A mixed time-frequency-scale analysis of the hybrid wavefront-resonance representation

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Abstract

Several time-frequency-scale processing schemes for the analysis of short pulse scattering fields are explored and calibrated in connection with the problem of reflections from multilayered dispersive media. The time-frequency signature consists of a (generally nonuniform) grid of wavefront arrivals and resonances. It is shown that the time-frequency resolution is bound by the unit-cell area, hence the signature of a particular wave process can be detected only if the processing windows are scale-matched to corresponding unit cells. The short-time Fourier transform (STFT) has therefore an inherent limitation because it has a built in scale, while the wavelet transform with a Morlet wavelet provides a framework that adapts to all scales with no a-priori information while retaining the frequency signature of the resonances. Localized scrutiny of a specific scale may then be achieved using the STFT, while super resolution may be achieved using a model based analysis.

Original languageEnglish
Title of host publicationUltra-Wideband Short-Pulse Electromagnetics 4
EditorsEhud Heyman, Benjamin Mandelbaum, Joseph Shiloh
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages361-370
Number of pages10
ISBN (Electronic)0306462060, 9780306462061
DOIs
StatePublished - 1998
Event4th Conference on Ultra-Wideband Short-Pulse Electromagnetics, UWBSP 1998 - Tel-Aviv, Israel
Duration: 14 Jun 199919 Jun 1999

Publication series

NameUltra-Wideband Short-Pulse Electromagnetics 4
Volume1998-June

Conference

Conference4th Conference on Ultra-Wideband Short-Pulse Electromagnetics, UWBSP 1998
Country/TerritoryIsrael
CityTel-Aviv
Period14/06/9919/06/99

Funding

FundersFunder number
US-Israel Binational Science Foundation95-00399
Air Force Office of Scientific Research96-1-0039

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