标题： 基于单快照 ESPRIT 的压缩谱估计：稳定性与分辨率 显示英文标题

标题： Compressive Spectral Estimation with Single-Snapshot ESPRIT: Stability and Resolution

摘要： 在本文中，通过旋转不变性技术（ESPRIT）进行信号参数估计的方法被开发用于单快照测量的谱估计。单快照ESPRIT（SS-ESPRIT）的稳定性与分辨率分析以及性能保证是主要关注点。在无噪声情况下，只要测量数据的数量至少是需要恢复的不同频率数量的两倍，就可以保证任意一组频率的精确重建。在存在噪声的情况下，并且假设真实频率之间的间隔至少为瑞利分辨率长度的两倍，给出了频率重建的显式误差界，该误差界以动态范围和频率间隔表示。分离度和稀疏性约束与连续压缩感知领先方法中的约束相比具有优势。 显示英文摘要

摘要： In this paper Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT) is developed for spectral estimation with single-snapshot measurement. Stability and resolution analysis with performance guarantee for Single-Snapshot ESPRIT (SS-ESPRIT) is the main focus. In the noise-free case, exact reconstruction is guaranteed for any arbitrary set of frequencies as long as the number of measurement data is at least twice the number of distinct frequencies to be recovered. In the presence of noise and under the assumption that the true frequencies are separated by at least two times Rayleigh's Resolution Length, an explicit error bound for frequency reconstruction is given in terms of the dynamic range and the separation of the frequencies. The separation and sparsity constraint compares favorably with those of the leading approaches to compressed sensing in the continuum.