Statistical Analysis of Audio Signals using Time-Frequency Analysis

Statistical Analysis of Audio Signals using Time-Frequency Analysis

In this thesis, we provide nonparametric estimation of signals corrupted by stationary noise in the white noise model. We derive adaptive and rate-optimal estimators of signals in modulation spaces by thresholding the coefficients obtained from the Gabor expansion. The rates obtained using the class...

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Bibliografiske detaljer
Hovedforfatter: Tafo Noutseche, Idris Pavel
Andre forfattere: Holzmann, Hajo (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprog:engelsk
Udgivet: Philipps-Universität Marburg 2023
Fag:
Zeit-Frequenz Analyse
modulation spaces
short-time Fourier Transformation
alpha-modulation Räume
Modulationsräume
thresholding
Minimax
Thresholding
Gabor transform
Gabor Frames
Frames,
alpha-modulation spaces
minimax
time-frequency analysis
Mathematik
Gabor frame
short-time Fourier transform
Mathematics
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Klassifikationsnummer: urn:nbn:de:hebis:04-z2023-06660
Publikationsdatum: 2023-11-20
Datum der Annahme: 2023-09-22
Downloads: 38 (2024), 25 (2023)
Lizenz: https://creativecommons.org/licenses/by-nc-nd/4.0/
Zugangs-URL: https://archiv.ub.uni-marburg.de/diss/z2023/0666
https://doi.org/10.17192/z2023.0666

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