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In this paper, we suggest a method to estimate the carrier to interference ratio (CIR) information of the uplink using the power control ON-OFF commands at the mobile station (MS). The estimated CIR information is used to adjust the transmitted power from the mobile terminal using the distributed constrained power control (DCPC) algorithm. The main advantage of our algorithm is that it can improve the performance of power control without any increase in power control signaling. The suggested algorithm is compared with the conventional fixed step power control (FSPC) algorithm by computer simulations. Considerable improvements in system performance are observed when using the suggested algorithm in comparison with the FSPC algorithm.