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In this paper, we study optimization of multi-tone signals for wireless powertransfer (WPT) systems. We investigate different non-linear energy harvestingmodels. Two of them are adopted to optimize the multi-tone signal according tothe channel state information available at the transmitter. We show that asecond-order polynomial curve-fitting model can be utilized to optimize themulti-tone signal for any RF energy harvester design. We consider bothsingle-antenna and multi-antenna WPT systems. In-band co-existing communicationlinks are also considered in this work by imposing a constraint on the receivedpower at the nearby information receiver to prevent its RF front end fromsaturation. We emphasize the importance of imposing such constraint byexplaining how inter-modulation products, due to saturation, can cause highinterference at the information receiver in the case of multi-tone signals. Themulti-tone optimization problem is formulated as a non-convex linearlyconstrained quadratic program. Two globally optimal solution approaches usingmixed-integer linear programming and finite branch-and-bound techniques areproposed to solve the problem. The achieved improvement resulting from applyingboth solution methods to the multi-tone optimization problem is highlightedthrough simulations and comparisons with other solutions existing in theliterature.

Multi-tone Signal Optimization for Wireless Power Transfer in the Presence of Wireless Communication Links