基于小波函数和Hermitian矩阵特征向量,提出了一种产生超宽带(uwB)正交成形脉冲序列的方法.首先利用小波函数产生小于1ns的脉冲波形;然后构造Hermitian矩阵,根据其特征向量和Gram-Schmidt过程得到UWB正交成形脉冲序列.仿真结果表明,利用这种方法产生的UWB正交成形脉冲的功率谱密度分布,满足美国联邦通信委员会(FCC)频谱模板的要求,具有优良的频谱利用率和很好的自相关与互相关特性,可以满足UWB对于减小多用户间干扰的要求.
A method to numerically generate orthogonal ultra wide band (UWB) shaping pulse serieswas proposed based on wavelet and Hermitian matrix eigenvectors. In order to construct the Hermitian matrix, an appropriate pulse in less than 1 ns duration time was generated firstly based on wavelet.Then, the orthogonal pulse series were produced through Gram-Schmidt process using the Hermitian eigenvectors given by Hermitian matrix. The simulation results show that the power spectral density (PSD) distribution of the short time pulses generated with this method is constrained to the Federal Communications Commission (FCC) spectral mask for UWB, and the pulses have the characteristics of higher spectral utility rate, excellent autocorrelation and cross-correlation properties compared to the usual ones. This can meet the requirement for UWB to suppress the interference between multiusers.