Multifrequency signal analysis by Interpolated DFT method with maximum sidelobe decay windows

In this paper, the estimation of a multifrequency signal parameters by the Interpolated Discrete Fourier Transform (IpDFT) method with maximum sidelobe decay windows is investigated. First, the theoretical expressions of ones of the most important parameters of a H-term maximum sidelobe decay window (H ⩾ 2) are derived. In the following, the analytical formulas for estimating the parameters of a multifrequency signal are derived. The influence of a white Gaussian noise on parameter estimations is analyzed. Accurate formulas for estimating the standard deviations of these parameter estimations are also given, which are corroborated by means of computer simulations. Most of the derived formulas are more simples than the ones given in the scientific literature.