The density-tapered method is a method to simulate amplitude weighting of full array by using the density of antenna element. However, the probability of the existence and non-existence of the element is 0 and 1 respectively, which makes the performance of the side lobe level of the pattern worse than that of the amplitude weighting of full array. In this paper, by improving the density-tapered method, gradual and interdependent density-tapered method is proposed to realize the design of sparse linear array, and the simulation experiments are carried out to compare and analyze the performance of peak side lobe level. The experimental results show that the improved density-tapered method can further reduce the side lobe level of the pattern.
Full-waveform inversion (FWI) of subsurface penetrating radar (SPR) is one of the most promising techniques for quantitative reconstruction of high-resolution dielectric properties distribution. However, due to the incomplete observation data of surface detection, there is significant ill-posedness in inversion and the inversion accuracy is lower than expected. In this paper, an FWI method for SPR data with adaptive bilateral total variation (ABTV) regularization is proposed. The method utilizes ABTV regularization to supplement the data constraints and retains the anomaly body boundary information. In addition, the regularization function of adaptive weight factor matrix is designed for the limitation of the standard bilateral total variation (BTV) regularization, which considers both the smoothing effect and the edge preservation effect. Synthetic experiment shows that the proposed method can reconstruct the permittivity distribution more accurately from 2-D SPR data.
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