Research On Simulation And Statistical Characteristic Evaluation Methods Of Nakagami Fading Channel Model

The wireless channel is an important part of communication system,thus it is of great value to research wireless fading channels.However,the classic Rayleigh or Rice fading channel models only support a single environment,so it is difficult to apply to today’s complex and changeable application scenarios.However,the Nakagami fading channel model is not only backward compatible with Rayleigh,Rice,Gaussian and other fading channel models,but also can more accurately characterize the real environment under the corresponding channels,and is widely used in broadband wireless communication systems and long-distance wireless communication path.In addition,after the simulation of the wireless channel models,in order to verify its accuracy and stability,it is necessary to verify and evaluate its characteristic parameters.Therefore,this thesis focuses on the above problems and conducts research on the simulation of the Nakagami fading channel models and the verification of its characteristic parameters.The following is the main research content and specific work:Firstly,this thesis researched the basic theory of wireless fading channels.The wireless channels are divided into large-scale fading and small-scale fading according to the fading characteristic parameters,and research the specific characteristics under the corresponding type.Then,the parameters are divided into first-order statistical characteristics and second-order statistical characteristics according to the statistical characteristics of the wireless fading channels,and the specific parameters under the corresponding characteristics are introduced.At the same time,the classical models under the two fading types are analyzed.Secondly,the research object of this thesis--Nakagami fading channels are divided into two types: independent uncorrelation and time domain autocorrelation according to the correlation theory of fading channels are researched.For the independent and uncorrelated Nakagami fading channels,the corresponding amplitude probability density distribution is obtained,which is simulated by the inverse transformation method,the combination method and the rejection method.For the problem that most models do not consider the phase of the Nakagami channels in the real situation.The independent uncorrelated Nakagami fading complex channels in this thesis is the actual phase simulation of the Nakagami fading channels by the rejection method,and the amplitude sequence is superimposed.Nakagami fading channels simulation for time domain autocorrelation,this thesis introduces the methods of generating Rayleigh channels with autocorrelation,then use the inverse transformation method,the rank matching method and the channel decomposition method to combine the correlation of the Rayleigh channels respectively,finally,the Nakagami fading channels with time domain autocorrelation is obtained.Finally,this thesis researched the test methods of statistical characteristic parameters of Nakagami fading channels.Aiming at the shortcomings of the statistical characteristic test methods proposed by the predecessors,a test method based on the Cramer-von Mises(CvM)algorithm is proposed.In this thesis,the first-order statistical characteristic parameters of the independent uncorrelated Nakagami fading channels are tested by the test method based on the CvM single-sample algorithm,and then the test method based on the CvM two-sample algorithm is used to test the first-order and second-order parameters of the time-domain autocorrelated Nakagami fading channels.The simulation results show that under different fading factors m,the average recognition rate of the statistical characteristic parameters of the independent uncorrelated Nakagami fading channels reach 97.3%,the average recognition rate of statistical characteristic parameters of time domain autocorrelation Nakagami fading channels reach 96.3%.