TY - CHAP A1 - Lieb, Florian T1 - Audio Inpainting Using M-Frames T2 - Current Trends in Analysis and Its Applications N2 - Classical short-time Fourier constructions lead to a signal decomposition with a fixed time-frequency resolution. However, having signals with varying features, such time-frequency decompositions are very restrictive. A more flexible and adaptive sampling of the time-frequency plane is achieved by the nonstationary Gabor transform. Here, the resolution can evolve over time or frequency, respectively, by using different windows for the different sampling positions in the time or frequency domain (Multiwindow-frames). This adaptivity in the time-frequency plane leads to a sparser signal representation. In terms of audio inpainting, i.e., filling in blanks of a depleted audio signal, sparsity in some representation space profoundly influences the quality of the reconstructed signal. We will compare this quality using different nonstationary Gabor transforms and the regular Gabor transform with different types of audio signals. KW - Audio inpainting KW - Convex optimization KW - Nonstationary Gabor frames KW - ERBlet Transform KW - Constant-Q transform KW - Mathematik KW - Aufsatzsammlung Y1 - 2015 UR - https://opus4.kobv.de/opus4-h-ab/frontdoor/index/index/docId/528 SN - 978-3-319-12576-3 VL - 2015 SP - 705 EP - 713 PB - Springer International Publishing ER -