Estimation of complex single-tone parameters in the DFT domain

Authors:
Serge Provencher
Affiliations:
DSPectacle Inc., Montreal, QC, Canada
Venue:
IEEE Transactions on Signal Processing
Year:
2010

Citing 4
Cited 0

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Fast nearly ML estimation of the parameters of real or complexsingle tones or resolved multiple tones

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Estimation of frequency, amplitude, and phase from the DFT of atime series

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Abstract

In this correspondance, a new method is presented that uses the model of the complex single tone in the DFT domain to set a system of linear equations using 2 DFT samples. The solution of this linear system gives the value of 2 intermediary parameters from which it is easy to determine the frequency and the complex amplitude. This deterministic method is then applied directly for parameter estimation in noisy conditions.With appropriate choice of the DFT samples, the estimators are robust in poor SNR conditions.