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In this paper, the authors propose an iteration-free algorithm to find the optimal configuration, including transmit power and source coding rates, to maximize the lifetime of a cluster utilizing Slepian-Wolf source coding of data sent to a fusion center. Exact closed form solutions are derived when the fusion center is not energy constrained. When the fusion center is energy constrained, a near optimum solution is provided. Numerical results demonstrating the performance of the proposed algorithms are also provided.
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