A Study Of Simulation Model For Nakagami Flat Fading Channel

Nakagami fading process is originated from the practical data fitting, and it can simulate actual wireless channel better than traditional Rice or Rayleigh fading process. Therefore, actual simulation methods on Nakagami fading channel have guiding significance for communication system design theoretically. Given wide sense stationary uncorrelated scattering and flat fading characteristic of the wireless channel, this thesis studies on simulation methods for independent non-related Nakagami slow fading channel and time domain autocorrelation Nakagami fast fading channel respectively.On the simulation methods for independent non-related Nakagami slow fading channel, this thesis analyzes the shortcomings of three typical existing Nakagami envelope simulation methods in simulation precision, algorithmic complexity and adaptability firstly, including the Combination Method, the Inverse Method and the Rejection Method. And then a novel simulation method for arbitrary random distribution, named Weight Method is presented. Finally, this thesis realizes the simulation for Nakagami envelope, phase and independent non-related Nakagami complex channel Based on the proposed Weight Method.On the simulation methods for time domain autocorrelation Nakagami fast fading channel, this thesis analyzes the first-order statistics and the second-order statistics of three typical existing simulation models, including the Inverse Method, the Brute Force Method and the Rank Matching Method, and indicates the shortcomings of their autocorrelation characteristic firstly. And then presents corresponding improvements. Finally, in order to solve the problem that the simulation results of improved methods are not consistent with the first-order statistics and second-order statistics at the same time, this thesis presents a novel simulation method for autocorrelation Nakagami fading channel based on the Weight Method and the Rank Match Method, named Modularization Method. This method splits the simulation for autocorrelation Nakagami complex channel into four subpart consist of the simulation for Nakagami envelop, the simulation for Nakagami phase, the order of envelop random sequence and the order of phase random sequence.The Weight Method proposed in this thesis can realizes the simulation for arbitrary random distribution, and its complexity can be adjusted by adjusting parameters of the method. This method has significant advantages in terms of adaptability, simulation precision and algorithmic complexity compared with the existing simulation methods and it provides accurate random sequences of the Nakagami envelope distribution and the Nakagami phase distribution in the simulation of independent non-related complex channel and time domain autocorrelation complex channel. Simulation results of the proposed Modularization Method shows that the first-order statistics and the secondorder statistics of the time domain autocorrelation complex channel are consistent with theoretical formula simultaneously with high simulation accuracy and moderate algorithmic complexity.