Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
Hybrid representations for audiophonic signal encoding
Signal Processing - Image and Video Coding beyond Standards
Sparse bayesian learning and the relevance vector machine
The Journal of Machine Learning Research
Blind Source Separation by Sparse Decomposition in a Signal Dictionary
Neural Computation
Learning Overcomplete Representations
Neural Computation
A modulated complex lapped transform and its applications to audio processing
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
Sparse signal reconstruction from limited data using FOCUSS: are-weighted minimum norm algorithm
IEEE Transactions on Signal Processing
Subset selection in noise based on diversity measure minimization
IEEE Transactions on Signal Processing
Greed is good: algorithmic results for sparse approximation
IEEE Transactions on Information Theory
Parametric dictionary design for sparse coding
IEEE Transactions on Signal Processing
DFT spectrum estimation from critically sampled lapped transforms
Signal Processing
A Bayesian Lasso via reversible-jump MCMC
Signal Processing
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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We consider sparse representations of audio based around the modulated complex lapped transform (MCLT) and a generalized iteratively reweighted least squares algorithm which can be interpreted as a variation of expectation maximization. We compare this mildly overcomplete representation to the more traditional modified discrete cosine transform (MDCT) in terms of coding cost and explore the possibility of extending it to a dual-resolution analysis using a pair of MCLT transforms, illustrating its potential application for audio modification.