谐波级数表示与周期时变参数模型间关系

Relation between harmonic series representation and periodically time-varying parametric model

以循环平稳随机过程的参数模型表示为研究对象,提出一种由循环平稳随机过程谐波级数表示(HSR)获得信号周期时变参数模型的方法.首先采用滑动平均参数模型(MA)来描述谐波级数表示中的联合平稳随机过程,然后利用谐波级数表示中谐波信号的周期性构造周期时变参数模型,最后通过仿真验证了模型的一致性.理论分析和仿真结果均表明在满足一定精度的条件下,可以由循环平稳随机过程的谐波级数表示获得周期时变参数模型.

A novel method to obtain the periodically time-varying parametric model from the harmonic series representation（HSR）of a cyclostationary random process is proposed.Firstly,the joint stationary random process in the HSR is represented by moving average（MA）parameter model and then a periodically time-varying parametric model is modeled by using the periodicity of harmonic signal.Lastly,the consistency between the two models is illustrated by the simulations.The theoretical analysis and simulation results show that periodically time-varying parameter model can be obtained from the HSR of a cyclostationary process in certain accuracy.