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Prony Scenarios and Error Amplification in a Noisy Spike-Train Reconstruction

2018/02/25 by Gil Goldman, Yehonatan Salman, Goldman, Gil +3 · 1 citation
Computer Science · Engineering · Mathematics · #34A37 #34A55 #44A60 #Advanced Numerical Analysis Techniques #FOS: Electrical engineering #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Signal Processing (eess.SP) #eess.SP #electronic engineering #information engineering #msc:34A37 #msc:34A55 #msc:44A60

paper · pdf · doi:10.48550/arxiv.1803.01685

20 pages

openalex publication_date 2018/02/25 · arxiv created 2018/03/08 · arxiv updated 2018/03/09 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28

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.

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