ArticleSensors (Basel, Switzerland)2014
Modified OMP algorithm for exponentially decaying signals.
Article in Sensors (Basel, Switzerland), 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Non-uniform sampling of similar NMR spectra and its application to studies of the interaction between alpha-synuclein and liposomes.Journal of biomolecular NMR · 2023Article
- A new analysis approach for TMagnetic resonance in medicine · 2019Article
- Pitfalls in compressed sensing reconstruction and how to avoid them.Journal of biomolecular NMR · 2017Article
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2 authors.
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Abstract
A group of signal reconstruction methods, referred to as compressed sensing (CS), has recently found a variety of applications in numerous branches of science and technology. However, the condition of the applicability of standard CS algorithms (e.g., orthogonal matching pursuit, OMP), i.e., the existence of the strictly sparse representation of a signal, is rarely met. Thus, dedicated algorithms for solving particular problems have to be developed. In this paper, we introduce a modification of OMP motivated by nuclear magnetic resonance (NMR) application of CS. The algorithm is based on the fact that the NMR spectrum consists of Lorentzian peaks and matches a single Lorentzian peak in each of its iterations. Thus, we propose the name Lorentzian peak matching pursuit (LPMP). We also consider certain modification of the algorithm by introducing the allowed positions of the Lorentzian peaks' centers. Our results show that the LPMP algorithm outperforms other CS algorithms when applied to exponentially decaying signals.
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