Abstract: While employing massive multiple-input multiple-output (MIMO) can enhance the throughput of wireless communication systems, the energy consumption is increasing with the number of antennas at massive MIMO base stations, which is caused by the numerous analog-to-digital convertors (ADCs). In order to overcome this problem, this paper presents a novel multi-user full-duplex (FD) massive MIMO amplify-and-forward (AF) relaying system. In the proposed scheme, the low-resolution ADCs are employed at massive MIMO antenna array, and the zero-forcing transmitting/ zero-forcing receiving (ZFT/ZFR) processing schemes are used. For such relay systems, we first obtain the tractable closed-form of spectrum efficiency of each user pair. Then we present the asymptotic analyses of SE under three different power-scaling laws. It is found that, when the number of antennas grows to infinity, with different power-scaling scenarios, the systems have different ability to restrict the effect of loop interference and low-resolution ADCs. Specially, both the impact of loop-interference and quantizer error on achievable SE can be restricted effectively only under the power-scaling scenario where the relay’s transmit power is scaled down with the number of transmit antennas at relay while the one of sources is fixed. The promising result has a certain guiding significance to the design of full-duplex massive MIMO relaying system with low-resolution ADCs.