0
0.5 0.6 0.7 0.8 0.9 1
Single rule 90 approach
0
0.65 0.7 0.75 0.8 0.85 0.9 0.95
Single rule 30 approach
0
0.65 0.7 0.75
Mixed rule approach
Figure 2.8: Histogram of three implementation of CA–based SNG with the
expected probability 0.7
It can be shown in Fig.2.8 the
distribution when generate 10000 samples by considering three imple-
mentation of CA–based SNG: rule 90, rule 30 and Mixed rule
90/165. Single rules give more values which are close to
the central one 0.7 than mixed rule, and rule 30 has the
best performance. However, these single rules have the
distribution which spread over a larger range than one of mixed
rule. That is reason why the mixed rule seems better than others
when consider the results shown in Table
2.2. This can be seen as a good
feature of fixed rule about statistic evaluation.
For more clearly in comparison between single rule and
mixed rule method, the implementations of rule 90 and rule
90/165 will be examined. Table
2.2 shows that mixed rule
90/165 has a better statistic characteristic in comparison with
single rule 90. Moreover, it can be equally seen that when
consider the Empirical CDF functions in
Fig.2.9, mixed rule (in red)
have a better performance than single
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
x
Figure 2.9: Histogram of three approaches of LFSR–based SNG with the
expected probability 0.7