Choice of the Window Used in the Interpolated Discrete Fourier Transform Method

In this paper a criterion for optimal choice of the maximum sidelobe decay window used in the interpolated discrete Fourier transform (IpDFT) method for estimating the parameters of a sine-wave is proposed. The window chosen by the proposed criterion is the window with the lowest order, which ensures that the systematic errors that affect the sine-wave parameters estimates are very small compared with the quantization errors. The window is chosen as a function of the maximum sine-wave amplitude up to which the systematic errors that affect the frequency estimates are very small compared with the quantization errors. To confirm the effectiveness of the proposed criterion, some computer simulations and experimental results are presented.