This correspondence presents the minimum variance consistent Linear estimat
or for amplitude parameters in exponential signal model. A simple heuristic
algorithm is presented to compute the weighting matrix that minimizes erro
r variance; the resulting weighted least-squares estimator accounts fur the
statistics of pole estimation errors. Additionally, analysis of binary dia
gonal weighting matrices demonstrates that for unweighted least-squares, th
e amplitude variance is reduced by truncating the Vandermonde system of equ
ations.