Digital Signal Processing Reference
In-Depth Information
Smoothing method with backward divided sub-array, the i-th array data vector is
[
]
x
xt x x
b
i
()
=
(4)
M i
−+
1
M i
M m i
− −+
2
So the backward spatial smoothing correction of the data matrix is
p
1
R
b
=
R
b
pi
−+
1
p
i
=
1
p
1
=
A DRDA
(
−+−
(
mi
2)
(
mi
+−
2)
)
H
+
σ
2
I
s
p
i
=
1
=
AR A
bH
S
+
σ
2
I
(5)
3.2
3.2 Simulation
Two sources, the number of array elements N = 8, the array element spacing d = 0.5,
the signal-to-noise ratio is equal to zero, before and after the use of space smoothing
MUSIC algorithm can effectively estimate the two coherent signals to wave direction,
and the accuracy of high in Fig.3..
Fig. 3. The forward spatial smoothing MUSIC algorithm simulation Figure
4
System Simulation
Under the same conditions, in order to improve the accuracy of the frequency
measurement, the only way is to increase the length of the FFT, because frequency
point can not be just at discrete points. However, the spectrum around the peak
amplitude of a partial response in real frequency of position information. Frequency
estimates reflect exactly the peak in the spectrum and neighboring spectral lines
 
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