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This paper proposed a random multi-access protocol STPRM-A (slotted three-dimension probability random multi-access protocol with acknowledgement) for wireless communication. Performance of STPRM-A was evaluated by mathematical expression of channel throughput and delay of packet. The characteristic comparison between STPRM-A and PDPMRM was present. Experiment and simulation results validated correction of theoretical analysis, which also indicated that acknowledgement mechanism could affect transmission efficiency of wireless communication obviously.