Asymptotically exact localized expansions for signals in the time-frequency domain

DOI10.1088/1751-8113/45/24/244035zbMATH Open1247.81200arXiv1109.5581OpenAlexW3102249963MaRDI QIDQ2896247

Aramazd H. Muzhikyan, Gagik T. Avanesyan

Publication date: 13 July 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1109.5581

Mathematics Subject Classification ID

Coherent states (81R30)

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