An atomic decomposition of a signal is an expression of the signal as a superposition of a
parametric collection of waveforms. Basis expansions, especially orthogonal cases such as …

In recent years there has been growing interest in nonlinear signal approximations and
atomic decomposition of functions. We propose a new approach to optimize overcomplete …

The matching pursuit algorithm can be used to derive signal decompositions in terms of the
elements of a dictionary of time-frequency atoms. Using a structured overcomplete dictionary …

Signal modeling techniques ranging from basis expansions to parametric approaches have
been applied to audio signal processing. Motivated by the fundamental limitations of basis …

The method of adaptive approximations by Matching Pursuit makes it possible to
decompose signals into basic components (called atoms). The approach relies on fitting, in …

In recent years there is a growing interest in the study of sparse representation for signals.
Using an overcomplete dictionary that contains prototype signal-atoms, signals are …

The matching pursuit algorithm derives an expansion of a signal in terms of the elements of
a large dictionary of time-frequency atoms. This paper considers the use of matching pursuit …

This dissertation makes contributions to the sparse approximation and efficient
representation of complex signals, eg, acoustic signals, using greedy iterative descent …

Complex signals need to be adaptively expanded over families of wave-forms selected to
match their different structures. A matching pursuit is a greedy algorithm that expands …

A recursive approach for shrinking coefficients of an atomic decomposition is proposed. The
corresponding algorithm evolves so as to provide at each iteration 1) the orthogonal …