Fast MinMax energy-based phase correction method for NMR spectra with linear phase distortion

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Publication: 
Fast MinMax energy-based phase correction method for NMR spectra with linear phase distortion
Publishing date: 
May, 2017
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prof. dr hab. inż.
Tomasz P.
Zieliński
Prof.
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D5/114
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+48 12 6174814
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tzielin@kt.agh.edu.pl
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Tomasz P. Zieliński uzyskał stopień mgr inż. z elektroniki, dr habilitowanego z elektrotechniki i tytuł naukowy profesora z telekomunikacji odpowiednio w latach 1982, 1996 i 2003. Stopień doktora nauk technicznych otrzymał w 1989 roku w Instytucie Cybernetyki Technicznej i Robotów Bułgarskiej Akademii Nauk w Sofii. Od 1982 roku do 2006 roku pracował na AGH w Katedrze Metrologii, kolejno jako asystent (1982), adiunkt (1989) i profesor nadzwyczajny (2000). Od 2006 roku pracuje w Katedrze Telekomunikacji na stanowisku profesora zwyczajnego. Jest autorem lub współautorem ponad 150 prac naukowych (artykuły w czasopismach i referaty w materiałach konferencyjnych). Jest autorem trzech monografii: „Reprezentacje sygnałów niestacjonarnych typu czas-częstotliwość i czas-skala” (AGH, 1996), „Od teorii do cyfrowego przetwarzania sygnałów” (AGH, 2002, 2004) i „Cyfrowe przetwarzanie sygnałów: Od teorii do zastosowań” (WKŁ, 2005, 2007, 2009). Kierował ponad 10 polskimi projektami badawczymi oraz aktywnie uczestniczył w kilku programach międzynarodowych, m.in. „ECSON Engineering and Computational Science for Oncology Network” (Anglia), „VECTOR Versatile Endoscopic Capsule for gastrointestinal TumOr Recognition and therapy” (FP6 EC), „Efficacy of Laryngeal High-Speed Video-endoscopy” (NIH, USA). Jego zainteresowania naukowe obejmują zaawansowane zastosowania metod cyfrowego przetwarzania sygnałów w systemach telekomunikacyjnych i biomedycznych, w szczególności łączną czasowo-częstotliwościową analizę sygnałów. Jest członkiem IEEE.

Additional information: 

Tomasz P. Zielinski received the M.S. degree in electronics, the D.Sc. degree (habilitation) in electrical engineering and the the scientific Professor title in telecommunications from the AGH University of Science and Technology (AGH-UST), Kraków, Poland, in 1982, 1996 and 2003, respectively, and the Ph.D. degree in electrical engineering from the Institute of Engineering Cybernetics and Robotics of Bulgarian Academy of Sciences, Sofia, Bulgaria, in 1988. Since 1982 he has been working at the Department of Instrumentation & Measurement AGH-UST as a Research & Teaching Assistant (1982), Associate (1989), Assistant Professor (1996) and Associate Professor (2000). In 2006 he joined the Department of Telecommunications, AGH-UST as a Full Professor. He has authored and co-authored more than 150 scientific journal and conference papers. He is also the author of three monographs (all in Polish): Time-Frequency and Time-Scale Representations of Non-stationary Signals (1996), From Theory to Digital Signal Processing (2002, 2004) and Digital Signal Processing: From Theory to Applications (2005, 2007, 2009). He has been a supervisor of more than 10 Polish research projects and actively participated in a few international programs (EPSR Council UK, ECSON: Engineering and Computational Science for Oncology Network; VECTOR EC FP6: Versatile Endoscopic Capsule for gastrointestinal TumOr Recognition and therapy; NIH, USA: “Efficacy of Laryngeal High-Speed Video-endoscopy”). His research interests include advanced digital signal processing in telecommunication and biomedical systems, especially time-frequency signal analysis. He is an IEEE member.

Author/s: 
Zieliński T.P., Duda K., Ostrowska K.
Publication type: 
article
Publisher: 
Elsevier Journal of Magnetic Resonance
vol.: 
281
pages(from-to): 
104-117
Summary: 
This paper addresses the problem of phase correction of dense NMR spectra on the example of the etoxy derivative of the fused heterocyclic system 5,6,10b-triazaacephenanthrylene (TAAP-OEt). A new estimation method for the linear phase correction coefficients is proposed that successfully extends the minmax (minimization of maximum errors) approach of Siegel (1981). Distinctive to the Siegel method, the smallest values of the real part of the discrete Fourier transform (DFT) spectrum are maximized, not for the whole spectrum but only for DFT bins near the peaks selected by a new energy-based criterion. Additionally, the method makes use of two one-parameter optimizations for finding the phase correction line coefficients and not the single two-parameter search. The new method is demonstrated to be precise, fast and robust against additive noise. The method’s properties are verified in comparison with the state-of-the-art algorithms of Chen et al. (2002) and Bao et al. (2013) for laboratory recorded TAAPOEt FID data and for simulated TAAP-OEt signal consisting of the sum of more than 100 complex damped exponentials. Extensive simulations were also conducted on the set of test signals derived from the TAAPOEt signal by deterministic and pseudorandom manipulation of its content. The components of the signal model were identified by the Bertocco-Yoshida Interpolated DFT (IpDFT) algorithm with a spectral leakage correction. Simulated signals were embedded in the additive Gaussian noise, and the noiserobustness of all of the algorithms was evaluated. The obtained results demonstrate that the proposed method outperforms the Chen and the Bao algorithms, being more than 100 times faster than the Bao method (for a signal having 216 samples).
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