基于小波框架与匹配追踪算法的宽带回波信号处理

Wideband Echo Signal Processing Based on Wavelet Frame and the Matching Pursuit Algorithm

文章主要研究如何基于小波框架与匹配追踪算法处理宽带回波信号,以求得运动目标的速度与位置。通过对宽带回波模型的研究,可以发现宽带回波信号的表示形式与小波框架存在一定的相似性。因此文章尝试将宽带回波信号用由发射信号生成的小波框架来表示,然后通过匹配追踪算法设法将时延-时间伸缩联合分布密度函数D(s,τ)求出,最终得到运动目标的速度与位置。通过仿真发现文中提出的算法取得了较好的效果,这对今后研究宽带回波信号的处理具有一定的指导意义。

This dissertation mainly studies how to use wavelet frame and matching pursuit algorithm to deal with wideband echo model and work out the velocities and the locations of moving targets. Through studying wideband echo model, it can be found that the representa- tion of wideband echo bears some resemblance to wavelet frame. Thereby this paper tries to use wavelet frame to represent wideband echo signal, then uses matching pursuit to compute time delay-time stretch ioint distribution density function D（s,τ） and finally get the velocities and the locations of moving targets. Simulation shows that the algorithm gains good results and it will be a guide to the next work.