In this paper, we propose a blind image watermarking algorithm based on the multiband wavelet transformation and the empirical mode decomposition. Unlike the watermark algorithms based on theâ€¦ (More)

The classical Wienerâ€™s lemma and its various generalizations are important and have numerous applications in numerical analysis, wavelet theory, frame theory, and sampling theory. There are manyâ€¦ (More)

Let M Â¢ 2 be a fixed positive integer. A family of closed subspaces Vj , j âˆš Z , of L 2 , the space of all square integrable functions on the real line, is said to be a multiresolution of L 2 if theâ€¦ (More)

Let `p, 1 â‰¤ p â‰¤ âˆž, be the space of all p-summable sequences and Ca be the convolution operator associated with a summable sequence a. It is known that the `pstability of the convolution operator Caâ€¦ (More)

In this correspondence, we introduce a sparse approximation property of order <i>s</i> for a measurement matrix <b>A</b>:||<b>x</b><i>s</i>||<sub>2</sub> ≤â€¦ (More)

In this paper, we study three interconnected inverse problems in shift invariant spaces: 1) the convolution/deconvolution problem; 2) the uniformly sampled convolution and the reconstruction problem;â€¦ (More)

In this paper, it is proved that every s-sparse vector x âˆˆ R can be exactly recovered from the measurement vector z = Ax âˆˆ R via some `-minimization with 0 < q â‰¤ 1, as soon as each s-sparse vector xâ€¦ (More)

Signals with finite rate of innovation are those signals having finite degrees of freedom per unit of time that specify them. In this paper, we introduce a prototypical space Vq(Î¦,Î›) modellingâ€¦ (More)