In this paper, a novel closed form expressions for the area under the receiver operating characteristic curve (AUC) of an energy detector is measured over generalized fading channel in terms of computable Meijer G-function. We consider the reporting channel in the Multiple-Input Multiple-Output (MIMO) based centralized cooperative spectrum sensing is experiencing a κ - μ fading channel. We assume an Additive White Gaussian (AWGN) as a sensing channel. In the reporting network, each secondary user (SU) and fusion center (FC) is equipped with multiple antenna. We consider the FC has Maximum Ratio combiner (MRC) to estimate received signal from SU and an energy detector to make the decision. The arrived low complex Meijer G-function analytical expression of AUC over generalized fading channel delivers the different conventional fading parameters of all reporting channels, also it is generalized for MIMO scenario. The derived analytical expressions of the AUC are validated by numerical computations over generalized channel with various multiple antenna scenario. © 2016 IEEE.