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Wireless power transmission (WPT) is expected to play an important role inthe Internet of Things services by providing the perpetual operation of IoTsensors. However, to prolong the IoT network's lifetime, the efficient resourceallocation algorithm is required, in particular, the energy fairness issueamong IoT sensors has been a critical challenge of the WPT system. In thispaper, considering energy fairness as the minimum received energy of all energypoverty IoT sensors (EPISs), we allocate orthogonal frequency bands to severalEPISs and transfer the RF power on each orthogonal band, using energybeamforming. Based on the energy poverty, we propose orthogonal frequency bandsassignment rule, granting the priority to the EPISs with less received energy.We also formulate two transmission power allocation problems, incorporated thenonlinear logarithm-energy harvesting (EH) model. First, the total receivedpower maximization (TRPM) problem is presented and solved by combining thewell-known Karush-Kuhn-Tucker (KKT) conditions with the modified water-fillingalgorithm. Second, the common received power maximization (CRPM) problem isformulated and the optimal solution is derived using the iterative bisectionsearch method. To apply the bisection search method to the problem, this paperproposes a method of specifying the scope of the solution for the objectivefunction defined by the sum of monotonous functions. In numerical results,assuming the mobility of EPISs by the one-dimensional random walk model, theeffectiveness of the mobility of EPISs on the minimum received energy of allEPISs is presented. Finally, the performance of the proposed resourceallocation schemes is verified by comparing other resources allocation schemes,such as Round robin and equal power distribution

Joint Orthogonal Band and Power Allocation for Energy Fairness in WPT System with Nonlinear Logarithmic Energy Harvesting Model