| Ultra-Reliable Low-Latency Communications（URLLC）is a very challenging service category in the fifth generation mobile communication industry standard（5G）to accommodate application scenarios which require stringent latency（less than 1millisecond）and reliability(block error rate is 10-5).In this paper,based on the key requirements of URLLC,the permutation modulation（PM）technique is studied and a signal constellation for N-dimensional European signal space is designed,which is reliable and effective digital communication on AWGN channel or Rayleigh channel.The basic idea is to use the permutation group code（PGC）that defined in the positive integer domain as a mathematical tool to expand the signal vector and encode the binary information bits to form a time-amplitude-phase joint dual-domain modulation signal model.The main research work and content of this paper are as follows:Firstly,using permutation group code as a mathematical tool,three kinds of multidimensional high-order constellation are designed.Using the vector points of the constellation to control the transmitting carrier,the signal model of multidimensional amplitude phase joint modulation based on permutation group code is established,and a simplified demodulation algorithm with linear complexity is provided to meet the needs of low delay.In addition,in order to improve the spectral efficiency,a two-parameter（a,Q）two-dimensional modulation signal model and its two-dimensional constellation based on the framework of permutation array constellation are proposed.Then,the designed amplitude-phase joint modulation scheme is combined with OFDM multi-carrier technology to form a low power consumption and high data rate transmission scheme that can effectively resist dispersion and frequency selective fading.Secondly,the channel capacity of multi-dimensional amplitude-phase joint modulation and two-parameter（a,Q）two-dimensional modulation on AWGN channel is analyzed,and the corresponding mathematical expressions are deduced.Finally,simulation experiments of the proposed novel scheme The simulation results show that at 10-5bit error rate,when the code length n is 64,the performance of multi-dimensional amplitude-phase joint modulation on Gaussian channel is the best,6.4d B,a gain of 3.2 d B is achieved compared to 4QAM.The performance of two-parameter（a,Q）two-dimensional modulation with code length n=17 in Gaussian channel is 0.4 dB higher than that of 4QAM modulation. |
