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Exact(6)
For higher WNRs, the maximum coalition size depends mainly on the other parameters, resulting in a maximum coalition size limit which is independent of the WNR.
At low WNRs, both systems show a similar behavior: the maximum coalition size grows approximately as C=O(σ W /σ N ) and we observe a fixed ratio (approximately equal to two) between the maximum coalition size of random LUTs and Tardos codes.
(a) Average maximum coalition size for selfish and altruistic coalition formation solutions, when the values of (the time spent for reporting a sensing decision to the coalition head) are varied between 0.001 ms to 0.017 s, and m.
We explicitly make the distinction between the actual coalition size c and the parameter c0 in the code construction, which is the maximum coalition size that can be resisted.
Figure 8 Average maximum coalition size for selfish and altruistic coalition formations, when parameter (distance between the primary base station and the center of the CR network, see Figure 1) is varied between 0 m to 4500 m, msec and CRs.
Given a fingerprint length L and a maximum coalition size C, the server generates the random numbers p l ∈[δ,1−δ], l=0,…,L−1 according to the probability density function (f(p) = left (left (pi - 4arcsin sqrt {delta }right)sqrt {p 1-p }right)^{p 1-p }rightthe parameter δ satisfies δ C≪1 (Tardos suggests δ=1/(300C)).
Similar(53)
We also determine average maximum coalition sizes for both altruistic and selfish coalition formation solutions.
In Figure 8, we vary the parameter (distance between the primary user base station and the center of the distributed CR network, see Figure 1), and show average maximum coalition sizes for the selfish and altruistic coalition formation solutions.
However, for a given the coalitional false alarm probability given by (10) is an increasing function of coalition size.
We assess antileakage measures as a function of abatement coalition size.
a Throughout this paper, the term asymptotic refers to the limit of large coalition size.
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