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Table 1 Main parameters

From: An enhanced sum rate in the cluster based cognitive radio relay network using the sequential approach for the future Internet of Things

Parameters Meaning
\(H(H_0/H_1)\) Hypotheses (absent/present)
\(\tau _s(\tau _s^{con}/\tau _s^{prop})\) Sensing time slot (in the conventional non-sequential approach/ in the proposed sequential approach)
\(\tau _r(\tau _{r,SU}/\tau _{r,CH})\) Reporting time slot (reporting time slot at the SU/CH)
\(P_{f,k}^{con(0)}\) Probability of false alarm in the conventional non-sequential approach with no relay at the kth cluster
\(P_{f,k}^{prop(1)}\) Probability of false alarm in the proposed sequential approach with a relay at the kth cluster
\(P_{f,k}^{prop(2)}\) Probability of false alarm in the proposed sequential approach with no relay at the kth cluster
\(P_{d,k}^{con(0)}\) Probability of detection in the conventional non-sequential approach with no relay at the kth cluster
\(P_{d,k}^{prop(1)}\) Probability of detection in the proposed sequential approach with a relay at the kth cluster
\(P_{d,k}^{prop(2)}\) Probability of detection in the proposed sequential approach with no relay at the kth cluster
\(P_{f, k}^{*}\) The optimal probability of false alarm at the kth cluster
\(\lambda _k^{con}\) Decision threshold in the conventional non-sequential approach with no relay at the kth cluster
\(\lambda _k^{prop}\) Decision threshold in the proposed sequential approach with a relay at the kth cluster
\(P_{f,FC}^{m}/P_{d,FC}^{m}\) Global decision under binary hypotheses at the FC, here m stands for (0, 1, 2)
\(P_t/\gamma _j/\gamma _k\) Amplify power at each SU/ the signal to noise ratio at the jth SU/ the signal to noise ratio at the kth cluster
\(Q(\cdot)/Q^{-1}(\cdot)\) Gaussian/ inverse Gaussian tail function
\(\delta _d\) The network end-to-end delay in the conventional non-sequential approach with no relay/the proposed sequential approach with and without a relay