Thermal Source Localization Through Infinite-Dimensional Compressed Sensing

2017/10/04 by Axel Flinth, Flinth, Axel, Ali Hashemi +1 · 1 citation
Engineering · #46N99 #65K10 #90C25 #FOS: Electrical engineering #FOS: Mathematics #Numerical Analysis (math.NA) #Signal Processing (eess.SP) #Sparse and Compressive Sensing Techniques #Structural Health Monitoring Techniques #Ultrasonics and Acoustic Wave Propagation #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1710.02016

openalex publication_date 2017/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a scheme utilizing ideas from infinite dimensional compressed sensing for thermal source localization. Using the soft recovery framework of one of the authors, we provide rigorous theoretical guarantees for the recovery performance. In particular, we extend the framework in order to also include noisy measurements. Further, we conduct numerical experiments, showing that our proposed method has strong performance, in a wide range of settings. These include scenarios with few sensors, off-grid source positioning and high noise levels, both in one and two dimensions.

Citations

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