Abstract
State-space models are considered for estimating the frequencies of multiple sinusoids, and robust coordinate systems for frequency estimation are identified. It is shown that the ideal parameter set from a parameter sensitivity point of view involves estimating a unitary state transition matrix and then computing its eigenvalues to obtain an estimate of the frequencies. Procedures to estimate such matrices from covariance and time-series data are examined. It is shown that two state-space methods, the Toeplitz approximation method and direct data approximation, estimate robust state transition matrices.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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