Asymptotically Exact Localized Expansions for Signals in Time-Frequency Domain
arXiv:1109.5581 · doi:10.1088/1751-8113/45/24/244035
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.
11 pages, 7 figures