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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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Main Author: Tafo Noutseche, Idris Pavel
Contributors: Holzmann, Hajo (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2023
Subjects:
Zeit-Frequenz Analyse
Minimax
Gabor Frames
Frames,
time-frequency analysis
Thresholding
minimax
short-time Fourier transform
Gabor frame
Gabor transform
thresholding
short-time Fourier Transformation
Modulationsräume
Mathematik
alpha-modulation Räume
modulation spaces
alpha-modulation spaces
Mathematics
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Call Number: urn:nbn:de:hebis:04-z2023-06660
Publication Date: 2023-11-20
Date of Acceptance: 2023-09-22
Downloads: 11 (2025), 100 (2024), 25 (2023)
License: https://creativecommons.org/licenses/by-nc-nd/4.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2023/0666
https://doi.org/10.17192/z2023.0666

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