A Novel Spectral Zoom Method based on Zolotarev Polynomials

This paper discusses the usage of symmetrical Zolotarev polynomials (ZPS)s in spectral analysis. Evaluation of Discrete Zolotarev transform (DZT) coefficients is briefly discussed. However, the DZT coefficients evaluation is problematic. An alternative novel method embedding ZPSs is proposed. The novel method, so-called DZT zoom, improves the spectrum's time resolution for non-stationary signals compared to narrowband spectrogram. Results are comparable to the approximated DZT (ADZT). The DZT zoom distinguishing property is the focus on a particular frequency band of the spectrum.