figures. EKF and PF methods are recursive, so the related
curves are decreasing and at first, have not acceptable results. We need some time to have
suitable results. In vital application like military, less needed time leads us to a better real-time
system and gives the opportunity to react faster. So, a non-recursive method can be valuable.
