SUBSPACE-BASED PARAMETER-ESTIMATION OF EXPONENTIALLY DAMPED SINUSOIDSUSING PRIOR KNOWLEDGE OF FREQUENCY AND PHASE

Subspace-based parameter estimators, like HTLS in nuclear magnetic res onance spectroscopy, are efficient and accurate in estimating paramete rs 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 p rior 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 p hase. The benefit of the new extended HTLS methods is confirmed via a simulation study. The same ideas can be used directly in other subspac e-based parameter estimation methods as weil. (C) 1997 Published by El sevier Science B.V.