As the Internet of things evolves towards low-power consumption and high speed, full duplex cell-free massive multiple input multiple output (CF-mMIMO) networks have gained significant attention, because of the potential for huge channel capacities. In order to effectively reduce the high infrastructure costs and additional power consumption resulting from self-interference cancellation and perfect hardware in full-duplex networks, the research on the performance of CF-mMIMO systems based on network-assisted full duplexing (NAFD) technology under Rician fading channels was explored. Considering imperfect channel estimation, the lower bounds of closed-form expressions for the total achievable rate and spectral efficiency (SE) under low-resolution digital-to-analog converter (DAC) were derived and validated across varying transmission powers and numbers of radio frequency (RF) antennas. With the help of this analytical solution, the effect of parameters, such as DAC resolution and number of terminals on transmission performance, were quantitatively analyzed. Simulation results indicate that equipping a 4~6 bit DAC at the access unit instead of a perfect DAC meets the urgent need for the low-power transmission of the Internet of energy things with only a minimal loss in capacity
