We present in this paper a novel algorithm for single channel speech enhancement. It is based on a subspace approach in the Bark domain and an optimal subspace selection by the minimum description length (MDL) criterion. The processing in the Bark domain allows us to take into account in an optimal manner the masking properties of the human auditory system. The subspace selection provided by th...

Digital holography (DH) is a promising technique for modern three-dimensional (3D) imaging. Coherent holography records the complex amplitude of a 3D object holographically, giving speckle noise upon reconstruction and presenting a serious drawback inherent in coherent optical systems. On the other hand, incoherent holography records the intensity distribution of the object, allowing a higher s...

Demixing refers to the challenge of identifying two structured signals given only the sum of the two signals and prior information about their structures. Examples include the problem of separating a signal that is sparse with respect to one basis from a signal that is sparse with respect to a second basis, and the problem of decomposing an observed matrix into a low-rank matrix plus a sparse m...

We consider the problems of designing a linear, time-varying filter with a specified " time-frequency (TF) pass region " and of constructing an orthonormal basis for the parsimonious expansion of signals located in a given TF support region. These problems of TF filtering and TF signal expunsion are reduced to the problem of designing a " TF subspace, " i.e., a linear signal space comprising al...

Eigenvector-based methods such as multiple signal classification (MUSIC) are currently popular in sinusoidal frequency estimation due to their high resolution. A problem with these methods is the often high cost of estimating the eigenvectors of the autocorrelation matrix spanning the signal (or noise) subspace. In this work, we propose an efficient Fourier transform-based method avoiding eigen...