Stable Support Recovery of Stream of Pulses With Application to Ultrasound Imaging
Stable Support Recovery of Stream of Pulses With Application to Ultrasound Imaging
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DOI：
10.1109/tsp.2016.2552500
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发表时间：
2016-07-15
影响因子：
5.4
通讯作者：
Feuer, Arie
中科院分区：
文献类型：
--
作者：
Bendory, Tamir;Bar-Zion, Avinoam;Feuer, Arie
研究了在噪声环境下加权脉冲叠加（称为脉冲流）的时延估计问题。我们表明，可以使用一个易于处理的凸优化问题来估计延迟，其定位误差与噪声水平的平方根成正比。此外，该算法产生的所有假检测都具有较小的振幅。数值和体外超声实验验证了理论结果，证明了理论结果在超声成像信号处理中的适用性。
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.