Ten lectures on wavelets
Multirate systems and filter banks
Multirate systems and filter banks
Adapted wavelet analysis from theory to software
Adapted wavelet analysis from theory to software
Wavelets and subband coding
On the computation of wavelet coefficients
Journal of Approximation Theory
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
Digital Coding of Waveforms: Principles and Applications to Speech and Video
Digital Coding of Waveforms: Principles and Applications to Speech and Video
Time-Scale Modification of Audio Signals with Combined Harmonic and Wavelet Representations
ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97) -Volume 1 - Volume 1
Audio representations for data compression and compressed domain processing
Audio representations for data compression and compressed domain processing
Extending Spectral Modeling Synthesis with Transient Modeling Synthesis
Computer Music Journal
A new, fast, and efficient image codec based on set partitioning in hierarchical trees
IEEE Transactions on Circuits and Systems for Video Technology
Sparse audio representations using the MCLT
Signal Processing - Sparse approximations in signal and image processing
New signal decomposition method based speech enhancement
Signal Processing
Transients Detection in the Time-Scale Domain
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
Compressive Algorithms--Adaptive Solutions of PDEs and Variational Problems
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Dictionary learning for sparse approximations with the majorization method
IEEE Transactions on Signal Processing
Time-scale atoms chains for transients detection in audio signals
IEEE Transactions on Audio, Speech, and Language Processing
IEEE Transactions on Audio, Speech, and Language Processing
Multimedia Tools and Applications
A review on techniques for the extraction of transients in musical signals
CMMR'05 Proceedings of the Third international conference on Computer Music Modeling and Retrieval
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In this paper, we discuss a new approach for signal models in the context of audio signal encoding. The method is based upon hybrid models featuring simultaneously transient, tonal and stochastic components in the signal. Contrary to several existing approaches, our method does not rely on any prior segmentation of the signal. The three components are estimated and encoded using a strategy very much in the spirit of transform coding. While the details of the method described here are tailored to audio signals, the general strategy should also apply to other types of signals exhibiting significantly different features, for example images.