  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.
