Stable Support Recovery of Stream of Pulses with Application to Ultrasound Imaging

Tamir Bendory; Avinoam Bar-Zion; Dan Adam; Shai Dekel; Arie Feuer

doi:10.1109/TSP.2016.2552500

Stable Support Recovery of Stream of Pulses with Application to Ultrasound Imaging

Tamir Bendory, Avinoam Bar-Zion, Dan Adam, Shai Dekel, Arie Feuer

Tel Aviv University, Technion - Israel Institute of Technology

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

Abstract

This paper considers the problem of estimating the delays of a weighted superposition of pulses, called stream of pulses, in a noisy environment. We show that the delays can be estimated using a tractable convex optimization problem with a localization error proportional to the square root of the noise level. Furthermore, all false detections produced by the algorithm have small amplitudes. Numerical and in-vitro ultrasound experiments corroborate the theoretical results and demonstrate their applicability for the ultrasound imaging signal processing.

Original language	English
Article number	7450675
Pages (from-to)	3750-3759
Number of pages	10
Journal	IEEE Transactions on Signal Processing
Volume	64
Issue number	14
DOIs	https://doi.org/10.1109/TSP.2016.2552500
State	Published - 15 Jul 2016

Keywords

Time of arrival estimation
signal reconstruction
signal resolution
ultrasonic imaging.

All Science Journal Classification (ASJC) codes

Signal Processing
Electrical and Electronic Engineering

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10.1109/TSP.2016.2552500

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title = "Stable Support Recovery of Stream of Pulses with Application to Ultrasound Imaging",

abstract = "This paper considers the problem of estimating the delays of a weighted superposition of pulses, called stream of pulses, in a noisy environment. We show that the delays can be estimated using a tractable convex optimization problem with a localization error proportional to the square root of the noise level. Furthermore, all false detections produced by the algorithm have small amplitudes. Numerical and in-vitro ultrasound experiments corroborate the theoretical results and demonstrate their applicability for the ultrasound imaging signal processing.",

keywords = "Time of arrival estimation, signal reconstruction, signal resolution, ultrasonic imaging.",

author = "Tamir Bendory and Avinoam Bar-Zion and Dan Adam and Shai Dekel and Arie Feuer",

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doi = "10.1109/TSP.2016.2552500",

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AU - Dekel, Shai

AU - Feuer, Arie

PY - 2016/7/15

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N2 - This paper considers the problem of estimating the delays of a weighted superposition of pulses, called stream of pulses, in a noisy environment. We show that the delays can be estimated using a tractable convex optimization problem with a localization error proportional to the square root of the noise level. Furthermore, all false detections produced by the algorithm have small amplitudes. Numerical and in-vitro ultrasound experiments corroborate the theoretical results and demonstrate their applicability for the ultrasound imaging signal processing.

AB - This paper considers the problem of estimating the delays of a weighted superposition of pulses, called stream of pulses, in a noisy environment. We show that the delays can be estimated using a tractable convex optimization problem with a localization error proportional to the square root of the noise level. Furthermore, all false detections produced by the algorithm have small amplitudes. Numerical and in-vitro ultrasound experiments corroborate the theoretical results and demonstrate their applicability for the ultrasound imaging signal processing.

KW - Time of arrival estimation

KW - signal reconstruction

KW - signal resolution

KW - ultrasonic imaging.

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JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

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ER -

Stable Support Recovery of Stream of Pulses with Application to Ultrasound Imaging

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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