Prony Scenarios and Error Amplification in a Noisy Spike-Train Reconstruction
Signal Processing
2018-03-09 v2
Abstract
The paper is devoted to the characterization of the geometry of Prony curves arising from spike-train signals. We give a sufficient condition which guarantees the blowing up of the amplitudes of a Prony curve S in case where some of its nodes tend to collide. We also give sufficient conditions on S which guarantee a certain asymptotic behavior of its nodes near infinity.
Cite
@article{arxiv.1803.01685,
title = {Prony Scenarios and Error Amplification in a Noisy Spike-Train Reconstruction},
author = {Gil Goldman and Yehonatan Salman and Yosef Yomdin},
journal= {arXiv preprint arXiv:1803.01685},
year = {2018}
}
Comments
20 pages