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In this note, we show that the iterative frequency estimation technique proposed in is nothing but an approximate Gauss-Newton (GN) algorithm for minimizing the standard nonlinear least squares fitting criterion. Starting from the complex sinusoidal data model used in , we derive the GN algorithm for frequency estimation and show that by approximating some steps in the GN algorithm we arrive at the estimator proposed in . We then numerically compare the performances of GN and approximate GN algorithms with that of zero padded FFT.
Date of Publication: Dec. 2010