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In this paper, we study integrated base-station assignment, diversity, and power control (IBDP) and show that the optimal base-station assignment and the optimal feasible power can be obtained by solving a set of equations. A signal-to-interference-and-noise ratio (SINR) feedback-based algorithm, which is not limited by the initial base-station assignment and can meet the power constraint at all times, is proposed to solve this set of equations in a distributed manner. It is proven that the proposed algorithm can converge to the optimal base-station assignment and the optimal feasible power, which result in the maximal probability of feasibility and the minimal power consumption. In addition, it is shown that the proposed algorithm consumes less computational complexity than the previous algorithm. In addition, we further propose the rate control algorithm that works with the SINR feedback-based algorithm to satisfy the throughput requirement.