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.
IEEE SIGNAL PROCESSING LETTERS

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Citation Formats
Ç. Candan, “A Method For Fine Resolution Frequency Estimation From Three DFT Samples,” IEEE SIGNAL PROCESSING LETTERS, pp. 351–354, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39671.