I. Introduction
As an effective hardware technology to improve spectrum efficiency with lower power consumption, intelligent reflection surface (IRS) has recently been regarded as a prospective technology for 6G wireless communications [1], [2]. The IRS planar array consists of a large number of passive reflective elements, with the capability of adjusting phase shifts of electromagnetic waves through a programmable controller. It can increase the received signal energy and expand the coverage region. As one of the promising multiple access candidates, non-orthogonal multiple access (NOMA) allows multiple users to share the same resource block and can improve spectral efficiency and link density. The co-existence of IRS and NOMA offers great potential to achieve higher spectral efficiencies [3], [4]. In [5], the authors jointly optimized the beamforming vectors and phase shift matrix to reduce the transmitting power of IRS-NOMA systems. To further enhance the outage performance for IRS-NOMA networks, the impact of coherent phase shift and the random phase shift was analyzed in [6]. Combined with the 1-bit coding scheme, the performance of the IRS-assisted NOMA network was investigated with perfect successive interference cancellation (pSIC) and imperfect successive interference cancellation (ipSIC) [7].