Estimation of the Multifrequency Signal Parameters by Interpolated DFT Method with Maximum Sidelobe Decay

Abstract

In this paper a comprehensive study concerning the estimation of a multifrequency signal parameters by the Interpolated Discrete Fourier Transform (IpDFT) method with maximum sidelobe decay windows is presented. Analytical formulas to estimate the parameters of a multifrequency signal by IpDFT method with H-term maximum sidelobe decay window (H ges 2) are derived. The analytical formula for amplitude estimate is more explicit and simple to implement than the one presented in the scientific literature. Also, an original demonstration of the formula used for the determination of the fractional part of the recorded cycles by IpDFT method is presented. Furthermore, simulations are used to compare the results obtained by means of the analytical formulas with the ones using the polynomial approximations employed in the IpDFT method with the maximum sidelobe decay windows.