Löthgren, Pia
(2012).
Maximum likelihood estimation in signal analysis of MR spectroscopy.
Umeå :
Sveriges lantbruksuniv.
, Rapport / Sveriges lantbruksuniversitet, Institutionen för skogsekonomi, 0348-2049
; 135
ISBN 978-91-576-9108-8
[Licentiate thesis]
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Abstract
Proton magnetic resonance spectroscopy (MRS) is used to determine the concentration of metabolites in organic tissues, or to study metabolic changes in a non-invasive way.
The complex-valued magnetic resonance spectroscopy signals are assumed to be disturbed by additive white noise. The distributional properties of the stochastic noise are studied. A statistical model for the magnitude and phase of the Fourier transformed magnetic resonance spectroscopy signal is introduced. Maximum likelihood estimators of the distributional parameters of this model are derived and asymptotic properties such as consistency, asymptotic normality and efficiency of the estimators are verified.
A simulation study is used to test the findings and the model is tested on magnetic resonance spectroscopy data from a spectroscopy phantom and human brain data.
| Authors/Creators: | Löthgren, Pia |
|---|---|
| Title: | Maximum likelihood estimation in signal analysis of MR spectroscopy |
| Series Name/Journal: | Rapport / Sveriges lantbruksuniversitet, Institutionen för skogsekonomi |
| Year of publishing : | 2012 |
| Number: | 135 |
| Number of Pages: | 80 |
| Place of Publication: | Umeå |
| Publisher: | Institutionen för Skogsekonomi, Biostokastikum |
| ISBN for printed version: | 978-91-576-9108-8 |
| ISSN: | 0348-2049 |
| Language: | English |
| Publication Type: | Licentiate thesis |
| Full Text Status: | Public |
| Agris subject categories.: | U Auxiliary disciplines > U10 Mathematical and statistical methods |
| Subjects: | (A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10106 Probability Theory and Statistics (A) Swedish standard research categories 2011 > 2 Engineering and Technology > 206 Medical Engineering > Other Medical Engineering |
| Agrovoc terms: | magnetic resonance imaging, spectroscopy, statistical methods, models |
| Keywords: | magnetic resonance spectroscopy, maximum likelihood estimation, Rice distribution, phase modeling |
| URN:NBN: | urn:nbn:se:slu:epsilon-e-725 |
| Permanent URL: | http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-725 |
| ID Code: | 9237 |
| Department: | (S) > Dept. of Forest Economics |
| External funders: | Europeiska regionala utvecklingsfonden |
| Deposited By: | Ms Pia Löthgren |
| Deposited On: | 16 Nov 2012 07:48 |
| Metadata Last Modified: | 02 Dec 2014 10:53 |
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