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While spike trains are obviously not band-limited, the theory of super-resolution tells us that perfect recovery of unknown spike locations and weights from low-pass Fourier transform measurements is possible provided that the minimum spacing, ∆, between spikes is not too small. Specifically, for a cutoff frequency of f c , Donoho [2] shows that exact(More)
—We formulate a unified framework for the separation of signals that are sparse in " morphologically " different redundant dictionaries. This formulation incorporates the so-called " analysis " and " synthesis " approaches as special cases and contains novel hybrid setups. We find corresponding coherence-based recovery guarantees for an 1-norm based(More)
—Performance analyses of subspace algorithms for cisoid parameter estimation available in the literature are predominantly of statistical nature with a focus on asymptotic— either in the sample size or the SNR—statements. This paper presents a deterministic, finite sample size, and finite–SNR performance analysis of the ESPRIT algorithm and the matrix(More)
—This paper addresses the problem of identifying a linear time-varying (LTV) system characterized by a (possibly infinite) discrete set of delays and Doppler shifts. We prove that stable identifiability is possible if the upper uniform Beurling density of the delay-Doppler support set is strictly smaller than 1/2 and stable identifiability is impossible for(More)
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