In this paper, exponential signals in the frequency domain are accurately analyzed by an algorithm, and the peaks of the discrete Fourier transform (DFT) result are adopted to obtain parameters that include amplitudes, frequencies, damping, and phases. There are two steps for this algorithm: interpolated DFT and leakage elimination. Interpolated DFT refers to the three neighboring spectral line...

Discrete Fourier Transform (DFT) is probably the most popular signal processing tool. Wide DFT use is partly dedicated to fast Fourier Transform (FFT) algorithms (Cooley & Tukey, 1965, Oppenheim et al., 1999, Lyons, 2004). DFT may also be efficiently computed by recursive algorithms in the window sliding by one sample (Jacobsen & Lyons, 2003, Duda, 2010). Unfortunately, DFT has two main drawbac...

To improve the estimation of active power, the possibility of estimating the amplitude square of a signal component using the interpolation of the squared amplitude discrete Fourier transform (DFT) coefficients is presented. As with an energy-based approach, the amplitude square can be estimated with the squared amplitude DFT coefficients around the component peak and a suitable interpolation a...

We present a new technique for estimating speed and slip of the induction motor. The method is based on the time-frequency analysis of the current supplying the motor. Interpolated DFT, computed in the sliding time window, is used for obtaining current spectrograms with high frequency resolution. The speed and the slip are estimated from the fluctuation of amplitude of the main current harmonic...

The discrete Fourier transform (DFT) algorithms are commonly used in frequency estimation. The interpolation direction of the interpolated algorithms based on DFT is always defined by the information of spectral amplitude, such as the Rife algorithm. In the case of low signal to noise ratio (SNR), false decision of the interpolation direction occurs sometimes. However, decreasing false rate of ...

The discrete Fourier transform (DFT) has become a main method of the harmonic analysis because it can be easily implemented in embedded system, but the conventional DFT is afflicted by the spectral leakage and the picket fence effect (PFE) in the asynchronous sampling. In this paper, the frequency-domain estimation method of the harmonic parameters, which is based on the windowing interpolated ...