Abstract
The Taylor–Fourier transform (TFT) is suitable to analyse the spectrum of signals with non-stationary harmonics. It can be considered as an FIR filter bank consisting of maximally flat (MF) high-order filters which are computationally extensive and difficult for implementation. An adapted method is proposed for the TFT harmonic analysis which is based on the previously proposed multiple-resonator observer structure. The MF conditions are imposed to reshape frequency responses. This method by using a parallel structure with common feedback is very robust and, in addition, allows a reduction of the computational burden. Besides, this estimation method is adaptive and convenient for application in case of large frequency excursions, since the closed-form solutions allow that the fundamental frequency fluctuations can be followed by the filter central passband frequency.
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