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Modeling and Simulating the Wireless Channels

Prof. Li Pingan Wuhan University of Tech. Modeling and Simulating the Wireless Channels. Flat fading channel model. Two classical simulation model early R.H. Clarke, Bell Syst. Tech. J., 1968 W.C. Jakes, Microwave Mobile Comm., 1974 Conventional flat fading model Jakes model

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Modeling and Simulating the Wireless Channels

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  1. Prof. Li Pingan Wuhan University of Tech. Modeling and Simulating the Wireless Channels

  2. Flat fading channel model • Two classical simulation model early • R.H. Clarke, Bell Syst. Tech. J., 1968 • W.C. Jakes, Microwave Mobile Comm., 1974 • Conventional flat fading model • Jakes model • Clarke Gaussian noise filter model • M. Patzold fading model in cell mobile communication system

  3. Jakes model • The sum of a set of sinusoids with uniformly distribution on phase (N=4M+2) X + X X X X + X X X

  4. Jakes model where denotes the maximal Doppler frequency

  5. Improved Jakes model (N=4M+2) X + X X X X + X X X

  6. Improved Jakes model where denotes the maximal Doppler frequency, are independent random variables uniformly distributed overfor all n.

  7. Gaussian noise filter IFFT Independent complex Gaussian white noise source IFFT • The sum of two quadrature independent Gaussian random variables

  8. Suzuki process • Suzuki process is a product process of a Rayleigh process and log-normal process ? ? Gaussian Complex Gaussian Rayleigh Log-normal

  9. PDF and auto-correlation for • Jakes power spectral density function • The autocorrelation function • The mean power of

  10. Method of equal distances: Rayleigh-distribution

  11. PDF and auto-correlation for • Power spectral density function • The autocorrelation function 3dB cutoff F

  12. Method of equal distances: Log-normal distribution To limit the F-region

  13. Suzuki Process Simulator X + Rayleigh Process X X X + X X X X + X X + Log-normal Process s m X Suzuki Process

  14. Simulation Approaches for Suzuki Process • 等距离法 • Method of Equal Distances (MED) • 等面积法 • Method of Equal Area (MEA) • 蒙特卡罗方法 • Monte Carlo Method (MCM) • 均方误差法 • Mean Square Error Method (MSEM)

  15. Simulation Results by using MED • 瑞利过程仿真 • 对数正态过程仿真器

  16. 理论值和仿真值比较 理论模型: It can be seen that the simulation model coincides very closely to the theoretical model

  17. 理论值和仿真值比较 理论模型: It can be seen that the simulation model coincides very closely to the theoretical model

  18. 理论值和仿真值比较（相关函数）

  19. TDL (Tap-Delay-Line) Model tap1 tap2 tap3 tap4 time Tx Rayleigh Fading Simulator X X X X Multi-paths Channel Model Rayleigh Fading Simulator Rayleigh Fading Simulator Rx Rayleigh Fading Simulator

  20. Questions!

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