
102 ◾ Cyber-Physical Systems
8.4.2 CSP and Application
ere are a few requirements for the design measurement matrix in the CS applications. rough
eorem 8.1 [3], after the Kth order of the RIP measurement matrix was constructed, we can
recover the original signal with certain accuracy as follows:
ˆ
xxxx
xxxx
−≤∈+
−
=
+
−+
=
−
2
01
1
1
4
1
2
1
CC ,where
0
K
δ
δ
(
−
−+
δ
δ
H
nm
H
nm
Figure 8.17 Sparse binary matrix after using threshold.
1 2 3
4 5
6 7 8 9
1
2
3
4
5
6
7
8
9
0
0.
0.
0.
0.
0.
0.
PU2
PU1
PU3
Figure 8.16 Cluster with three PUs in simulation (the color depth represents channel use percentage).