Subspace-based parameter estimation of exponentially damped sinusoids using prior knowledge of frequency and phase

Publication Type  Journal Article
Year of Publication  1997
Authors  Chen, H; Van Huffel, S; van den Boom, A; van den Bosch, P
Journal Title  Signal Processing
Volume  59
Issue  1
Pagination  129-136
Publisher  Elsevier North-Holland, Inc. Amsterdam, The Netherlands, The Netherlands
Abstract  Subspace-based parameter estimators, like HTLS in nuclear magnetic resonance spectroscopy, are efficient and accurate in estimating parameters of a sum of exponentially damped sinusoids. But they suffer from a serious drawback that little prior knowledge can be incorporated which is important for the resolution and accuracy. Recently, one type of prior knowledge, known frequency and damping of some exponentials, has been successfully incorporated into HTLS. In this paper, another type of prior knowledge, known frequency and phase of some exponentials, is incorporated into HTLS. In addition, some variants are derived which allow some combinations of prior knowledge of frequency, damping and phase. The benefit of the new extended HTLS methods is confirmed via a simulation study. The same ideas can be used directly in other subspace-based parameter estimation methods as well. @ 1997 Published by Elsevier Science B.V.
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