Multipoint Interpolated DFT Method for Frequency Estimation
Résumé
The accuracy of the normalized frequency estimation of a mul- tifrequency signal component by Interpolated Discrete Fourier Transform (IpDFT) method is affected by systematic errors. In [1], a Weighted Multipoint Interpolated Discrete Fourier Trans- form (WMIpDFT) method has been proposed to reduce these errors. This method uses only the rectangular and the 2-term maximum sidelobe decay windows. In this paper, the results of the method proposed in [1] are generalized to the maximum sidelobe decay windows with order higher than two. When the H-term maximum sidelobe decay window (H ≥ 2) is used and the number of interpolation points is set to (2J + 1), the expres- sion of the normalized frequency estimator is given. Then, the performance of the proposed WMIpDFT method is analyzed by means of computer simulations and experimental results.