在小波域中恢复白噪背景下探地雷达信号

针对实际中所观测到的探地雷达信号时常会被噪声污染的问题,根据小波分析和分形理论在多尺度分析和自相似本质上的一致性,从研究分数布朗运动小波系数的统计特性,分析信号和噪声对小波系数统计特性的影响,在探地雷达信号处理中引入小波分析和随机分形理论,提出了在小波域中,使用平滑因子恢复加性白噪背景下探地雷达信号。仿真实验表明,该方法能有效地恢复白噪背景下探地雷达信号,显著地提高了信噪比(由0 db提高到13.9 db)。

The study of signal estimation from ground penetrate radar data in wavelet domain interfered by white noise

Considering that the observed signals in ground penetrate radar data are sometimes polluted by noise,we introduce,in this paper,the application of smoothing factor in wavelet domain to estimate available signal from GPR data interfered by white noise,according to wavelet analysis and fractal theory both havng identical properties in multi-scale analysis and self similarity.First,the signal with white noise is transformed via the wavelet analysis filter into multi-scale subsystems in time scale domain.Some non-stationary properties of fractal signals are attenuated in each scale by wavelet multi-resolution decomposition,then smoothing factor can be applied to estimate the multi-scale signals.Finally the estimated multi-scale signals are synthesized to obtain the estimated signal.With this multi-scale analysis/ synthesis,this method can extract available signal of 1/ f family of fractal from synthesized signal with white noise.A simulation examples is given for testing the performance of the proposed algorithm. The signal-to-noise ratio is evidently increased form 0 db to 13.9db.