无载波超宽带引信组合脉冲功率谱快速拟合方法

A Fast Fitting Method for Combined Pulse Power Spectrum of Carrier-free Ultra Wide-band Fuze

为满足无载波超宽带(UWB)引信高斯组合脉冲波形设计需求,该文提出一种基于正交化寻基(OBS)的快速功率谱拟合方法。根据脉冲形成因子的取值范围构造多个候选的高斯脉冲函数,在通过最大化互信息实现功率谱设计的基础上,以循环迭代的方法进行功率谱拟合,每次迭代都对候选高斯脉冲函数进行施密特正交化,并通过内积计算快速地找出尚未被选取的候选高斯脉冲函数中与残留幅度频谱最匹配的一个,最终,根据选定高斯脉冲函数与它们正交化函数之间的矩阵关系确定加权系数,从而得到组合波形,使得拟合出的功率谱与设计功率谱之间达到较好相似性。通过仿真,验证了该文所提方法的有效性,及其相对于粒子群迭代算法的高效性。

A fast power spectrum fitting method based on Orthogonal Basis Searching(OBS)is proposed to meet the requirements of Gaussian pulse combination waveform design for Carrier free Ultra Wide-Band(UWB)fuze.Multiple candidate Gaussian pulse functions are constructed according to the value range of the pulse forming factor,and on the basis of power spectrum design by maximizing mutual information,power spectrum fitting is carried out in a cyclic iteration method.In each iteration,Schmidt Orthogonalization is performed on the candidate Gaussian pulse functions,and the best one matches the residual amplitude spectrum is quickly found through the inner product calculation.Finally,the weighting coefficient is determined according to the matrix relationship between the selected Gaussian pulse functions and their Orthogonalization functions,so as to obtain the waveform combined with multi-pulse,which makes the fitted power spectrum and the designed one achieve good similarity.The effectiveness of the proposed method and its efficiency compared to the particle swarm optimization algorithm have been verified through simulation.