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The closed-form expression in (54) shows the impact of the intruder on the network.

With the above analysis, we now investigate the closed-form expression for the ergodic rate.

It is difficult to obtain the closed-form expression for the above equations.

From Lemma 4, we can calculate the closed-form expression for : (48).

We focus on the special case to derive the closed-form expressions.

Figure 8 represents the close-form expression and asymptotic expression of connection outage probability of the typical D2D link.

Based on them, the close-form expression of the optimal solution is then derived.

Then, the exact closed-form expression for the system OP is stated in Theorem 1.

Second, the approximate closed-form expression for the outage probability of SLR is derived.

For small values of, we are able to give the following closed-form expression.

By including the spatial information, the authors derive a closed-form expression for the ergodic capacity.

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