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Stable Support Recovery of Stream of Pulses with Application to Ultrasound Imaging
- Publication Year :
- 2015
-
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.
- Subjects :
- Computer Science - Information Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1507.07256
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1109/TSP.2016.2552500