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In this paper, we investigated the distributed detection problem in wireless sensor networks with parallel configuration. A decentralized binary hypothesis testing problem is considered that local sensors made their own decision and transmit it to the fusion center. Using the Central Limit Theorem, we determined the optimum threshold for fusion center when local detection and false alarm rates are present. Numerical examples shows that the proposed method is valid for fading channels and gives the accurate threshold value as a simplifier way than exhaustive search when channel state information is known .