基于达布变换的特征值通信性能研究

Study on Eigenvalue Communication Performance based on Darboux Transform

光纤中传输的信号会受到衰减、色散和非线性效应的影响导致波形或频谱中包含的信号失真,可采用特征值通信的方式来克服色散和非线性效应。文章首先使用达布变换(DT)合成孤子信号承载信息,通过对比非线性傅里叶变换(NFT)中的解析和数值法,选取合适的方法解调恢复信息。然后通过仿真实验对特征值通信方式进行了验证,并研究了传输过程中影响特征值的幅度、脉冲持续时间和采样点数等因素,仿真结果表明,使用文章所提方法通信距离能达到2 000 km以上。在此基础上,文章还对特征值的选取范围进行优化,使得接收端能够更为准确地解调出特征值承载的信息。

Signals transmitted in the optical fiber are affected by attenuation, dispersion and nonlinear effects, resulting in distortion of the signal contained in the waveform or spectrum. Eigenvalue communication is used to overcome dispersion and nonlinear effects. In this paper, Darboux Transformation(DT) is used to synthesize soliton signal bearing information. By comparing with the analytical method and numerical method in Nonlinear Fourier Transform(NFT), the appropriate method is used to demodulate the recovered information. The eigenvalue communication method is verified by simulation. The factors such as the amplitude, pulse duration and sampling points of the eigenvalues in the transmission process are studied. The simulation results show that the communication distance can reach more than 2 000 km. On this basis, the selection range of the eigenvalues is optimized, so that the information carried by the eigenvalue can be demodulated more accurately at the receiver side.