Source-Sum-Power Minimization in Multi-Sensor Single-Relay Networks with Direct Links


boldmath This letter provides power allocation that minimizes supply-add-power in wireless multi-sensor single-relay networks with direct links. As relaying ways, amplify-and-forward (AF) and decode-and-forward (DF) are examined, respectively. For DF relaying, an actual optimal power allocation is provided by using Karush-Kuhn-Tucker (KKT) condition, however a suboptimal allocation is presented for AF relaying since the problem becomes non-convex in AF case. Numerical investigation is used to verify the optimality of the proposed solutions, to check the source-power consumptions with and without the direct link and to examine the result of relay location on the facility consumption.

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