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Cognitive radio (CR) technology has attracted dramatic attentions recently because it has an ability to dynamically adapt to local spectrum availability and improves the radio spectrum utilization. In this paper, we propose a channel allocation algorithm where the base station allocates a channel to the secondary user by using the primary user arrival pattern. The proposed scheme selects a channel where the primary user arrives least frequently and limits the secondary user's allocation time to reduce interference to the primary user. Performance analysis shows that the proposed channel allocation algorithm can limit the secondary users' interference to the primary user up to 80%.