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Table 2 The solution of the optimization problem in the Rayleigh fading environment.

From: Optimization of cooperative spectrum sensing with sensing user selection in cognitive radio networks

Find the optimal k, {w i , 1 ≤ i ≤ k}, {γ i , 1 ≤ i ≤ k}, τ s , ε that maximize R.

   For k = 1, 2, ..., N

According to the Proposition 2, find the optimal {γ i , 1 ≤ i ≤ k} associated with k;

According to the Proposition 1, find the optimal {w i , 1 ≤ i ≤ k} associated with k;

From (28), find the optimal ε associated with k;

Find the optimal Ï„ s associated with k through solving the optimization problem P4, and get the maximal throughput R k associated with k;

End

Find the optimal k * = argmax 1 ≤ k ≤ N { R k } , and get the optimal {w i , 1 ≤ i ≤ k}, {γ i , 1 ≤ i ≤ k}, τ s , and ε associated with k*.