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An Estimation Technique for Spin Echo Electron Paramagnetic Resonance

Golub, Frank
http://rave.ohiolink.edu/etdc/view?acc_num=osu1372095953

Abstract Details

2013, Master of Science, Ohio State University, Electrical and Computer Engineering.
In spin echo electron paramagnetic resonance (SE-EPR) spectroscopy, traditional methods to estimate T2 relaxation time include fitting an exponential to the peaks or the integrated areas of multiple noisy echoes. These methods are suboptimal and result in lower estimation accuracy for a given acquisition time. Here, two data processing methods to estimate T2 for SE-EPR are proposed. The fi rst method fi nds the maximum likelihood estimate (MLE) of T2 via parametric modeling of the spin echo and joint least-squares fi tting of the collected data. The second method exploits the underlying rank-one structure in SE-EPR data via singular-value decomposition (SVD). The right singular vector corresponding to the largest singular value is then fi tted with an exponential to fi nd T2. This method bears strong similarity to a non-parametric MLE-based approach that does not assume a structure of an echo. The methods are validated using simulation and experimental data. The proposed methods provide 41-fold and 3-fold acquisition time savings over the traditional methods of fi tting echo peaks and areas, respectively. Interestingly, the results also indicate that the SVD-based approach generates mean squared error nearly identical to that produced by the MLE based on parametric modeling for a wide range of SNR.
Lee Potter (Advisor)
Bradley Clymer (Committee Member)
Rizwan Ahmad (Committee Member)
52 p.
Electrical Engineering; Medical Imaging
electron paramagnetic resonance; singular value decomposition; spin echo; maximum likelihood estimation; Cramer-Rao lower bound; EPR; SVD; MLE; CRLB; CRB; peak picking; echo integration;

Recommended Citations

Citations

  • Golub, F. (2013). An Estimation Technique for Spin Echo Electron Paramagnetic Resonance [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1372095953

    APA Style (7th edition)

  • Golub, Frank. An Estimation Technique for Spin Echo Electron Paramagnetic Resonance. 2013. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1372095953.

    MLA Style (8th edition)

  • Golub, Frank. "An Estimation Technique for Spin Echo Electron Paramagnetic Resonance." Master's thesis, Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1372095953

    Chicago Manual of Style (17th edition)

osu1372095953
544
© 2013, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.