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This paper is essentially tutorial in nature. We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple filtering… (More)

- Ingrid Daubechies
- IEEE Trans. Information Theory
- 1990

Two different procedures are studied by which a frequency analysis of a time-dependent signal can be effected, locally in time. The first procedure is the short-time or windowed Fourier transform,… (More)

- Marc Antonini, Michel Barlaud, Pierre Mathieu, Ingrid Daubechies
- IEEE Trans. Image Processing
- 1992

A scheme for image compression that takes into account psychovisual features both in the space and frequency domains is proposed. This method involves two steps. First, a wavelet transform used in… (More)

The EMD algorithm is a technique that aims to decompose into their building blocks functions that are the superposition of a (reasonably) small number of components, well separated in the… (More)

We are interested here in wavelet frames and their construction via multiresolution analysis (MRA); of particular interest to us are tight wavelet frames. The redundant representation offered by… (More)

Under certain conditions (known as the Restricted Isometry Property or RIP) on the m×N matrix Φ (where m < N), vectors x ∈ R that are sparse (i.e. have most of their entries equal to zero) can be… (More)

- Joshua Brodie, Ingrid Daubechies, Christine De Mol, Domenico Giannone, Ignace Loris
- Proceedings of the National Academy of Sciences…
- 2009

We consider the problem of portfolio selection within the classical Markowitz mean-variance framework, reformulated as a constrained least-squares regression problem. We propose to add to the… (More)

- Ingrid Daubechies
- IEEE Trans. Information Theory
- 1988

We define a set of operators which localize in both time and frequency. Tltese operators are similar to but different from the low-pass time-liting operators, the singular functions of which are the… (More)