Robust Recovery of Positive Stream of Pulses

Tamir Bendory

doi:10.1109/TSP.2017.2656841

Robust Recovery of Positive Stream of Pulses

Tamir Bendory

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of estimating the delays and amplitudes of a positive stream of pulses appears in many applications, such as single-molecule microscopy. This paper suggests estimating the delays and amplitudes using a convex program, which is robust in the presence of noise (or model mismatch). Particularly, the recovery error is proportional to the noise level. We further show that the error grows exponentially with the density of the delays and also depends on the localization properties of the pulse.

Original language	English GB
Article number	7829411
Pages (from-to)	2114-2122
Number of pages	9
Journal	IEEE Transactions on Signal Processing
Volume	65
Issue number	8
DOIs	https://doi.org/10.1109/TSP.2017.2656841
State	Published - 15 Apr 2017
Externally published	Yes

Keywords

Convex optimization
Dual certificate
Rayleigh regularity
Sparse deconvolution
Stream of pulses
Super-resolution

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/TSP.2017.2656841

Cite this

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title = "Robust Recovery of Positive Stream of Pulses",

abstract = "The problem of estimating the delays and amplitudes of a positive stream of pulses appears in many applications, such as single-molecule microscopy. This paper suggests estimating the delays and amplitudes using a convex program, which is robust in the presence of noise (or model mismatch). Particularly, the recovery error is proportional to the noise level. We further show that the error grows exponentially with the density of the delays and also depends on the localization properties of the pulse.",

keywords = "Convex optimization, Dual certificate, Rayleigh regularity, Sparse deconvolution, Stream of pulses, Super-resolution",

author = "Tamir Bendory",

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AB - The problem of estimating the delays and amplitudes of a positive stream of pulses appears in many applications, such as single-molecule microscopy. This paper suggests estimating the delays and amplitudes using a convex program, which is robust in the presence of noise (or model mismatch). Particularly, the recovery error is proportional to the noise level. We further show that the error grows exponentially with the density of the delays and also depends on the localization properties of the pulse.

KW - Convex optimization

KW - Dual certificate

KW - Rayleigh regularity

KW - Sparse deconvolution

KW - Stream of pulses

KW - Super-resolution

UR - https://www.scopus.com/pages/publications/85014955654

U2 - 10.1109/TSP.2017.2656841

DO - 10.1109/TSP.2017.2656841

M3 - مقالة

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JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 8

M1 - 7829411

ER -

Robust Recovery of Positive Stream of Pulses

Abstract

Keywords

ASJC Scopus subject areas

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