Multi-resolution Fourier analysis: time-frequency resolution in excess of Gabor–Heisenberg limit - Springer

摘要

In this paper, multi-resolution Fourier analysis, labeled NY-MFA, suitable for time-varying spectra is proposed. It is shown that increasing time resolution has no detrimental effects on frequency resolution and achieved resolution bounds are in excess of Gabor–Heisenberg limit. Observation results with their increased time resolution, discriminated and precise frequency contents justify thoroughly the assumption of stationarity and consequently approach more precisely the concept of frequency and its changes than wavelets and short-term Fourier transform can do.