降低窄非对称Jakes谱仿真时间的方法

The Method of Reducing the Simulation Time for Narrow and Asymmetric Jakes Spectrum Simulation

  • 摘要: 使用遍历余弦波叠加模型对窄非对称Jakes谱仿真时,为了保证模型的时间自相关性能,所需的仿真时间很长。为了减小仿真时间需求,本文分析了模型的时间自相关偏差函数,发现其具有周期性的局部极小值点,且局部极小值单调减小;同时发现,应用等距离法建模,可使局部极小值点对应的时间周期最短且方便求取。在此基础上,本文提出:针对等距离法建立的仿真模型,在满足模型自相关性能需求的前提下,可将仿真时间设置约等于为偏差函数特定局部极小值点对应的时间周期。仿真表明,在同样时间自相关性能要求下,该方法相对于现有方法可将仿真时间需求降低一个数量级。

     

    Abstract: To meet the time autocorrelation performance requirement of the radio channel simulation, the required simulation time may be very long for the narrow and asymmetric Jakes spectrum simulation based on the ergodic sum-of–cisoids model. To reduce the required simulation time, in this paper, the time autocorrelation deviation function is analyzed to indicate that it has periodical local minimal values, which decrease monotonously. Meanwhile, these local minimal values are optimal and the corresponding time periods can be obtained conveniently, when the method of equal distance is applied to create the simulation model. Based on this analysis, an equal distance method based simulation model is propsoed by setting the simulation time to some specific value which is nearby the time period associated with specific local minimum values of the corresponding autocorrelation deviation function. Therefore, the resulted autocorrelation deviation function can approache its local minimal value with shortest simulation time requirement. The simulation resutls show that under the same time autocorrelation requirement, this propsoed method can reduce the simulation time length one order of magnitude than that of the existing methods.

     

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