Title Robust Frequency-Selective Knowledge-Based Parameter Estimation for NMR Spectroscopy
Authors Naveed Butt, Andreas Jakobsson, Samuel D. Somasundaram
Alternative Location http://www.eurasip.org/Proc..., Restricted Access
Year 2008
Document type Conference paper
Conference name 16th European Signal Processing Conference.
Conference Date 25-29 August, 2008.
Conference Location Lausanne, Switzerland.
Status Published
Quality controlled Yes
Language eng
Abstract English In many magnetic resonance spectroscopy (MRS)<br> applications, one strives to estimate the parameters<br> describing the signal to allow for more precise knowledge<br> of the analyte. Typically, MRS signals are well<br> modelled as a sum of damped sinusoids that has<br> properties that are partly known a priori. FREEK, a<br> recently proposed subspace-based parameter estimation<br> method allows for inclusion of such prior knowledge.<br> More specifically, FREEK assumes that there is a constant<br> frequency spacing (say Δ) between the damped<br> sinusoids, which is exactly known. However, any errors<br> in this prior knowledge will affect the accuracy of the<br> estimates. Herein, we present an extension of FREEK,<br> making it robust to such errors by allowing Δ to lie<br> in a small interval and utilizing a robust estimate of<br> Δ in the estimation of the remaining parameters. The<br> proposed approach is numerically shown to provide<br> robust estimates of the sinusoidal parameters at various<br> noise levels in the presence of mismatch between the<br> actual and the assumed spacing.

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