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In this paper a new channel allocation scheme is proposed and analyzed for real time traffic. There is no division of channels into groups. Two thresholds (lower and higher) are taken depending on the signal strength of the mobile host in the cell. The handoff calls have the right of preemption over the originating calls with signal strength less than the lower threshold value. The performance of the system is evaluated in terms of handoff dropping probability, originating call blocking probability and the channel utilization.