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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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