Digital Signal Processing Reference
In-Depth Information
(a)
(b)
(c)
(R) =
2, = 0.
1
(R)
=
2, = 1.
5
(R)
=
2, = 2.
5
3
3
4
2.5
2.5
3
2
2
2
1.5
1.5
1
1
1
0
0.5
0.5
−1
0
0
−1
0
1
−1
0
1
−2
0
2
w
1
(n)
w
1
(n)
w
1
(n)
0
0
10
8
−50
−50
6
−100
−100
(R) = 1
(R) = 2
(R) = 1
(R) = 2
4
−150
−150
2
−200
−200
0
0
50
100
150
200
0
10
20
30
0
1
2
3
Iteration number
Iteration number
Iteration number
Fig. 3.2
Same as in Fig.
3.1
but with
5 in c). In the stable scenarios, the
mismatch curves are being compared with the ones from previous
χ(
R
x
)
=
2and
μ
=
2
.
χ(
R
x
)
and using the same
μ
(a)
(b)
(c)
(R) =
10
, = 0.
1
(R) = 1
0
, = 1.
5
(R) = 10, = 2.05
3
3
3
2.5
2.5
2.5
2
2
2
1.5
1.5
1.5
1
1
1
0.5
0.5
0.5
0
0
0
−1
0
1
−1
0
1
−1
0
1
w
1
(n)
w
1
(n)
w
1
(n)
0
0
4
3
−50
−50
2
−100
−100
1
(R) = 1
(R) = 2
(R) = 10
(R) = 1
(R) = 2
(R) = 10
−150
−150
0
−200
−200
−1
0
50
100
150
200
0
10
20
30
0
5
10
Iteration number
Iteration number
Iteration number
Fig. 3.3
Same as in Fig.
3.1
but with
χ(
R
x
)
=
10. In the stable scenarios, the mismatch curves are
being compared with the ones from previous
χ(
R
x
)
and using the same
μ
associated to
λ
max
. The fact that the magnitude of mode
min
is further away from 1 in
comparison with the one of mode
max
makes the mismatch to decrease slightly in the
first few iterations before the divergent mode becomes more prominent and causes
the mismatch do increase monotonically.
In Fig.
3.4
we study two more scenarios with
χ(
R
x
)
=
10. Firstly, for
μ
=
0
.
8
(mode
max
=
0
.
2 and mode
min
=
0
.
92), we see a more accentuated version of the
