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Table 1 Possibilities of spectrum sensing results for MUEs

From: Distributed resource allocation with imperfect spectrum sensing information and channel uncertainty in cognitive femtocell networks

 

Sensing state

Actual state

Probability

Case 1

\(S^{n}_{0}\)

\(H^{n}_{0}\)

\(P_{1,n}=Pr\{H^{n}_{0}|S^{n}_{0}\}\)

Case 2

\(S^{n}_{1}\)

\(H^{n}_{0}\)

\(P_{2,n}=Pr\{H^{n}_{0}|S^{n}_{1}\}\)

Case 3

\(S^{n}_{0}\)

\(H^{n}_{1}\)

\(P_{3,n}=Pr\{H^{n}_{1}|S^{n}_{0}\}\)

Case 4

\(S^{n}_{1}\)

\(H^{n}_{1}\)

\(P_{4,n}=Pr\{H^{n}_{1}|S^{n}_{1}\}\)