Time-frequency localization and the spectrogram

DOI10.1006/acha.1994.1008zbMath0802.42030arXivfunct-an/9302004OpenAlexW2013317569MaRDI QIDQ1331823

Pankaj Topiwala, Jayakumar Ramanathan

Publication date: 27 September 1994

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9302004

zbMATH Keywords

signalwindowed Fourier transformGabor transformspectrogramwindow functiontime-frequency localization

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (12)

Phase space localized functions in the Dunkl setting ⋮ Singular values of compact pseudodifferential operators ⋮ Sharp rates of convergence for accumulated spectrograms ⋮ Spectral deviation of concentration operators for the short-time Fourier transform ⋮ Sampling time-frequency localized functions and constructing localized time-frequency frames ⋮ Two-term Szegő theorem for generalised anti-Wick operators ⋮ \(k\)-Hankel Gabor transform and its applications to the theory of localization operators ⋮ Mixed-state localization operators: Cohen's class and trace class operators ⋮ On accumulated spectrograms ⋮ Spectrograms and time-frequency localized functions in the Hankel setting ⋮ On accumulated Cohen's class distributions and mixed-state localization operators ⋮ Measures of localization and quantitative Nyquist densities

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