论文标题
一种稀疏约束的采样方法，并应用于通信和反向散射
A sparsity-constrained sampling method with applications to communications and inverse scattering
论文作者
论文摘要
我们将稀疏的直接采样方法（DSM）引入从探测该区域的信号中估算区域的性质。我们在两个单独的问题上证明了稀疏dsm：估计无线电波撞击阵列上的到达角度，以及来自散射声波的不均匀性的位置和形状。稀疏dsm本质上是定性的，因此它不需要模拟前向问题来解决反问题。该方法概括了两种较旧的定性方法，一种方法具有低分辨率重建，但使用的测量很少，一种是高分辨率，但具有较高的测量成本。稀疏-DSM继承了两者的积极品质。我们演示了有关测量和模拟示例的技术。
We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems: estimating both the angle-of-arrival of a radio wave impinging on an array and the location and shape of an inhomogeneity from scattered acoustic waves. The sparse-DSM is qualitative in nature, so it does not require the simulation of a forward problem to solve the inverse problem. The method generalizes of two older qualitative methods, one which has low-resolution reconstructions but uses few measurements and one which is high-resolution but has higher measurement cost. The sparse-DSM inherits positive qualities from both. We demonstrate the technique on measured and simulated examples.
