Asymptotically Exact Localized Expansions for Signals in Time-Frequency Domain

Abstract

Based on a unique waveform with strong exponential localization property, an exact mathematical method for solving problems in signal analysis in time-frequency domain is presented. An analogue of the Gabor frame exposes the non-commutative geometry of the time-frequency plane. Signals are visualized using graphical representation constructed.Comment: 11 pages, 7 figure