A Modified OMP for Multiple Reflection Wave Elimination in Layered Similar Media Parameter Estimation Using GPR Data

Layered parameter estimation represents a crucial application of ground-penetrating radar (GPR), playing a pivotal role in reconstructing the internal structures of media. In situations where adjacent media are similar and multiple reflected waves are present, conventional methods face substantial challenges in detecting weak echoes and accurately extracting time delays. To achieve precise estimation of layered media parameters in the presence of similar materials and multiple reflected waves, this article presents a modified orthogonal matching pursuit (OMP) parameter estimation method. This method extracts the correct time delays by eliminating multiple reflected waves and integrates the constructed generalized reflection coefficients to recover the signal. Subsequently, a genetic algorithm is utilized to optimize the constructed objective function, enabling the precise estimation of the thicknesses and permittivities of adjacent layers with similar media. This method is particularly applicable to scenarios involving two or more subsurface layers with nearly identical permittivities. Finally, numerical and real experiments have been conducted to validate the accuracy and effectiveness of the proposed method.