Non-orthogonal multiple access (NOMA)-based cooperative relaying systems (CRS) are very promising to overcome spectral inefficiency of conventional cooperative communications. Although NOMA-CRS have great recent attention, almost all studies investigate NOMA-CRS only in terms of capacity and outage probability. Error performances of NOMA-CRS have not been well-studied. In this paper, we analyze error performance of NOMA-based diamond relaying network (NOMA-DRN) with imperfect successive interference canceler (SIC) as a NOMA-CRS scheme. We derive exact bit error probability (BEP) for NOMA-DRN and provide a tight approximated BEP in the closedform. In addition, high-SNR analysis is conducted to present that NOMA-DRN has an error floor. Moreover, it is proved that NOMA-DRN turns out to be a non-equiprobable communication system and we derive priori probabilities of symbols. All derived expressions are validated via computer simulations.Index Terms-error analysis, diamond relaying, NOMA
I. INTRODUCTIONN ON-orthogonal multiple access (NOMA) is seen as one of the key technologies to fulfill requirements of future wireless networks [1]. NOMA is based on allowing users to share the same resource blocks (time, frequency, code) by splitting them into power domain. It provides a spectral efficient communication and makes the massive connection possible in such networks, Internet of Things (IoT). Thus, a two-users application of NOMA has already taken place in the wireless standards [2] and it is expected to be part of wireless evolution. In addition to its spectral efficiency, since it is easy to implement in other physical layer techniques (e.g., cooperative communication, MIMO, cognitive radio etc.), NOMA involved systems have taken tremendous recent attention [3].The interplay between NOMA and cooperative communication has been one of the most attracted topics to increase spectral efficiency of cooperative communications. The authors in [4] have firstly proposed NOMA-based cooperative relaying systems (CRS). Ergodic sum rate of NOMA-CRS has been analyzed and its superiority to conventional CRS is proved over Rayleigh [4] and Rician fading channels [5]. The authors in [6] have analyzed the outage probability of NOMA-CRS for various scenarios with imperfect channel state information (CSI). Then, NOMA-CRS with an amplify-forward relay rather than decode-forward relay has been proposed in [7], and