Combining Amplitude And Phase Modulation Based On Permutation Group Code

The application scenarios of URLLC in the 5G standard place strict requirements on the reliability and enforceability of the communication system.This study attempts to conduct an exploratory study on the topic of communication physical layer coding and modulation technology.In the accumulation of the previous research work of this project,the algebraic structure of PGC has been comprehensively and deeply researched,and breakthrough progress has been made in the algebraic generation method of the code set.In this paper,the code words of PGC are used to modulate the amplitude and phase of the carrier simultaneously,which aims to form permutation lattice constellations of multi-dimensional amplitude and phase joint modulation based on PGC.The ultimate goal is to provide a more reliable coding and modulation scheme by analyzing the minimum Euclidean distance of PGC.This paper has done the following research work:Firstly,after analyzing that PGC have good euclidean distance parameters,three multi-dimensional signal models based on PGC are established,and three permutation lattice constellations are designed on this basis.Unlike the lattice constellations used in the standard and currently widely studied,the permutation lattice constellations are based on PGC which is in the positive integer field,and the elements of the constellation points can be calculated and generated by a complete algebraic method,making the signal transmission stronger.The enforceability of the system is confirmed by the theoretical analysis of the Euclidean distance parameter and the simulation experiments on the channels.Secondly,the amplitude-phase joint modulation based on PGC is combined with OFDM,and the coding modulation scheme suitable for frequency selective fading channels is studied,which reflects that the permutation lattice of the multidimensional amplitude-phase joint modulation signal can be effectively compatible with the OFDM technology in the standard.Finally,on the AWGN channels and Rayleigh fading channels,three kinds of multi-dimensional amplitude-phase joint modulation schemes and the technical scheme of combining them with OFDM were simulated.The best performance of permutation lattice constellations simulation is that at 10^-5 BER,the best signal-to-noise ratio is 39dB,which is better than BPSK by 5dB.