Wavelet Packet Analysis And Order Cumulant Method In Ground-penetrating Radar Signal Processing Applications

In this paper applications of wavelet packet analysis, higher order cumulant method and some image processing method in the processing of GPR data acquired from subsurface target backscattering are presented, which includes the following contents: methods to denoise and suppress background clutter for target detection; to improve the time resolution for target position; target recognition.A method for denoising and suppressing clutter based on best tree wavelet packet analysis is developed. From this method we can obtain a better signal to clutter ratio, and improve the resolution, so we can position the target accurately.Based on the normal equation algorithm to FIR system identification and wavelet iteration, a method to estimate the wavelet from the third-order cumulant of field data is developed. Due to the fact that higher order cumulant retains the phase information of the signal, and can suppress the Gaussian noise(color or white noise) naturally, we can improve the time resolution via inverse filtering the wavelet estimated.We try to do the target recognition based on non-symmetric polarity effect using wavelet packet and an operator obtained when doing higher order cumulant analysis. At last, a method from image processing aspect based on signal energy character is developed. Examples of field datashow that these methods are effective. When combined these methods together, we can get a better result, e.g. integration of wavelet packet analysis with image processing, can make the wavelet packet analysis even more robust...