A Method For Fine Resolution Frequency Estimation From Three DFT Samples

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2011-06-01
The parameter estimation of a complex exponential waveform observed under white noise is typically tackled in two stages. In the first stage, a coarse frequency estimate is found by the application of an N-point DFT to the input of length N. In the second stage, a fine search around the peak determined in the first stage is conducted. The method proposed in this paper presents a simpler alternative. The method suggests a nonlinear relation involving three DFT samples already calculated in the first stage to produce a real valued, fine resolution frequency estimate. The estimator approaches Jacobsen's estimator for large N and presents a bias correction which is especially important for small and medium values of N.

Citation Formats
Ç. Candan, “A Method For Fine Resolution Frequency Estimation From Three DFT Samples,” IEEE SIGNAL PROCESSING LETTERS, vol. 18, no. 6, pp. 351–354, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39671.