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Signal to interference plus noise ratio (SINR)-based call admission control schemes admit calls as long as SINR is higher than a threshold value (SINRth). Setting a relatively low SINRth results in more users admitted into the system and this in turn yields an increased outage probability (Pout). Hence, determining the lower bound of SINRth (SINRth_lb) is vital to keep Pout below a maximum value, Pout_maxx. In this letter, we derive SINRth_lb in the reverse link of CDMA systems with imperfect power control by finding the relationship between Pout (due to power control infeasibility and SINR fluctuation) and SINRth. Then, SINRth_lb is determined as the lowest SINRth that keeps Pout below a certain Pout_max.