Design of SCMA codebooks based on APSK constellations for Rayleigh fading channels

This paper describes a codebook generation algorithm for the sparse code multiple access (SCMA). In this paper, we propose an algorithm to construct MC based on amplitude and phase-shift keying (APSK) modulation constellations using optimization characteristics. Each dimension of multidimensional MC is formed by some APSK constellations with different amplitudes and initial phases. The proposed method makes it possible to construct MC with zero peak-toaverage power ratio and best characteristics. For the proposed algorithm, a simulation model of the communication system was developed and simulation was performed. The results show that the proposed method achieves better bit error rate performance when transmitting signals in the uplink Rayleigh channel. The resulting codebooks can be used in the following generations of communication systems.