Asymptotically Exact Localized Expansions for Signals in Time-Frequency Domain

Details Asymptotically Exact Localized Expansions for Signals in Time-Frequency Domain Asymptotically Exact Localized Expansions for Signals in Time-Frequency Domain

2011-09-26

arxiv.org/abs/1109.5581v1

Physics

Mathematical Physics

11 pages, 7 figures

Scientific paper

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.

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