Minimum variance linear estimation of amplitudes for exponential signal models

Chinghui J. Ying, Lee C. Potter · IEEE Transactions on Signal Processing · 1999

This article presents the minimum variance consistent linear estimator for amplitude parameters in exponential signal models. A simple heuristic algorithm is presented to compute the weighting matrix that minimizes error variance; the resulting weighted least squares estimator accounts for the statistics of pole estimation errors. Additionally, analysis of binary diagonal weighting matrices demonstrates that for unweighted least-squares, the amplitude variance is reduced by truncating the Vandermonde system of equations.

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