Multipoint Interpolated DFT method for frequency estimation

摘要

The accuracy of the frequency estimation of a multifrequency signal component by Interpolated Discrete Fourier Transform (IpDFT) method is affected by systematic errors. In a Weighted Multipoint Interpolated Discrete Fourier Transform (WMIpDFT) method has been proposed in order 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 are generalized for the maximum sidelobe decay windows with higher order than two, which are used to improve the performance by reducing the systematic errors. When the H-term maximum sidelobe decay window (H ges 2) is used and the number of interpolation points is (2J + 1), with 1 les J les H-1, the analytical formula to estimate the frequency is derived. Then, the performance of the obtained WMIpDFT method is analyzed by means of computer simulations.