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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Bibliographic Details
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
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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Call Number: urn:nbn:de:hebis:04-z2023-06660
Publication Date: 2023-11-20
Date of Acceptance: 2023-09-22
Downloads: 38 (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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