Paper Info
Title
Compressive Spectral Estimation with Single-Snapshot ESPRIT: Stability and Resolution.
Abstract
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 main focus. In noise-free case, exact reconstruction is guaranteed for any arbitrary set of frequencies as long as number of measurement data is at least twice number of distinct frequencies to be recovered. In presence of noise and under the assumption that true frequencies are separated by at least two times Rayleighu0027s Resolution Length, an explicit error bound for frequency reconstruction is given terms of dynamic range and separation of frequencies. The separation and sparsity constraint compares favorably with those of leading approaches to compressed sensing in continuum.
Year
Venue
Field
2016
arXiv: Information Theory
Rayleigh scattering,Spectral density estimation,Mathematical optimization,Dynamic range,Continuum (design consultancy),Estimation of signal parameters via rotational invariance techniques,Performance guarantee,Snapshot (computer storage),Compressed sensing,Mathematics
DocType
Volume
Citations 
Journal
abs/1607.01827
1
PageRank 
References 
Authors
0.35
9
1
Name
Order
Citations
PageRank
Albert C. Fannjiang111110.78