Efficiency of the three-point interpolated DFT method on the normalized frequency estimation of a sine-wave

This paper focuses on the efficiency of the three-point interpolated discrete Fourier transform (IpDFT) method with maximum sidelobe decay windows on the normalized frequency estimation of a sine-wave corrupted by a stationary white noise. The efficiency is evaluated by means of the common uncertainty of the normalized frequency estimates, the expression of which is derived. Moreover, the efficiency of the three-point IpDFT method is compared with the one of the IpDFT method. Based on this comparison an algorithm which leads to the best method for normalized frequency estimation is proposed. The efficiency of this algorithm has been proved by means of computer simulations.