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1
(7.15)
The two-dimensional
case (12 cells in the expansion area, according to Fig. 7.6.
all have the same uncertainty):
0
0
ue
u
12.
u
2
1.
(7.16)
ue
u
For the cells within the
active area
the uncertainty indexes
ua
are also com-
puted by averaging over all cells within that area:
The one-dimensional case
(five cells in the active area, see Fig. 7.5.):
1
ª
º
0
0
(7.17)
ua
23
u
u
4
u
5.
¬
¼
5
The two-dimensional case
(nine cells in the active area, according to Fig. 7.6):
1
ª
º
0
0
(7.18)
ua
43
u
u
4
u
5.
¬
¼
9
(b)
Case 2:
(MSB = 0, LSB = 1). In this case, the stable quiescent state
always alternates from “0” to “1”. Here we should take special care in
computing the uncertainty indexes because quite often may happen
that if the starting quiescent state is “0” there will be no growing in the
next state. Still, because the quiescent state changed to “1” in the sec-
ond iteration it would be possible to have a growing so that the system
will behave in the long run as a “growing one”. Therefore we must
average
ue
and
ua
for both cases of “0” and “1” quiescent states as
follows:
The average uncertainty of the expansion area
The one-dimensional case
(four cells in the expansion area, see Fig. 7.5.):
1
(7.19)
ue
u
1212.
0
u
0
u
1
u
1
4
The two-dimensional case
(12 cells in the expansion area, according to Fig. 7.6.
all have the same uncertainty):
1
0
1
(7.20)
ue
u
11.
u
2
The average uncertainty index
ua
The one-dimensional case
(five cells in the active area, see Fig. 7.5.):
1
ª
º
(7.21)
ua
23
u
0
u
4
0
23
u
1
u
4
1
25.
u
¬
¼
10
The two-dimensional case
(nine cells in the active area, according to Fig. 7.6):
1
ª
0
0
1
1
º
(7.22)
ua
43
u
u
4
43
u
u
4
25.
u
¬
¼
18
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