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This paper investigates the problem of relay selection and optimal power allocation in micro-power wireless network under the total power constrain. We first propose the relay selection strategy by using the greedy algorithm in which the power is allocated equally. Then we transform the problem into a convex optimization one by using the high SNR approximation and its equivalent form under the optimal condition. A closed-form result can be obtained with the Lagrange method. Using the Lagrange'sdoi:10.12783/dtetr/sste2016/6509 fatcat:lmdegrc6rffefeggos44pqvq3e