基扩展模型是最常用的快时变信道建模方法之一,而基函数的选取决定了建模的准确性.本文在多分辨率分析和Mallat算法的基础上,提出一种基于小波尺度函数构造基函数的方法,该方法采用Daubechies、Sym-let、Coiflet小波的尺度函数进行快时变信道拟合.理论分析和仿真结果均表明,采用本文提出的基函数拟合时变信道,其信道估计性能优于基于传统的CE-BEM、GCE-BEM、P-BEM、DCT-BEM等模型的信道估计性能,复杂度低于DKL-BEM、DPS-BEM模型.相比于其他利用小波尺度函数构造的基函数,利用Sym2小波尺度函数构造的基函数的性能最优.%Basis expansion model is one of the most commonly used modeling methods for rapidly time-varying channels,and the choice of basis functions determines the accuracy of the modeling.Based on multiresolution a-nalysis and Mallat algorithm,this paper proposed a basis function constructing method using wavelet scaling functions,which used Daubechies,Symlet,Coiflet wavelet scaling functions for rapidly time-varying channel fitting.Theoretical analysis and simulation results show that,using the proposed basis functions to fit time-va-rying channels,the performance of channel estimation is better than that of traditional CE-BEM,GCE-BEM, P-BEM,DCT-BEM models,while the complexity is lower than that of DKL-BEM,DPS-BEM models.Com-pared with other basis functions constructed by wavelet scaling function,the performance of basis function con-structed by Sym2 wavelet scaling function is optimal.
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