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When the user channel experiences Nakagami-m fading, the coverage probabilityexpressions are theoretically compared for the following cases: (i). The Ninterferers are independent $\eta$-$\mu$ random variables (RVs). (ii). The Ninterferers are correlated $\eta$-$\mu$ RVs. It is analytically shown that thecoverage probability in the presence of correlated interferers is greater thanor equal to the coverage probability in the presence of independent interfererswhen the shape parameter of the channel between the user and its base station(BS) is not greater than one. Further, rate is compared for the followingcases: (i). The user channel experiences $\eta$-$\mu$ RV and the $N$interferers are independent $\eta$-$\mu$ RVs. (ii). The N interferers arecorrelated $\eta$-$\mu$ RVs. It is analytically shown that the rate in thepresence of correlated interferers is greater than or equal to the rate in thepresence of independent interferers. Simulation results are provided and thesematch with the obtained theoretical results. The utility of our results arealso discussed.

Impact of Correlation between Interferers on Coverage Probability and rate in Cellular Systems