基于Warping变换的槽波频散补偿研究

Slot Wave Dispersion Compensation Based on Warping Transform

Warping变换是一种主要应用于水声学中的等价酉变换,用来处理在海洋波导中传播的简正波频散特性,通常是对水声信号在时域上或者频域上按相应特性关系进行重采样处理。该文将Warping变换应用于煤层槽波频散补偿,将煤层信道环境等效为"波导",通过对煤层环境下的Warping变换算子的推导,并将频散雷克子波信号输入到最终得到的Warping函数中,经过仿真发现Warping变换能够有效地消除频散效应对雷克子波造成的频带展宽、相位畸变和振幅衰减等影响,提高信号分辨率和清晰度。

Warping transform is a kind of equivalent unitary transform which is mainly applied in water acoustics. It is a method to deal with the characteristics of normalized wave dispersion propagating in ocean waveguides. Usually,the warping transform is used to resampled on time domain or frequency domain as the features relati- onship.ln this paper,the Warping transform is applied to the dispersion compensation of the groove of the coal seam,and the channel environment of the coal seam is equivalent to the ＂waveguide＂.Based on the derivation of the Warping transform operator in the coal seam environment and inputting the dispersion rake signal into the Warping function.We find that the Warping transform can effectively eliminate the effect caused by the dispersi- on effect which is the band broadening,phase distortion and amplitude attenuation to the rake wave and impro- ve signal resolution and sharpness.