When imaging through layered media such as walls, the contents and thickness of the wall layers are generally not known a priori. Furthermore, compensating for their effects can be computationally intensive, as this generally requires modelling the transmission and reflection of complex fields through layered media. We propose a blind deconvolution method that does not require knowledge of the wall layers by directly estimating a circularly symmetric Green’s function that models the transmission through the wall layers, simultaneously addressing both problems. We experimentally demonstrate this technique by measuring the reflection through a multilayered structure of building materials at the K-band microwave frequencies, and using the blind deconvolution method to find the image of a reflective object behind the layers.

中文翻译：

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通过分层介质成像的稀疏盲反卷积

当通过层状介质（例如壁）成像时，壁层的内容物和厚度通常不是先验已知的。此外，补偿它们的影响可能需要大量计算，因为这通常需要对复杂场通过分层介质的传输和反射进行建模。我们提出了一种盲反卷积方法，该方法不需要通过直接估计对穿过壁层的传输进行建模的圆对称格林函数来直接了解壁层的知识，同时解决了这两个问题。我们通过测量在K波段微波频率下通过建筑材料多层结构的反射并使用盲反卷积方法在层后面找到反射物体的图像，来实验证明该技术。