Communication-Efficient Activity Detection for Cell-Free Massive MIMO: An Augmented Model-Driven End-to-End Learning Framework

A great amount of endeavour has recently been devoted to activity detection for cell-free massive multiple-input multiple-output (MIMO) systems, where multiple access points (APs) jointly identify the active devices from a large number of potential devices. In practice, the APs and the central processing unit (CPU) are connected by capacity-limited fronthauls and the signals at the APs need to be compressed/quantized before they are forwarded to the CPU. However, existing approaches treat the compression/quantization and activity detection as separate tasks, which makes it difficult to achieve global system optimality. To tackle the above problem, this paper proposes an augmented model-driven end-to-end learning framework which jointly optimizes the compression modules, quantization modules at the APs, and the decompression module and detection module at the CPU. Specifically, deep unfolding is leveraged for designing the detection module in order to inherit the domain knowledge derived from the optimization algorithm, and other modules are constructed by judiciously designed neural network architectures for improving the learning capability. Furthermore, we design an enhanced scheme so that the proposed framework is adaptable to different compression rates. We demonstrate numerically that the proposed framework significantly reduces the computational complexity and achieves better detection performance than the conventional approaches. Moreover, it costs a much smaller number of bits on the fronthauls while still maintaining the detection performance.