Energy-Efficient Channel Decoding for Wireless Federated Learning: Convergence Analysis and Adaptive Design

One of the most critical challenges for deploying distributed learning, such as federated learning (FL), in wireless networks is the limited battery capacity of mobile devices. While it is a common belief that the major energy consumption of mobile devices comes from the uplink data transmission, this paper presents a novel finding, namely the channel decoding operation also contributes significantly to the overall energy consumption of mobile devices in FL. Motivated by this new observation, we propose an energy-efficient adaptive channel decoding scheme that leverages the intrinsic robustness of FL to model errors. In particular, the robustness is exploited to reduce the energy consumption of channel decoders at mobile devices by adaptively adjusting the number of decoding iterations. We theoretically prove that FL with communication errors can converge at the same rate as error-free communication as long as the bit error rate (BER) is properly constrained. An adaptive channel decoding scheme is then proposed to improve the energy efficiency of FL systems. Experimental results demonstrate that the proposed method maintains the same learning accuracy while reducing the channel decoding energy consumption by 20% when compared to existing approaches.