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In cognitive radio (CR) systems, primary user detection has a crucial importance. In this paper, we propose an effective collaborative spectrum sensing scheme, which is based on energy detection, for primary-user detection in multiuser CR systems. The proposed scheme is designed to exploit different channel fading between primary and multiple CR users with only the minimum prior information. We derive the distribution of decision statistic for the case of the random distance and the Rayleigh fading channel. The numerical results show that the proposed scheme outperforms the traditional schemes in terms of sensing accuracy.