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In the open literature, it is shown that the received carrier-to-interference ratio (OR) in cellular mobile systems can be maintained within the desirable range provided that the path gain remains approximately constant over a number of consecutive power control steps. However, when channels suffer short-term fading, it is not clear whether existing power control algorithms remain convergent. This paper proposes a distributed fixed-step power control algorithm with binary feedback via window concept for cellular mobile systems. The performance of the proposed scheme is analyzed in short-term fading channels. A sufficient condition for system stability is derived using a simple received CIR model and a power control window. It is shown that the bound of the received CIR of each user varies as a function of the target CIR, the size of the power control step, and the link gain.