Digital Signal Processing Reference
In-Depth Information
10 -1
10 -2
10 -3
MLP
10 -4
Proposed NN
10 -5
0
10
20 30
× 5,000 Iterations
40
50
FIgure 5.10
Fault detection: learning curves.
0.7
g 1 ( x )
0.6
NN 1 ( x )
g 1 ( x )
0.5
NN 1 ( x )
0.4
Before change
0.3
0.2
After change
0.1
0
0
0.5
1
1.5
2
x
FIgure 5.11
g 1 ( x ) and NN 1 ( x ) (normalized) before and after the change.
shown in the figure) were correctly identified as well. We have studied other MIMO sys-
tems with higher dimensions (3 × 3 and 4 × 4 systems) in which we simulated changes in
more than one nonlinearity; the proposed NN model was always capable of character-
izing the changes.
On the other hand, the black-box MLP structure could not characterize the change. By
looking at the MLP learning curve (Figure 5.10), one could only predict that “something
 
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