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Asymptotically Exact Localized Expansions for Signals in Time-Frequency Domain

Published 26 Sep 2011 in math-ph and math.MP | (1109.5581v1)

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.

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