Inerrant-Bits Consumption for Over-the-Air Computation-based Multi-tier Computing

Abstract

In this paper, we propose an novel performance metric inerrant-bits consumption (IBC) in an Over-the-Air computation (AirComp) based multi-tier computing system to evaluate the computation efficiency, which is based on the total task computation and communication energy consumptions. Then we solve an optimal transmit power design problem to minimize the IBC of an AirComp system under the peak power constraint of sensors. To address the non-convexity of the optimization problem, an efficient optimization algorithm is developed to obtain a closed-form solution. Given the power allocation result, we obtain the task offloading result. By comparing our optimal power transmission policy with two benchmark policies in simulation, we show that our proposed scheme outperforms the baseline schemes with different SNR and the sensor number setups.